Technoculture/ambiguous_gsm8k · Datasets at Hugging Face

question stringlengths 55 999	missing_info listlengths 1 2	answer stringlengths 50 1.23k
There are a certain number green leaves on each of the 3 tea leaf plants. One-third of them turn yellow and fall off on each of the tea leaf plants. How many green leaves are left on the tea leaf plants?	[ { "keywords": [ "There", "are", "green", "leaves" ], "value": "18" } ]	In total, the 3 tea leaf plants have 18 x 3 = <<18*3=54>>54 green leaves. One-third of the yellow leaves falling off of all plants is 54 / 3 = <<54/3=18>>18. The number of remaining green leaves on the plants is 54 - 18 = <<54-18=36>>36. #### 36
John received a certain number gifts on his 12th birthday. He received 8 fewer gifts on his a certain number birthday. How many total gifts did he receive between those two birthdays?	[ { "keywords": [ "John", "received", "gifts", "on" ], "value": "20" }, { "keywords": [ "on", "his", "birthday.", "How" ], "value": "13th" } ]	He got 20-8=12 gifts on his 13th birthday So he got 20+12=<<20+12=32>>32 total gifts #### 32
Tom decides to renovate a house. There are a certain number bedrooms and each bedroom takes a certain number hours to renovate. The kitchen takes 50% longer than each bedroom. The living room took twice as much time as everything else combined. How long did everything take?	[ { "keywords": [ "bedroom", "takes", "hours", "to" ], "value": "4" }, { "keywords": [ "There", "are", "bedrooms", "and" ], "value": "3" } ]	The kitchen took 4 * .5 = <<4.5=2>>2 hours longer than the bedrooms So the kitchen took 4 + 2 = <<4+2=6>>6 hours The bedrooms took 3 4 = <<34=12>>12 hours So the kitchen and bedrooms combined took 12 + 6 = <<12+6=18>>18 hours The living room took 18 2 = <<18*2=36>>36 hours So everything took a total of 18 + 36 = <<18+36=54>>54 hours #### 54
Gary manages two Amazon distribution centers. The first center processes 10000 packages per day, and the second center processes three times that volume. If Amazon makes a certain number cents of profit per package, how much profit per week do the two centers make combined?	[ { "keywords": [ "Amazon", "makes", "cents", "of" ], "value": "5" } ]	First find how many packages the second center processes per day: 10000 packages/day * 3 = <<100003=30000>>30000 packages/day Then add the packages the first center processes: 30000 packages/day + 10000 packages/day = <<30000+10000=40000>>40000 packages/day Then multiply the number of packages by Amazon's profit per package to find Amazon's daily profit: 40000 packages/day $0.05/package = $2000/day Then multiply the daily profits by the number of days in a week to find the weekly profits: $2000/day * 7 days/week = $<<2000*7=14000>>14000/week #### 14000
In his company, Kenzo has 80 office chairs with five legs each and a certain number round tables with three legs each. If after a month a certain number of the chairs are damaged and have to be disposed of, calculate the total number of legs of furniture Kenzo has remaining in his company.	[ { "keywords": [ "a", "month", "of", "the" ], "value": "40%" }, { "keywords": [ "each", "and", "round", "tables" ], "value": "20" } ]	The number of chairs that are disposed of after they're found to be damaged is 40/10080 = <<40/10080=32>>32. The number of chairs in good condition in Kenzo's company is 80-32 = <<80-32=48>>48 The 48 chairs have 485 = <<485=240>>240 legs. The round tables also have 203 = <<203=60>>60 legs. In total, the furniture in Kenzo's company has 60+240 = <<60+240=300>>300 legs. #### 300
Arlene hiked 24 miles on Saturday, carrying a a certain number-pound backpack. She is exactly 5 feet tall. She spent 6 hours hiking. The temperature during the day was 60 degrees Fahrenheit. What was Arlene's average hiking pace, in miles per hour?	[ { "keywords": [ "day", "was", "degrees", "Fahrenheit." ], "value": "60" } ]	She hiked 24 miles. She spent 6 hours hiking. Her average pace was 24/6=<<24/6=4>>4 mph. #### 4
James paves a new parking lot. It is 400 feet by 500 feet. Only 80% of that is useable for parking. It takes a certain number square feet to park a car. How many cars can be parked?	[ { "keywords": [ "It", "takes", "square", "feet" ], "value": "10" } ]	The parking lot is 400500=<<400500=200000>>200,000 There are 200,000.8=<<200000.8=160000>>160,000 square feet of parking space That means he can park 16,0000/10=16000 cars #### 16000
Emma buys a certain number containers of milk every school day for lunch. She does not go to school on the weekends. How many containers of milk does she buy in a certain number weeks?	[ { "keywords": [ "buy", "in", "weeks?" ], "value": "3" }, { "keywords": [ "Emma", "buys", "containers", "of" ], "value": "2" } ]	There are 5 school days in a week: 5 days/week x 2 containers of milk/day = 10 containers of milk every week Finally the number of container for 3 weeks is 3 weeks x 10 containers/week = <<3*10=30>>30 containers #### 30
If 24 out of every 60 individuals like football and out of those that like it, a certain number play it, how many people would you expect play football out of a group of a certain number	[ { "keywords": [ "group", "of" ], "value": "250?" }, { "keywords": [ "like", "it,", "play", "it," ], "value": "50%" } ]	If 50% of individuals that like football play it, and there are 24 out of 60 individuals that like it, then 2450% = 12 out of 60 individuals play it If 12 individuals play it out of 60 individuals then that means only 12/60 = 1/5 or 20% play it If 20% of individuals play football out of a group of 250 people, one would expect 25020% = <<25020.01=50>>50 individuals to play it #### 50
Jacob has half the number of shoes Edward has. Edward has a certain number times the number of shoes Brian has. If Brian has a certain number pairs of shoes, how many pairs of shoes do they have in total?	[ { "keywords": [ "Brian", "has", "pairs", "of" ], "value": "22" }, { "keywords": [ "Edward", "has", "times", "the" ], "value": "3" } ]	Edward has 3 * 22 = <<3*22=66>>66 pairs of shoes. Jacob has 66 / 2 = <<66/2=33>>33 pairs of shoes. All of them have 22 + 66 + 33 = <<22+66+33=121>>121 pairs of shoes in total. #### 121
Roberto recently received a a certain number raise from his previous salary, which was already a certain number higher than his starting salary. If Roberto's starting salary was $80,000, what is his current salary?	[ { "keywords": [ "received", "a", "raise", "from" ], "value": "20%" }, { "keywords": [ "was", "already", "higher", "than" ], "value": "40%" } ]	Roberto has received 2 raises. On his first raise he received a 40% bump, therefore his new salary was $80,000 * 140% = $<<80000140.01=112000>>112,000 On his second raise, Roberto received a 20% bump, therefore his current salary is $112,000 * 120% = $<<112000120.01=134400>>134,400 #### 134400
Andy harvests all the tomatoes from 18 plants that have a certain number tomatoes each. If he dries half the tomatoes and turns a third of the remainder into marinara sauce, how many tomatoes are left?	[ { "keywords": [ "that", "have", "tomatoes", "each." ], "value": "7" } ]	First find the total number of tomatoes harvested: 18 plants * 7 tomatoes/plant = <<18*7=126>>126 tomatoes Then divide that number by 2 to find how many tomatoes are left undried: 126 tomatoes / 2 = <<126/2=63>>63 tomatoes Then divide that number by 3 to find how many tomatoes are turned into sauce: 63 tomatoes / 3 = <<63/3=21>>21 tomatoes Then subtract that number from the number of undried tomatoes to find the remaining number of tomatoes: 63 tomatoes - 21 tomatoes = <<63-21=42>>42 tomatoes #### 42
Jack is on the phone with a scammer who says the IRS will arrest Jack if he doesn't send them the codes from 6 $500 Best Buy gift cards and 9 $a certain number00 Walmart gift cards. After sending the codes for a certain number Best Buy gift card and 2 Walmart gift cards, Jack wises up and hangs up. How many dollars' worth of gift cards can he still return?	[ { "keywords": [ "card", "and", "Walmart", "gift" ], "value": "2" }, { "keywords": [ "codes", "for", "Best", "Buy" ], "value": "1" } ]	First find the number of Best Buy gift cards Jack needs to return: 6 cards - 1 cards = <<6-1=5>>5 cards Then multiply that number by the cost per card to find the total refund Jack gets from Best Buy: 5 cards * $500/card = $<<5500=2500>>2500 Then find the number of Walmart gift cards Jack needs to return: 9 cards - 2 cards = <<9-2=7>>7 cards Then multiply that number by the cost per card to find the total refund Jack gets from Walmart: 7 cards $200/card = $<<7*200=1400>>1400 Then add the two refunds to find his total refund amount: $2500 + $1400 = $<<2500+1400=3900>>3900 #### 3900
Luna's monthly food budget is equal to 60% of her house rental budget while her phone bill budget is a certain number of her food budget. If the total budget of house rental and food budget is $240, how much is Luna's total monthly budget to pay all those expenses?	[ { "keywords": [ "budget", "is", "of", "her" ], "value": "10%" } ]	Let x be Luna's house rental budget. The total budget for house and food rental is represented by the equation x + (60x/100) = 240. The equation becomes 100x + 60x = 24000 after multiplying each term by 100 to get rid of the fraction. By combining like terms, the equation becomes 160x = 24000. Thus, the value of x is 24000/160 = <<24000/160=150>>150 which represents the house rental budget. So, Luna's food budget is $240 - $150 = $<<240-150=90>>90. Her phone bill budget is $90 x 10/100 = $<<90*10/100=9>>9. Therefore, Luna's monthly budget for all those expenses is $240 (house and food) + $9 (phone) = $<<240+9=249>>249. #### 249
The student council sells scented erasers in the morning before school starts to help raise money for school dances. The local bookstore donated a certain number boxes of erasers. There are 24 erasers in each box. If the student council sells the erasers for $0.75 each, how much money will they make?	[ { "keywords": [ "bookstore", "donated", "boxes", "of" ], "value": "48" } ]	There are 48 boxes x 24 erasers = <<4824=1152>>1,152 erasers. The student council will make 1,152 erasers x $0.75 = $<<11520.75=864>>864. #### 864
Betty is a certain number years old, and she is the oldest person in the family. Her daughter is 40 percent younger than she is, and her granddaughter is one-third her mother's age. How old is the granddaughter?	[ { "keywords": [ "Betty", "is", "years", "old," ], "value": "60" } ]	Betty's daughter is 40/100 * 60 = <<40/10060=24>>24 years younger than she is. That means her daughter is 60 - 24 = <<60-24=36>>36 years old. So the granddaughter is 1/3 36 = <<1/3*36=12>>12 years old. #### 12
Joy fosters dogs. The mom foster dog eats 1.5 cups of food, three times a day. The puppies each eat a certain number cup of food, twice a day. There are 5 puppies. How much food will Joy need for the next 6 days?	[ { "keywords": [ "each", "eat", "cup", "of" ], "value": "1/2" } ]	The mom dog eats 1.5 cups of food * 3 = <<1.53=4.5>>4.5 cups per day. For 6 days the mom dog will need 6 4.5 cups = <<64.5=27>>27 cups of food. The puppies eat 1/2 cup of food 2 = <<1/22=1>>1 cup per day. There are 5 puppies 1 cup = <<51=5>>5 cups per day for the puppies. For the 6 days, the puppies will need 5 cups 6 = <<5*6=30>>30 cups of food. Combined the dogs will need 27 cups + 30 cups = <<27+30=57>>57 cups. #### 57
There are 84 people waiting in line to ride a roller coaster at an amusement park. The roller coaster has 7 cars, and each car seats a certain number people. How many times will the ride operator have to run the roller coaster to give everyone in line a turn?	[ { "keywords": [ "car", "seats", "people.", "How" ], "value": "2" } ]	Each run will hold 7 * 2 = <<7*2=14>>14 people. The ride will have to run 84 / 14 = <<84/14=6>>6 times. #### 6
Rodney has a certain number dollars more than Ian. Ian has half as much money as Jessica has. If Jessica has a certain number dollars, how much more money does Jessica have than Rodney?	[ { "keywords": [ "Jessica", "has", "dollars,", "how" ], "value": "100" }, { "keywords": [ "Rodney", "has", "dollars", "more" ], "value": "35" } ]	Ian has 100/2 = <<100/2=50>>50 dollars. Rodney has 50+35 = <<50+35=85>>85 dollars. Jessica has 100-85 = <<100-85=15>>15 more dollars than Rodney. #### 15
Tracy, Michelle, and Kati take a road trip that is a total of 1000 miles. Tracy drives 20 miles more than twice Michelle, and Michelle drives a certain number times the amount that Katie drives. How many miles does Michelle drive?	[ { "keywords": [ "Michelle", "drives", "times", "the" ], "value": "3" } ]	Let x represent the number of miles Kati drives Michelle:3x Tracy:20+2(3x)=20+6x Total:x+3x+20+6x=1000 10x+20=1000 10x=980 x=<<98=98>>98 miles 3(98)=<<3*98=294>>294 miles #### 294
Dale owns a certain number sports cars. The red one can travel at twice the speed of the green one, but the green one can travel at 8 times the speed of the blue one. The yellow one is broken and cannot move at all. If the blue one can travel at a speed of a certain number miles per hour, at what speed, in miles per hour, can the red car travel?	[ { "keywords": [ "speed", "of", "miles", "per" ], "value": "80" }, { "keywords": [ "Dale", "owns", "sports", "cars." ], "value": "4" } ]	If the blue car can travel at 80 mph, then the green one can travel at 880=<<880=640>>640 mph If the green car can travel at 640 mph, then the red can travel at 2*640=1280 mph #### 1280
John pays for half the cost of raising a child. It cost $10,000 a year for the first a certain number years and then twice that much per year until the child is 18. University tuition then costs $250,000. How much did it cost?	[ { "keywords": [ "the", "first", "years", "and" ], "value": "8" } ]	The first 8 years cost 810,000=$<<810000=80000>>80,000 The next 18-8=<<18-8=10>>10 years They cost 100002=$<<100002=20000>>20,000 per year So they cost 20,00010=$<<2000010=200000>>200,000 So the cost was 200,000+80,000=$<<200000+80000=280000>>280,000 Adding in the cost of tuition brings the cost to 250,000+280,000=$<<250000+280000=530000>>530,000 Since John pays for half the cost of raising the child, he pays $530000/2 = <<530000/2=265000>>265000 #### 265000
At a gym, the blue weights are 2 pounds each, and the green weights are 3 pounds each. Harry put a certain number blue weights and 5 green weights onto a metal bar. The bar itself weighs 2 pounds. What is the total amount of weight, in pounds, of Harry's custom creation?	[ { "keywords": [ "Harry", "put", "blue", "weights" ], "value": "4" } ]	The blue weights weigh 42=<<42=8>>8 pounds The green weights weigh 53=<<53=15>>15 pounds The weights weigh 8+15=<<8+15=23>>23 pounds. The total is then 23+2=<<23+2=25>>25. #### 25
Cindy tosses 5 dimes into the wishing pond. Eric flips 3 quarters into the pond. Garrick throws in a certain number nickels. Ivy then drops a certain number pennies in. If Eric dips his hands into the water and pulls out a quarter, how much money, in cents, did they put into the pond?	[ { "keywords": [ "then", "drops", "pennies", "in." ], "value": "60" }, { "keywords": [ "throws", "in", "nickels.", "Ivy" ], "value": "8" } ]	Cindy puts in 10 cents x 5 = <<105=50>>50 cents. Eric puts in 3 x 25 cents = <<325=75>>75 cents. Garrick puts in 8 x 5 cents = <<85=40>>40 cents. Ivy puts in 60 x 1 cent = <<601=60>>60 cents. After Eric pulls out a quarter, he has still left in the pond, 75 - 25 = <<75-25=50>>50 cents. Together, they put into the pond, this amount of money, 50 + 50 + 40 + 60 = <<50+50+40+60=200>>200 cents #### 200
Anthony and his friend Leonel read about the importance of keeping pets at home and decided to start adopting cats and dogs from the local rescue center. Anthony has a certain number cats and dogs, a certain number of which are cats. Leonel has half times as many cats as Anthony and seven more dogs than Anthony. How many animals in total do the two have?	[ { "keywords": [ "Anthony", "has", "cats", "and" ], "value": "12" }, { "keywords": [ "and", "dogs,", "of", "which" ], "value": "2/3" } ]	If Anthony has 12 pets, the number of cats is 2/3 * 12 pets = <<122/3=8>>8 cats The number of dogs that Anthony have is 12 pets - 8 cats = <<12-8=4>>4 dogs Leonel has 1/2 8 cats = <<8*1/2=4>>4 cats. If Leonel has seven more dogs than Anthony, then he has 4 dogs + 7 dogs = <<7+4=11>>11 dogs The total number of pets the two have is 11 dogs for Leonel + 4 cats for Leonel + 4 dogs for Anthony + 8 cats for Anthony = <<11+4+4+8=27>>27 #### 27
Steve wanted to make a total of $100 within four days, so he took on a berry-picking job in Sweden. The job paid $2 for every pound of lingonberries picked. On Monday he picked a certain number pounds. Tuesday’s harvest was triple what he had picked the previous day. On Wednesday he felt very tired and decided to rest. How many pounds of lingonberries did Steve have to pick on Thursday?	[ { "keywords": [ "he", "picked", "pounds.", "Tuesday’s" ], "value": "8" } ]	On Monday, Steve was paid 8 * 2 = <<82=16>>16 dollars Tuesday’s harvest was 3 8 = <<38=24>>24 pounds The 24 pounds Steve picked on Tuesday gave him 24 2 = <<24*2=48>>48 dollars So, the amount Steve earned from the first two days on the job is 16 +48 = <<16+48=64>>64 dollars Since Steve rested on Wednesday, he made 0 dollars, meaning his earnings were 64 + 0 = <<64+0=64>>64 dollars The difference between Steve’s earnings and his target is 100 - 64 = <<100-64=36>>36 dollars Since he was paid 2 dollars for each pound of lingonberries, Steve needed to pick 36/2 = <<36/2=18>>18 pounds #### 18
Bert was able to sell a certain number toy phones for $18 each, while Tory was able to sell a certain number toy guns for $20 each. How much more did Bert earn than Tory?	[ { "keywords": [ "to", "sell", "toy", "guns" ], "value": "7" }, { "keywords": [ "to", "sell", "toy", "phones" ], "value": "8" } ]	Bert was able to earn 8 x $18 = $<<818=144>>144 for the toy phones. While Tory was able to earn 7 x $20 = $<<720=140>>140 for the toy guns. Therefore, Bert was able to earn $144 – $140 = $<<144-140=4>>4 more than Tory. #### 4
Pauline will make tacos for dinner. She bought a box of taco shells that cost $5, a certain number bell peppers that cost $1.5 each, and a certain number pounds of meat that cost $3 per pound. How much did she spend in all?	[ { "keywords": [ "cost", "$5,", "bell", "peppers" ], "value": "4" }, { "keywords": [ "each,", "and", "pounds", "of" ], "value": "2" } ]	She spent 4 x $1.5 = $<<41.5=6>>6 for the four bell peppers. She spent 2 x $3 = $<<23=6>>6 for the 2 pounds of meat. So, Pauline spent $5 + $6 + $6 = $<<5+6+6=17>>17 in all. #### 17
A package of candy has 3 servings with a certain number calories each. John eats half the package. How many calories did he eat?	[ { "keywords": [ "servings", "with", "calories", "each." ], "value": "120" } ]	There were 3120=<<3120=360>>360 calories in the package So he ate 360/2=<<360/2=180>>180 calories #### 180
Diane bought twenty more apples than Cecile. If Cecile bought a certain number apples, how many apples did they buy altogether?	[ { "keywords": [ "Cecile", "bought", "apples,", "how" ], "value": "15" } ]	Diane bought 15 + 20 = <<15+20=35>>35 apples. Therefore, they bought 15 + 35 = <<15+35=50>>50 apples altogether. #### 50
At a roller derby, a certain number teams are competing. Each team is made up of 10 members, and each member needs a pair of roller skates to compete in and another pair of skates as a backup. None of the skates have laces yet, so each member is offered a certain number sets of laces per pair of skates. How many sets of laces have been handed out?	[ { "keywords": [ "roller", "derby,", "teams", "are" ], "value": "4" }, { "keywords": [ "is", "offered", "sets", "of" ], "value": "3" } ]	There are a total of 4 teams * 10 members per team = <<410=40>>40 team members. Each person receives 1 pair of competing roller skates + 1 pair of backup roller skates = <<1+1=2>>2 pairs of roller skates. So there are a total of 40 team members 2 pairs of roller skates per team member = <<402=80>>80 roller skates. There were therefore 80 roller skates 3 sets of laces per pair of roller skates = <<80*3=240>>240 sets of laces handed out. #### 240
Bucky earns money each weekend catching and selling fish. He wants to save up for a new video game, which costs $60. Last weekend he earned $35. He can earn $5 from trout and $4 from blue-gill. He caught five fish this Sunday. If a certain number were trout, and the rest were blue-gill, how much more does he need to save before he can buy the game?	[ { "keywords": [ "Sunday.", "If", "were", "trout," ], "value": "60%" } ]	He is $25 short for the game because 60 - 35 = <<60-35=25>>25 He caught 3 trout because 5 x .6 = <<5.6=3>>3 He caught 2 blue-gill because 5 - 3 = <<5-3=2>>2 He earned $15 from the trout because 3 x 5 = <<35=15>>15 He earned $8 from the blue-gill because 2 x 4 = <<2*4=8>>8 He earned $23 total because 15 + 8 = <<15+8=23>>23 He is $2 short because 25 - 23 = <<25-23=2>>2 #### 2
Rylee is bored and decides to count the number of leaves falling off the tree in her backyard. a certain number leaves fall in the first hour. For the second and third hour, the leaves fall at a rate of a certain number per hour. What is the average number of leaves which fell per hour?	[ { "keywords": [ "rate", "of", "per", "hour." ], "value": "4" }, { "keywords": [ "her", "backyard.", "leaves", "fall" ], "value": "7" } ]	7 leaves fell in the first hour. 4 leaves fell in the second hour. 4 leaves fell in the third hour. The total number of leaves that fell during the 3 hours is 7 + 4 + 4 = <<7+4+4=15>>15 leaves. The average number of leaves that fell per hour is 15 leaves / 3 hours = <<15/3=5>>5 leaves per hour. #### 5
Libby is building an igloo in her backyard using bricks of snow. She builds her igloo in rows, using a total of a certain number rows of bricks of snow. The bottom half of the igloo has 12 bricks of snow in each row while the top half of the igloo has a certain number bricks of snow in each row. How many bricks of snow did Libby use for her igloo?	[ { "keywords": [ "total", "of", "rows", "of" ], "value": "10" }, { "keywords": [ "igloo", "has", "bricks", "of" ], "value": "8" } ]	In the bottom half of the igloo, there are 10 rows / 2 = <<10/2=5>>5 rows of bricks of snow. So in the bottom half of the igloo, there are 5 rows * 12 bricks of snow in each row = <<512=60>>60 bricks of snow. In the top half of the igloo, there are 5 rows 8 bricks of snow in each row = <<5*8=40>>40 bricks of snow. There is therefore a total of 60 + 40 = <<60+40=100>>100 bricks of snow in the igloo. #### 100
In ten years, I'll be twice my brother's age. The sum of our ages will then be a certain number years old. How old am I now?	[ { "keywords": [ "then", "be", "years", "old." ], "value": "45" } ]	Let X be my age now. In ten years, I'll be X+<<+10=10>>10 years old. In ten years, my brother will be (X+10)1/2 years old. In ten years, (X+10) + (X+10)1/2 = 45. So (X+10)3/2 = 45. X+10 = 45 2/3 = 30. X = 30 - 10 = <<30-10=20>>20 years old. #### 20
Haruto has tomato plants in his backyard. This year the plants grew a certain number tomatoes. Birds had eaten a certain number of the tomatoes. He picked the rest. If Haruto gave half of his tomatoes to his friend, how many tomatoes does he have left?	[ { "keywords": [ "plants", "grew", "tomatoes.", "Birds" ], "value": "127" }, { "keywords": [ "had", "eaten", "of", "the" ], "value": "19" } ]	After the birds ate 19 of the tomatoes Haruto has 127 - 19 = <<127-19=108>>108 tomatoes left. After giving half of his tomatoes to his friend, Haruto had 108 / 2 = <<108/2=54>>54 tomatoes. #### 54
When it rains, the three holes in the garage roof leak water at different rates. The largest hole leaks at a rate of a certain number ounces of water per minute. The medium-sized hole leaks water at one-half the rate of the largest hole. And the smallest hole leaks water at a rate of one-third the rate of the medium-sized hole. When it rains, what is the combined amount of water, in ounces, that leak from all three holes over a a certain number time period?	[ { "keywords": [ "over", "a", "time", "period?" ], "value": "2-hour" }, { "keywords": [ "rate", "of", "ounces", "of" ], "value": "3" } ]	The medium-sized hole leaks at a rate of one-half that of the largest hole, or 3/2=<<3/2=1.5>>1.5 ounces per minute. The small-sized hole leaks at a rate of one-third that of the medium-sized hole, or 1.5/3=<<1.5/3=0.5>>0.5 ounces per minute. Combined, the three holes leak at a rate of 3+1.5+0.5=<<3+1.5+0.5=5>>5 ounces per minute. Since one hour is 60 minutes, two hours is 260=<<260=120>>120 minutes. In total, over the two hours, the three holes will leak a combined 1205=<<1205=600>>600 ounces of water. #### 600
Maddy's a certain number grade class needs to make 1000 Valentine's Day cards to get a pizza party. There are a certain number kids in the class. If everyone makes 8, how many more cards will they need to make to get a pizza party?	[ { "keywords": [ "Maddy's", "grade", "class" ], "value": "4th" }, { "keywords": [ "There", "are", "kids", "in" ], "value": "30" } ]	If 30 kids each make 8 cards, they will have made 240 cards because 308 = <<308=240>>240. Since 1000-240 = <<1000-240=760>>760, they need to make 760 more cards. #### 760
Harvey and his friend Sam decided to run a footrace in their school track field to see who was better at running. While at it, Harvey runs a certain number miles more than his friend Sam, who runs a total of a certain number miles. Calculate the total number of miles the two friends run together.	[ { "keywords": [ "Harvey", "runs", "miles", "more" ], "value": "8" }, { "keywords": [ "total", "of", "miles.", "Calculate" ], "value": "12" } ]	If Harvey ran 8 more miles, then he ran a total of 12 miles + 8 miles = <<12+8=20>>20 miles. The two friends ran a total of 20 miles + 12 miles = <<20+12=32>>32 miles #### 32
Jeff spends three times as many hours on the weekend catching up with his Facebook pals as he does working. Monday through Friday, however, he spends four times as many hours working as he does catching up. If he spends a certain number hours every day catching up, how many hours does he spend working in an entire week?	[ { "keywords": [ "he", "spends", "hours", "every" ], "value": "3" } ]	On the weekend, Jeff works 3 / 3 = <<3/3=1>>1 hour each day. On the weekdays, he spends 4 * 3 = <<43=12>>12 hours working each day. Thus, he spends 2 1 + 5 * 12 = <<21+512=62>>62 hours working each week. #### 62
John worked 8 hours a day every day from the a certain number to the 8th, including the 3rd and not including the 8th. How many hours did he work?	[ { "keywords": [ "from", "the", "to", "the" ], "value": "3rd" } ]	He worked for 8-3=<<8-3=5>>5 days So he worked for 58=<<58=40>>40 hours #### 40
A library has a certain number rectangular tables and the remaining tables will be square tables. A rectangular table seats 10 pupils while a square table seats 4 pupils. How many square tables are needed so that a certain number pupils can read at the same time?	[ { "keywords": [ "so", "that", "pupils", "can" ], "value": "90" }, { "keywords": [ "library", "has", "rectangular", "tables" ], "value": "7" } ]	The rectangular tables seat 710=<<710=70>>70 pupils. The square tables will seat 90-70=<<90-70=20>>20 pupils. The library needs 20/4=<<20/4=5>>5 square tables. #### 5
Makenna is selling candy for her Softball Team. The box contains a certain number milk chocolate bars, 25 dark chocolate bars, 25 milk chocolate with almond bars, and 25 white chocolate bars. What is the percentage of each type of chocolate bar?	[ { "keywords": [ "box", "contains", "milk", "chocolate" ], "value": "25" } ]	Since there are four types of chocolate bars and each type has 25 bars, the total number of chocolate bars is 254=<<254=100>>100. Since there is a total of 100 chocolate bars and four types of chocolate, we divide 100/4=<<100/4=25>>25%. #### 25
To make a cherry pie, Veronica needs a certain number pounds of pitted cherries. There are 80 single cherries in one pound of cherries. It takes 10 minutes to pit a certain number cherries. How many hours will it take Veronica to pit all the cherries?	[ { "keywords": [ "to", "pit", "cherries.", "How" ], "value": "20" }, { "keywords": [ "Veronica", "needs", "pounds", "of" ], "value": "3" } ]	There are 80 cherries in a pound and she needs 3 pounds to make a pie so she needs 803 = <<803=240>>240 cherries It takes her 10 minutes to pit a unit of 20 cherries. She has 240/20 = <<240/20=12>>12 units of cherries to pit It takes 10 minutes to pit a unit of cherries and she has 12 units so it will take her 1012 = <<1012=120>>120 minutes 60 minutes are in 1 hour and it takes her 120 minutes so that’s 120/60 = <<120/60=2>>2 hours #### 2
John uses 5 liters of fuel per km to travel. How many liters of fuel should John plan to use if he plans to travel on two trips of a certain number km and 20 km?	[ { "keywords": [ "trips", "of", "km", "and" ], "value": "30" } ]	The first trip will use 305=<<305=150>>150 liters of fuel. The second trip will use 205=<<205=100>>100 liters of fuel. The total liters of fuel are 150+100=<<150+100=250>>250 liters. #### 250
A big snowstorm caused a large amount of snow to fall onto Grandpa's farm, and the wind caused the snow to pile up into a drift. But on the second day, it warmed up enough that half of the snowdrift melted. The third day, it snowed again, adding another 6 inches of snow onto the snowdrift. On the fourth day, another a certain number inches of snow fell onto the snowdrift. If the snowdrift was a certain number inches deep at the end of the fourth day, how deep in inches was the drift at the end of the first day?	[ { "keywords": [ "day,", "another", "inches", "of" ], "value": "18" }, { "keywords": [ "snowdrift", "was", "inches", "deep" ], "value": "34" } ]	The third and fourth day contributed 6+18=<<6+18=24>>24 inches to the depth of the snowdrift. Therefore, the size of the snowdrift after half was melted on the second day, but before the snowfall on the third and fourth day, was 34-24=<<34-24=10>>10 inches. If the size of the drift on the second day, after half of the snow had melted, was 10 inches, then the depth of the original drift created on day 1 was 2*10=20 inches deep. #### 20
Ed and Jacob already had a certain number shells in their shell collection. Then they went to the beach to collect even more. Ed found 7 limpet shells, a certain number oyster shells, and 4 conch shells. Jacob found 2 more shells than Ed did. How many shells do the pair have altogether?	[ { "keywords": [ "Jacob", "found", "more", "shells" ], "value": "2" }, { "keywords": [ "already", "had", "shells", "in" ], "value": "2" } ]	Ed found 7 shells + 2 shells + 4 shells = <<7+2+4=13>>13 shells at the beach. Jacob found 13 shells + 2 shells = <<13+2=15>>15 shells at the beach. In total Ed and Jacob have 2 shells + 13 shells + 15 shells = <<2+13+15=30>>30 shells. #### 30
Dawn, Lydia, and Donna have a total of a certain number bananas. Dawn has a certain number more bananas than Lydia. If Lydia has 60 bananas, how many bananas does Donna have?	[ { "keywords": [ "total", "of", "bananas.", "Dawn" ], "value": "200" }, { "keywords": [ "Dawn", "has", "more", "bananas" ], "value": "40" } ]	If Lydia has 60 bananas, and Dawn has 40 more, then Dawn has 60+40 = <<60+40=100>>100 bananas. The total number of bananas Dawn and Lydia have is 100+60 = <<100+60=160>>160 bananas. Donna has 200-160 = <<200-160=40>>40 bananas. #### 40
Bianca worked for a certain number hours last weekend. Celeste worked for twice that amount of time and McClain worked 8.5 hours less than Celeste. How many minutes did the a certain number people work in total?	[ { "keywords": [ "did", "the", "people", "work" ], "value": "3" }, { "keywords": [ "worked", "for", "hours", "last" ], "value": "12.5" } ]	Bianca = <<12.5=12.5>>12.5 hours Celeste 2 * 12.5 = <<212.5=25>>25 hours McClain = 25 - 8.5 = <<25-8.5=16.5>>16.5 hours Total + 12.5 + 25 + 16.5 = <<+12.5+25+16.5=54>>54 hours 54 hours 60 minutes = <<54*60=3240>>3240 minutes. Bianca, Celeste and McClain worked a total of 3240 minutes last weekend. #### 3240
John is holding a poker night with his friends and is getting the decks of cards ready before his friends show up. After losing so many cards from various decks, John thinks he needs to count exactly how many cards he has to make sure he has enough full decks for the night. Each deck of cards should hold a certain number cards. He finds 3 half-full decks of cards and 3 full decks of cards. As he is arranging them, he realizes that the quality of a lot of the cards is quite poor and decides to throw 34 of the cards in the trash. How many cards does John now have?	[ { "keywords": [ "should", "hold", "cards.", "He" ], "value": "52" } ]	In the full decks, John has a total of 52 cards in a full deck of cards * 3 full decks of cards = <<523=156>>156 cards. A half-full deck of cards contains 52 cards in a full deck of cards / 2 = <<52/2=26>>26 cards. So from the half-full decks, John has a total of 26 cards 3 half-full decks = <<26*3=78>>78 cards. This is a total of 156 cards from full decks + 78 cards from half-full decks = <<156+78=234>>234 cards. After throwing some in the trash, he now holds a total of 234 cards - 34 trashed cards = <<234-34=200>>200 cards. #### 200
Federal guidelines recommend eating at least a certain number cups of vegetables per day. From breakfast on Sunday to the end of the day on Thursday, Sarah has eaten 8 cups. How many cups per day does Sarah need to eat of her vegetables in order to meet her daily minimum requirement for the week?	[ { "keywords": [ "at", "least", "cups", "of" ], "value": "2" } ]	There are 7 days in a week and 2 cups are recommended per day, bringing the total to 7 days * 2 cups/day =<<7*2=14>>14 cups for the week. Out of the 14 total cups needed for the week, Sarah has already eaten 8, for a total of 14 cups - 8 cups = <<14-8=6>>6 cups left to consume for the week. Sunday through Thursday equals 5 days that have passed. If there are 7 days in the week then Sarah has 7 days - 5 days = <<7-5=2>>2 days left of the week. If she needs to eat 6 more cups in the next 2 days then she will have to eat 6 cups / 2 days = <<6/2=3>>3 cups per day over the next two days. #### 3
John pays for a candy bar with a certain number quarters, 3 dimes, and a nickel. He got a certain number cents back in change. How many cents did the candy bar cost?	[ { "keywords": [ "He", "got", "cents", "back" ], "value": "4" }, { "keywords": [ "bar", "with", "quarters,", "3" ], "value": "4" } ]	The quarters came to 425=<<425=100>>100 cents The dimes were worth 310=<<310=30>>30 cents The nickel was 51=<<51=5>>5 cents So he paid 100+30+5=<<100+30+5=135>>135 cents Since he got 4 cents as change it cost 135-4=<<135-4=131>>131 cents #### 131
Mike can type 65 words per minute. Due to a minor accident, Mike cannot use his right hand for a while so that his typing speed is now 20 words less per minute. If he is supposed to type a document with a certain number words, how many minutes will it take him to finish typing the document?	[ { "keywords": [ "document", "with", "words,", "how" ], "value": "810" } ]	After the accident, Mike can only type 65 words/minute - 20 words/minute = <<65-20=45>>45 words/minute. So, he will be able to finish typing the document in 810 words / 45 words/minute = <<810/45=18>>18 minutes. #### 18
A cheetah can run at a top speed of a certain number mph. The gazelle can run for speeds of up to 40 miles per hour. If one mile per hour is about a certain number feet per second, then how many seconds would it take for a cheetah traveling at top speed to catch up to a fleeing gazelle also running at top speed if the two animals were initially 210 feet apart and they both traveled in the same direction?	[ { "keywords": [ "speed", "of", "mph.", "The" ], "value": "60" }, { "keywords": [ "is", "about", "feet", "per" ], "value": "1.5" } ]	60 mph is 601.5=<<601.5=90>>90 feet per second. 40 mph is 401.5=<<401.5=60>>60 feet per second. Thus, for every second, the cheetah advances on the gazelle by 90-60=<<90-60=30>>30 feet per second. To close on a distance of 200 feet, it would take the cheetah 210/30=7 seconds to catch the gazelle. #### 7
A publishing house decides to create a contest for new writers and will award a total of $800 in prizes to the a certain number novels with the most votes. First place will get $200, second place will get $150, third place $120 and the rest of the awards will be paid with the same amount of money. How much money will each writer earn from fourth place onwards?	[ { "keywords": [ "to", "the", "novels", "with" ], "value": "18" } ]	The first three cash prizes sum to $200 + $150 + $120= $<<200+150+120=470>>470 The remaining amount of cash prizes to be distributed is $800 - $470= $<<800-470=330>>330 The number of novels left to be awarded is 18 – 3= <<18-3=15>>15 novels So each writer from 4th to 18th will earn $330 / 15= $<<330/15=22>>22 #### 22
Alyssa and Abigail need to collect 100 empty cans for their Science project. As of today, Alyssa collected 30 while Abigail collected a certain number empty cans. How many more empty cans should they collect?	[ { "keywords": [ "Abigail", "collected", "empty", "cans." ], "value": "43" } ]	Alyssa and Abigail collected a total of 30 + 43 = <<30+43=73>>73 empty cans as of today. So, they still need to collect 100 - 73 = <<100-73=27>>27 more empty cans. #### 27
Santana has 7 brothers. a certain number of them have birthdays in March, a certain number of them has a birthday in October, 1 has a birthday in November, and another 2 of them were born in December. If Santana always buys each of her brothers a birthday present and a Christmas present, how many more presents does she have to buy in the second half of the year than the first half of the year?	[ { "keywords": [ "7", "brothers.", "of", "them" ], "value": "3" }, { "keywords": [ "in", "October,", "has", "a" ], "value": "1" } ]	Santana has 1 + 1 + 2 = <<1+1+2=4>>4 brothers with birthdays in the second half of the year. She has 7 brothers - 4 brothers = <<7-4=3>>3 brothers with birthdays in the first half of the year. Altogether, she has to buy 4 + 7 = <<4+7=11>>11 presents in the second half of the year. Therefore, she has to buy 11 - 3 = <<11-3=8>>8 more presents in the second half of the year. #### 8
Ivan has a certain number dice. Jerry has twice as many dice as Ivan. How many dice do they have altogether?	[ { "keywords": [ "Ivan", "has", "dice.", "Jerry" ], "value": "20" } ]	Jerry has 2 x 20 = <<2*20=40>>40 dice. Therefore, they have 20 + 40 = <<20+40=60>>60 dice altogether. #### 60
In a big box, there are marbles in 4 colors. Inside, there are a certain number red marbles. There are three times more green marbles than red. Yellow marbles make up 20% of the green marbles. How many marbles are of a different color if the total of all marbles in the box is three times more than the number of green marbles?	[ { "keywords": [ "there", "are", "red", "marbles." ], "value": "20" } ]	There are 3 * 20 = <<320=60>>60 green marbles. There are 60 20/100 = <<6020/100=12>>12 yellow marbles In total there are 3 60 = <<3*60=180>>180 marbles. That leaves 180 - 20 - 60 - 12 = <<180-20-60-12=88>>88 marbles of another color in the box. #### 88
Sandy bought a certain number million Safe Moon tokens. She has 4 siblings. She wants to keep half of them to herself and divide the remaining tokens among her siblings. After splitting it up, how many more tokens will she have than any of her siblings?	[ { "keywords": [ "Sandy", "bought", "million", "Safe" ], "value": "1" } ]	She will keep 1000000 / 2 = <<1000000/2=500000>>500000 Safe Moon tokens for herself. For the remaining siblings, they will each receive 500000 / 4 = <<500000/4=125000>>125000 tokens. This means that Sandy will have 500000 - 125000 = <<500000-125000=375000>>375000 tokens more than any of her siblings. #### 375000
Zhang is twice as old as Li. Li is 1a certain number years old. Zhang's brother Jung is 2 years older than Zhang. How old is Jung?	[ { "keywords": [ "Jung", "is", "years", "older" ], "value": "2" } ]	Zhang is 2 * 12 years old = <<2*12=24>>24 years old. Jung is 2 years + 24 years = <<2+24=26>>26 years old. #### 26
a certain number of all pies are eaten with forks. If there are a certain number pies of all kinds, how many of the pies are not eaten with forks?	[ { "keywords": [ "of", "all" ], "value": "68%" }, { "keywords": [ "there", "are", "pies", "of" ], "value": "2000" } ]	If there are 2000 pies of all kinds, and 68% of all pies are eaten with forks, there are 68/1002000= <<68/1002000=1360>>1360 pies eaten with forks. The number of pies that are not eaten with pie is 2000-1360=<<2000-1360=640>>640 #### 640
Lard decides to share a pizza with his friend Jelly. He takes a whole, uncut pepperoni pizza and cuts it in half. He then cuts these halves in half and gives one of the slices to Jelly. Assuming the pizza started with 40 evenly spread slices of pepperoni, how many slices of it are on the slice Lard gives Jelly if a certain number of them falls off the slice when Lard picks it up?	[ { "keywords": [ "Jelly", "if", "of", "them" ], "value": "1" } ]	First, we need to determine how many slices the pizza was cut into. To do this, we start by performing 12= <<12=2>>2 slices after the pizza was cut in half once. Each of these slices was cut in half again, yielding 22= <<22=4>>4 slices in total. Next, we divide the total amount of pepperoni slices by the number of pizza slices, as the pepperoni was spread evenly. We find there are 40/4= <<40/4=10>>10 slices of pepperoni per pizza slice. Since 1 slice of pepperoni fell off Jelly's slice, this means there are 10-1=<<10-1=9>>9 slices left on her slice. #### 9
Ali is collecting bottle caps. He has a certain number bottle caps. He has red ones and green ones. If he has a certain number red caps, what percentage of caps are green?	[ { "keywords": [ "he", "has", "red", "caps," ], "value": "50" }, { "keywords": [ "He", "has", "bottle", "caps." ], "value": "125" } ]	He has 75 green caps because 125 - 50 = <<125-50=75>>75 The proportion of caps that are green is .6 because 75 / 125 = <<75/125=.6>>.6 The percentage that are green is 60 because .6 x 100% = <<60=60>>60% #### 60
John ends up damaging his hearing aids. He needs to replace both of them. They cost $2500 each. Insurance covers a certain number of the cost. How much does he personally have to pay?	[ { "keywords": [ "Insurance", "covers", "of", "the" ], "value": "80%" } ]	The cost of the hearing aids is $2500 * 2 = $<<25002=5000>>5000 So insurance covers $5000 .8 = $<<5000*.8=4000>>4000 That means it cost him $5000 - $4000 = $<<5000-4000=1000>>1000 #### 1000
Maisie and Donna dropped off flyers for a neighborhood clean-up day at houses around their neighborhood. Maisie walked down the shorter left street and dropped off a certain number flyers. Donna took the long right street on her bicycle and dropped off five more than twice as many flyers as Maisie. How many flyers did Donna drop off?	[ { "keywords": [ "dropped", "off", "flyers.", "Donna" ], "value": "33" } ]	Twice as many flyers as Maisie is 33 * 2 = <<33*2=66>>66 flyers. Donna dropped off five more than that, so she dropped off 66 + 5 = <<66+5=71>>71 flyers. #### 71
Connie is trying to remember when her grandmother was born. She knows her grandmother's older brother was born in a certain number her older sister was born in a certain number and the gap between her grandmother and her sister is twice the gap between the older brother and the older sister. What year was Connie's grandma born?	[ { "keywords": [ "born", "in", "and", "the" ], "value": "1936," }, { "keywords": [ "born", "in", "her", "older" ], "value": "1932," } ]	First find the age gap between the older brother and sister by subtracting the earlier birth year from the later: 1936 - 1932 = <<1936-1932=4>>4 years Then double the age gap to find how many years passed between the sister's birth and the grandmother's: 4 years * 2 = <<4*2=8>>8 years Then add 8 years to the older sister's birth year to find the grandmother's birth year: 1936 + 8 = <<1936+8=1944>>1944 #### 1944
Kris is blowing u balloons for her sister’s party. She has 30 minutes to blow up as many balloons as possible and decides to enlist her brother’s help to increase the number of balloons. Kris can blow up a total of a certain number balloon per minute, and her brother works twice as fast. After 15 minutes, her brother doubles his speed and works at this new speed for the remaining 15 minutes. After the 30 minutes, how many balloons, in total, did Kris and her brother blow up?	[ { "keywords": [ "total", "of", "balloon", "per" ], "value": "2" } ]	Throughout the 30 minutes, Kris blows up 2 balloons per minute * 30 minutes = <<230=60>>60 balloons. Her brother works at double Kris' speed in the first 15 minutes so he works at 2 balloons per minute 2 = <<22=4>>4 balloons per minute. So in the first 15 minutes, he blows up 4 balloons per minute 15 minutes = <<415=60>>60 balloons. In the second 15 minutes, he is working at double the rate he did previously, so he blows up 4 balloons per minute 2 = <<42=8>>8 balloons per minute. In the second 15 minutes, Kris’ brother therefore blows up 8 balloons per minute 15 minutes = <<8*15=120>>120 balloons. Throughout the 30 minutes, he has blown up a total of 60 + 120 = <<60+120=180>>180 balloons. Kris and her brother therefore blew up a total of 60 balloons from Kris + 180 balloons from Kris’ brother = <<60+180=240>>240 balloons. #### 240
Mark was caught speeding and the judge wants to make an example out of him. The base fine for speeding is $50 but additional penalties apply in this case. The fine is increased by $2 for every mile per hour Mark was going over the speed limit. He was going 75 miles per hour in a a certain number mile per hour zone. The fine is also doubled because he was in a school zone. Finally, the judge makes Mark pay $300 in court costs and he also has to pay his lawyer $80/hour for three hours of work. How much does Mark owe for this speeding ticket?	[ { "keywords": [ "in", "a", "mile", "per" ], "value": "30" } ]	First figure out how many miles over the speed limit Mark was going: 75 mph - 30 mph = <<75-30=45>>45 mph Now figure out how much the per-mile fine is: $2/mph * 45 mph = $<<245=90>>90 Now add that amount to the base fine: $90 + $50 = $<<90+50=140>>140 Now double that amount for being in a school zone: $140 2 = $<<1402=280>>280 Now figure out how much Mark owes his lawyer: $80/hour 3 hours = $<<80*3=240>>240 Now add the court costs, lawyer fees and fine: $240 + $300 + $280 = $<<240+300+280=820>>820 #### 820
40% of the mosquitos in Jack's area are infected with malaria. 20% of the mosquitos are infected with Zika virus. Without a vaccine, the chances of getting infected with either virus after getting bitten by an infected mosquito are a certain number Jack is taking an experimental malaria vaccine that reduces the chances of getting infected after getting bitten by 50%. If Jack gets bitten by a random mosquito, what is the percentage chance he catches either Zika virus or malaria?	[ { "keywords": [ "mosquito", "are", "Jack", "is" ], "value": "50%." } ]	First find Jack's chances of getting bitten by an infected mosquito: 40% + 20% = 60% The chance of being infected by a mosquito with after being bitten: 60% * 50% = 30% Then find the chances of getting ill after receiving the vaccine: 30% * 50% = 15% #### 15
Harry is a professional dog-walker. He is paid to go on long walks with dogs while their families are away from home. On Monday, Wednesday, and Friday, Harry walks 7 dogs. On Tuesday, he walks 12 dogs. And on Thursday he walks a certain number dogs. He is paid $5 for each dog that he walks. How many dollars does Harry earn in a week?	[ { "keywords": [ "he", "walks", "dogs.", "He" ], "value": "9" } ]	Monday, Wednesday, and Friday, Harry walks a total of 3 * 7 = <<37=21>>21 dogs. Thus, in a week he walks 21 + 12 + 9 = <<21+12+9=42>>42 dogs. At a rate of $5 per dog, Harry ears $5 42 = $<<5*42=210>>210 per week. #### 210
If seven more rabbits are added to the thirteen in the cage, the number of rabbits in the cage will be a certain number the number of rabbits Jasper saw in the park today. How many rabbits did Jasper see in the park today?	[ { "keywords": [ "will", "be", "the", "number" ], "value": "1/3" } ]	If seven more rabbits are added to the thirteen in the cage, the total number becomes 7+13 = <<7+13=20>>20 Triple the number of rabbits in the cage is 320 = <<320=60>>60, the same as the number of rabbits that Jasper saw at the park today. #### 60
There are a certain number seagulls on the roof of the Taco Bell. Kids scare 1/4 of them away by throwing stones, and a certain number of the remaining birds decide to fly to McDonald's parking lot. How many seagulls are left?	[ { "keywords": [ "There", "are", "seagulls", "on" ], "value": "36" }, { "keywords": [ "stones,", "and", "of", "the" ], "value": "1/3" } ]	First find how many birds get scared away by kids: 36 seagulls / 4 = <<36/4=9>>9 seagulls Then subtract that number from the starting total: 36 seagulls - 9 seagulls = <<36-9=27>>27 seagulls Then divide that number by 3: 27 seagulls / 3 = <<27/3=9>>9 seagulls Then subtract that number from the 27 seagulls to find the final number of seagulls: 27 seagulls - 9 seagulls = <<27-9=18>>18 seagulls #### 18
Anne's female cat weighs a certain number kilograms. Her male cat is two times heavier. If Anne is going to carry both of them, how many kilograms is she carrying?	[ { "keywords": [ "cat", "weighs", "kilograms.", "Her" ], "value": "2" } ]	Anne's male cat weighs 2 x 2 = <<2*2=4>>4 kilograms. Thus, Anne is carrying a total of 2 + 4 = <<2+4=6>>6 kilograms when she carries both of them. #### 6
Abigail is trying a new recipe for a cold drink. It uses a certain number of a cup of iced tea and 1 and a certain number of a cup of lemonade to make one drink. If she fills a pitcher with 18 total cups of this drink, how many cups of lemonade are in the pitcher?	[ { "keywords": [ "It", "uses", "of", "a" ], "value": "1/4" }, { "keywords": [ "1", "and", "of", "a" ], "value": "1/4" } ]	Each drink uses 1.5 cups because 1/4 cup + 1 and 1/4 cup = <<1.5=1.5>>1.5 cups The pitcher contains 12 total drinks because 18 / 1.5 = <<18/1.5=12>>12 There are 15 cups of lemonade in the pitcher because 12 x 1 and 1/4 = 15 #### 15
Georgia has a certain number pieces of stationery while Lorene has three times as many pieces of stationery as Georgia. How many fewer pieces of stationery does Georgia have than Lorene?	[ { "keywords": [ "Georgia", "has", "pieces", "of" ], "value": "25" } ]	Lorene has 25 x 3 = <<25*3=75>>75 pieces of stationery. Thus, Georgia has 75 - 25 = <<75-25=50>>50 fewer pieces of stationery than Lorene. #### 50
A town is trying to clear litter from its streets. The council pays for adding a certain number trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?	[ { "keywords": [ "for", "adding", "trash", "cans" ], "value": "14" } ]	At the back of stores, the town has paid for 14 trash cans on the streets * 2 = <<14*2=28>>28 trash cans. The town has therefore added 14 trash cans on the streets + 28 trash cans at the back of stores = <<14+28=42>>42 trash cans. #### 42
Jessica has one hour to take an exam. She has answered 16 out of 80 questions. She has used a certain number minutes of her time. If she keeps up this same pace, how many minutes will be left when she finishes the exam?	[ { "keywords": [ "has", "used", "minutes", "of" ], "value": "12" } ]	She takes .75 minutes to answer a question because 12 / 16 = <<12/16=.75>>.75 It will take her 60 minutes to take the entire exam because 80 x .75 = <<80*.75=60>>60 She has 0 minutes left when she is done because 60 - 60 = <<60-60=0>>0 #### 0
A chair costs 1/7 of the cost of a table. If a table costs $1a certain number0, how much will it cost to buy a table and 4 chairs?	[ { "keywords": [ "table", "and", "chairs?" ], "value": "4" } ]	One chair costs $140 x 1/7 = $<<1401/7=20>>20. Four chairs cost $20 x 4 = $<<204=80>>80. So a table and 4 chairs cost $140 + $80 = $<<140+80=220>>220. #### 220
Alani earned $45 for a certain number hours of baby-sitting. At the same rate, for how many hours would she need to baby-sit to earn $75?	[ { "keywords": [ "$45", "for", "hours", "of" ], "value": "3" } ]	The rate is $45/3=$<<45/3=15>>15/hr. She would need to baby-sit for $75/$15=<<75/15=5>>5 hours. #### 5
A teacher teaches a certain number periods a day and works 24 days a month. He is paid $5 per period. if he has been working for a certain number months now how much has he earned in total?	[ { "keywords": [ "teacher", "teaches", "periods", "a" ], "value": "5" }, { "keywords": [ "working", "for", "months", "now" ], "value": "6" } ]	The amount paid to the teacher per day is 5 periods * $5 / period = $<<55=25>>25 per day. The amount paid for 24 days is $25 / day 24 days = $<<2524=600>>600. The total amount for 6 months is $600 6 = $<<600*6=3600>>3600. #### 3600
On her birthday, Avianna bought red candles and blue candles in the ratio of a certain number If Avianna had a certain number red candles on her birthday, how many blue candles did she have?	[ { "keywords": [ "Avianna", "had", "red", "candles" ], "value": "45" }, { "keywords": [ "ratio", "of", "If", "Avianna" ], "value": "5:3." } ]	If the ratio of red candles to blue candles Avianna bought was 5:3, then the total ratio was 5+3 = 8. If 5 represented 45 candles in the total ratio, then 8, the actual ratio, represents 8*45 = 360 divided by 5 is 360/5 = 72 candles. If the total number of candles was 72, then the number of blue candles is 72 candles - 45 candles = <<72-45=27>>27 candles #### 27
Yeon has three times as many watermelon seeds as Gwi. Gwi has 40 more watermelon seeds than Bom. If Bom has a certain number watermelon seeds, how many seeds do they have together?	[ { "keywords": [ "Bom", "has", "watermelon", "seeds," ], "value": "300" } ]	If Bom has 300 seeds, then Gwi has 300+40 = <<300+40=340>>340 watermelon seeds. Together, Bom and Gwi have 340+300 = <<340+300=640>>640 melon seeds. Yeon's number of watermelon seeds is three times as many as the number that Gwi has, meaning Yeon has 3340 = <<3340=1020>>1020 watermelon seeds. Together, the three friends have 1020+640 = <<1020+640=1660>>1660 watermelon seeds. #### 1660
Jasmine and her older sister Alexa went to the store to buy shoes. Alexa's shoes are twice as big as Jasmine's shoes. If Jasmine's shoe size is a certain number what's the combined shoe size for both of them?	[ { "keywords": [ "size", "is", "what's", "the" ], "value": "7," } ]	If Alexa's shoes are twice those of Jasmine, then her shoe size is 7 * 2 = <<7*2=14>>14 The total shoe size is 14 + 7= <<14+7=21>>21 #### 21
Vaishali has a certain number hats, each with three stripes. She also has three hats with four stripes each, six hats with no stripes, and another two hats with a certain number stripes each. What is the combined total number of stripes Vaishali has on all of her hats?	[ { "keywords": [ "hats", "with", "stripes", "each." ], "value": "5" }, { "keywords": [ "Vaishali", "has", "hats,", "each" ], "value": "4" } ]	Four hats, each with three stripes, is 43=<<43=12>>12 stripes. Three hats with four stripes each is 34=<<34=12>>12 stripes. Six hats with no stripes is 60 = <<60=0>>0 stripes. And two hats with 5 stripes each is 25=<<25=10>>10 stripes. The combined total number of stripes Vaishali has on all of her hats is 12+12+0+10=<<12+12+0+10=34>>34 stripes. #### 34
A baker has a certain number cheesecakes on the display while 15 more are still in the fridge. If the baker has sold a certain number cheesecakes from the display, how many more cheesecakes are left to be sold?	[ { "keywords": [ "baker", "has", "cheesecakes", "on" ], "value": "10" }, { "keywords": [ "has", "sold", "cheesecakes", "from" ], "value": "7" } ]	A baker has a total of 10 + 15 = <<10+15=25>>25 cheesecakes both from the display and the fridge. Therefore, there are 25 - 7 = <<25-7=18>>18 more cheesecakes to be sold. #### 18
Tina is working on her homework when she realizes she's having a hard time typing out her answers on her laptop because a lot of the keys are sticky. She is trying to get her homework done before dinner, though, so she needs to decide if she has time to clean her keyboard first. Tina knows her assignment will only take 10 minutes to complete. Dinner will be ready at 5:30 p.m. Tina decides to time how long it takes to remove and clean one key and will then multiply that time by how many keys she needs to fix. She counts a certain number keys that are sticky and times it to take 3 minutes to clean one. After Tina has cleaned one key, there are a certain number left to clean. How many minutes total will it take for Tina to both clean the remaining keys and finish her assignment?	[ { "keywords": [ "there", "are", "left", "to" ], "value": "14" }, { "keywords": [ "She", "counts", "keys", "that" ], "value": "15" } ]	Tina has already cleaned one key so she has 14 left which take 3 minutes each to clean, 14 x 3 = <<14*3=42>>42 minutes to clean all the keyboard keys. Her assignment will take 10 minutes to complete, so she needs 42 minutes + 10 minutes = 52 minutes total before dinner. #### 52
Jacob is a certain number years now. His brother Tony is half Jacob's age. In a certain number years how old will tony be?	[ { "keywords": [ "age.", "In", "years", "how" ], "value": "6" }, { "keywords": [ "Jacob", "is", "years", "now." ], "value": "24" } ]	Tony’s age now is 24 / 2 = <<24/2=12>>12 years old. In 6 years he will be 12 + 6 = <<12+6=18>>18 years old. #### 18
James buys a certain number00 lotto tickets for 2 dollars each. Of those tickets 20% are winners. 80% of the winners are for 5 dollars. 1 ticket is the grand prize of $5,000. The other tickets win an average of $10. How much did he profit?	[ { "keywords": [ "tickets", "for", "dollars", "each." ], "value": "2" } ]	He spent 2002=$<<2002=400>>400 There were 200.2=<<200.2=40>>40 tickets Of those 40.8=32 are 5 dollar winners So they win 325=$<<325=160>>160 He has 40-32=<<40-32=8>>8 other winning tickets Of those 8-1=<<8-1=7>>7 wins $10 So they win 107=$<<10*7=70>>70 So he won 5000+70+160-400=$<<5000+70+160-400=4830>>4830 #### 4830
In a community of 50 families, a certain number5 families own a certain number dogs, 20 families own 1 dog, while the remaining families own 2 cats each. How many dogs and cats are there in all?	[ { "keywords": [ "families", "own", "dog,", "while" ], "value": "1" }, { "keywords": [ "families", "own", "dogs,", "20" ], "value": "2" } ]	The 15 families own 15x2=<<152=30>>30 dogs. The 20 families own 20x1=<<201=20>>20 dogs. There are 50-15-20=<<50-15-20=15>>15 cat owners. The remaining families own 15x2=<<15*2=30>>30 cats. There are 30+20+30=<<30+20+30=80>>80 dogs and cats in the village. #### 80
Michelangelo has a certain number ceilings to paint. This week, he paints a certain number of them. Next week, he will paint 1/4 the number of ceilings he did this week. How many ceilings will be left to paint after next week?	[ { "keywords": [ "Michelangelo", "has", "ceilings", "to" ], "value": "28" }, { "keywords": [ "he", "paints", "of", "them." ], "value": "12" } ]	After this week, Michelangelo will have 28-12=<<28-12=16>>16 more ceilings to paint. Next week, Michelangelo will paint 12/4=<<12/4=3>>3 ceilings. Michelangelo will have 16-3=<<16-3=13>>13 more ceilings to paint. #### 13
Alex makes luxury dresses out of silk. Each dress needs 5 meters of silk and Alex has a certain number meters of silk in storage. His friends also want to learn how to make these dresses so Alex gives all 5 of them 20 meters of silk each. He uses the rest to make dresses himself. How many dresses can Alex make?	[ { "keywords": [ "Alex", "has", "meters", "of" ], "value": "600" } ]	Alex gives his friends a total of 5 friends * 20 meters of silk = <<5*20=100>>100 meters of silk. This means he has 600 – 100 = <<600-100=500>>500 meters of silk left in storage. He can therefore make 500 meters of silk / 5 meters of silk per dress = <<500/5=100>>100 dresses. #### 100
Tony has to run several errands in a day. He needs to drive a certain number miles to get groceries, a certain number miles to get a haircut and 5 miles to go to a doctor's appointment. How many miles will Tony have driven when he is halfway through driving around for his errands?	[ { "keywords": [ "get", "groceries,", "miles", "to" ], "value": "15" }, { "keywords": [ "to", "drive", "miles", "to" ], "value": "10" } ]	First, we need to find the total number of miles Tony will be driving by adding 10+15+5=<<10+15+5=30>>30 miles in total. To determine the halfway point, we simply divide the total number of miles by 2, performing 30/2=<<30/2=15>>15 miles driven when Tony is halfway done. #### 15
Veronica's flashlight was bright enough to be seen at night from a distance of 1000 feet. Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, and Velma's flashlight could be seen at night from a distance a certain number feet less than 5 times farther than Freddie's flashlight. If Veronica's and Velma's flashlight were placed next to one another and turned on at night, how much farther, in feet, could Velma's flashlight be seen compared to Veronica's?	[ { "keywords": [ "a", "distance", "feet", "less" ], "value": "2000" } ]	Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, for a total distance of 31000=<<31000=3000>>3000 feet. Five times farther than the distance from which Freddie's flashlight can be seen at night is 53000=<<53000=15000>>15,000 feet. Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight, for a total distance of 15,000-2,000=<<15000-2000=13000>>13,000 feet. Compared to Veronica's flashlight, Velma's flashlight could be seen for a distance of 13,000-1,000=<<13000-1000=12000>>12,000 feet farther. #### 12,000
The city’s bus system carries a certain number people each day. How many people does the bus system carry for a certain number weeks?	[ { "keywords": [ "carry", "for", "weeks?" ], "value": "13" }, { "keywords": [ "system", "carries", "people", "each" ], "value": "1,200,000" } ]	13 weeks have 13 * 7 = <<137=91>>91 days. For 91 days the bus system carries 1,200,000 91 = <<1200000*91=109200000>>109,200,000 people. #### 109,200,000
In the city, there is a block of flats. This block has 12 floors. Half of the floors have a certain number apartments and the other half have a certain number apartments. One apartment can accommodate a maximum of 4 residents. What is the maximum number of residents that can live in this block of flats?	[ { "keywords": [ "floors", "have", "apartments", "and" ], "value": "6" }, { "keywords": [ "half", "have", "apartments.", "One" ], "value": "5" } ]	Half of the floors have different numbers of apartments. Half the number of floors is 12 floors / 2 = <<12/2=6>>6 floors. One half of the block consists of 6 floors * 6 apartments/floor = <<66=36>>36 apartments. And the other half consists of 6 floors 5 apartments/floor = <<65=30>>30 apartments. There are 30 + 36 = <<30+36=66>>66 apartments on all floors in the block. All the apartments can therefore accommodate 66 apartments 4 residents/apartment = <<66*4=264>>264 residents. #### 264
A bus has a capacity of a certain number people. If it carried a certain number of its capacity on its first trip from city A to city B and 4/5 of its capacity on its return trip, calculate the total number of people the bus carried on the two trips?	[ { "keywords": [ "capacity", "of", "people.", "If" ], "value": "200" }, { "keywords": [ "it", "carried", "of", "its" ], "value": "3/4" } ]	From city A to city B, the bus carried 3/4200 = <<3/4200=150>>150 passengers On the return trip, the bus carried 4/5200 = <<4/5200=160>>160 passengers In total, the bus carried 160+150 = <<160+150=310>>310 passengers. #### 310
Quinton brought 40 cupcakes to school on his birthday. He gave a cupcake to each of the a certain number students in Ms. Delmont's class. He also gave a cupcake to each of the a certain number students in Mrs. Donnelly's class. He also gave a cupcake to Ms. Delmont, Mrs. Donnelly, the school nurse, and the school principal. How many cupcakes did he have left over?	[ { "keywords": [ "of", "the", "students", "in" ], "value": "18" }, { "keywords": [ "each", "of", "the", "students", "in" ], "value": "16" } ]	Quinton had 40 cupcakes - 18 = <<40-18=22>>22 cupcakes. He then had 22 cupcakes - 16 students = <<22-16=6>>6 cupcakes. Quinton then gave away 6 - 1 -1 -1 -1 = <<6-1-1-1-1=2>>2 cupcakes left. #### 2
The school band has 30 songs in their repertoire. The band played a certain number songs in their first set and 7 in their second set. The band will play a certain number songs for their encore. Assuming the band plays through their entire repertoire, how many songs will they play on average in the third and fourth sets?	[ { "keywords": [ "band", "played", "songs", "in" ], "value": "5" }, { "keywords": [ "will", "play", "songs", "for" ], "value": "2" } ]	The band played 5 + 7 = <<5+7=12>>12 songs in their first two sets. They have 30 - 12 = <<30-12=18>>18 songs left for the third set, fourth set and encore. Since they played 2 songs in the encore, they have 18 - 2 = <<18-2=16>>16 songs to play on the third and fourth sets They will play 16 / 2 = <<16/2=8>>8 songs on average over the third and fourth sets. #### 8
Some students want to buy pencils from a stationery shop. The price of one pencil is a certain number0 cents. Tolu wants 3 pencils, Robert wants a certain number pencils and Melissa wants 2 pencils. How much (in dollars) will the students spend altogether at the stationery shop?	[ { "keywords": [ "Robert", "wants", "pencils", "and" ], "value": "5" }, { "keywords": [ "Melissa", "wants", "pencils.", "How" ], "value": "2" } ]	The three students want a total of 3+2+5 = <<3+2+5=10>>10 pencils Each pencil cost 20 cents so 10 pencils cost 2010 = <<2010=200>>200 cents 100 cents make a dollar so 200 cents make 200/100 = <<200/100=2>>2 dollars #### 2

There are a certain number green leaves on each of the 3 tea leaf plants. One-third of them turn yellow and fall off on each of the tea leaf plants. How many green leaves are left on the tea leaf plants?

[ { "keywords": [ "There", "are", "green", "leaves" ], "value": "18" } ]

In total, the 3 tea leaf plants have 18 x 3 = <<18*3=54>>54 green leaves. One-third of the yellow leaves falling off of all plants is 54 / 3 = <<54/3=18>>18. The number of remaining green leaves on the plants is 54 - 18 = <<54-18=36>>36. #### 36

John received a certain number gifts on his 12th birthday. He received 8 fewer gifts on his a certain number birthday. How many total gifts did he receive between those two birthdays?

[ { "keywords": [ "John", "received", "gifts", "on" ], "value": "20" }, { "keywords": [ "on", "his", "birthday.", "How" ], "value": "13th" } ]

He got 20-8=12 gifts on his 13th birthday So he got 20+12=<<20+12=32>>32 total gifts #### 32

Tom decides to renovate a house. There are a certain number bedrooms and each bedroom takes a certain number hours to renovate. The kitchen takes 50% longer than each bedroom. The living room took twice as much time as everything else combined. How long did everything take?

[ { "keywords": [ "bedroom", "takes", "hours", "to" ], "value": "4" }, { "keywords": [ "There", "are", "bedrooms", "and" ], "value": "3" } ]

The kitchen took 4 * .5 = <<4*.5=2>>2 hours longer than the bedrooms So the kitchen took 4 + 2 = <<4+2=6>>6 hours The bedrooms took 3 * 4 = <<3*4=12>>12 hours So the kitchen and bedrooms combined took 12 + 6 = <<12+6=18>>18 hours The living room took 18 * 2 = <<18*2=36>>36 hours So everything took a total of 18 + 36 = <<18+36=54>>54 hours #### 54

Gary manages two Amazon distribution centers. The first center processes 10000 packages per day, and the second center processes three times that volume. If Amazon makes a certain number cents of profit per package, how much profit per week do the two centers make combined?

[ { "keywords": [ "Amazon", "makes", "cents", "of" ], "value": "5" } ]

First find how many packages the second center processes per day: 10000 packages/day * 3 = <<10000*3=30000>>30000 packages/day Then add the packages the first center processes: 30000 packages/day + 10000 packages/day = <<30000+10000=40000>>40000 packages/day Then multiply the number of packages by Amazon's profit per package to find Amazon's daily profit: 40000 packages/day * $0.05/package = $2000/day Then multiply the daily profits by the number of days in a week to find the weekly profits: $2000/day * 7 days/week = $<<2000*7=14000>>14000/week #### 14000

In his company, Kenzo has 80 office chairs with five legs each and a certain number round tables with three legs each. If after a month a certain number of the chairs are damaged and have to be disposed of, calculate the total number of legs of furniture Kenzo has remaining in his company.

[ { "keywords": [ "a", "month", "of", "the" ], "value": "40%" }, { "keywords": [ "each", "and", "round", "tables" ], "value": "20" } ]

The number of chairs that are disposed of after they're found to be damaged is 40/100*80 = <<40/100*80=32>>32. The number of chairs in good condition in Kenzo's company is 80-32 = <<80-32=48>>48 The 48 chairs have 48*5 = <<48*5=240>>240 legs. The round tables also have 20*3 = <<20*3=60>>60 legs. In total, the furniture in Kenzo's company has 60+240 = <<60+240=300>>300 legs. #### 300

Arlene hiked 24 miles on Saturday, carrying a a certain number-pound backpack. She is exactly 5 feet tall. She spent 6 hours hiking. The temperature during the day was 60 degrees Fahrenheit. What was Arlene's average hiking pace, in miles per hour?

[ { "keywords": [ "day", "was", "degrees", "Fahrenheit." ], "value": "60" } ]

She hiked 24 miles. She spent 6 hours hiking. Her average pace was 24/6=<<24/6=4>>4 mph. #### 4

James paves a new parking lot. It is 400 feet by 500 feet. Only 80% of that is useable for parking. It takes a certain number square feet to park a car. How many cars can be parked?

[ { "keywords": [ "It", "takes", "square", "feet" ], "value": "10" } ]

The parking lot is 400*500=<<400*500=200000>>200,000 There are 200,000*.8=<<200000*.8=160000>>160,000 square feet of parking space That means he can park 16,0000/10=16000 cars #### 16000

Emma buys a certain number containers of milk every school day for lunch. She does not go to school on the weekends. How many containers of milk does she buy in a certain number weeks?

[ { "keywords": [ "buy", "in", "weeks?" ], "value": "3" }, { "keywords": [ "Emma", "buys", "containers", "of" ], "value": "2" } ]

There are 5 school days in a week: 5 days/week x 2 containers of milk/day = 10 containers of milk every week Finally the number of container for 3 weeks is 3 weeks x 10 containers/week = <<3*10=30>>30 containers #### 30

If 24 out of every 60 individuals like football and out of those that like it, a certain number play it, how many people would you expect play football out of a group of a certain number

[ { "keywords": [ "group", "of" ], "value": "250?" }, { "keywords": [ "like", "it,", "play", "it," ], "value": "50%" } ]

If 50% of individuals that like football play it, and there are 24 out of 60 individuals that like it, then 24*50% = 12 out of 60 individuals play it If 12 individuals play it out of 60 individuals then that means only 12/60 = 1/5 or 20% play it If 20% of individuals play football out of a group of 250 people, one would expect 250*20% = <<250*20*.01=50>>50 individuals to play it #### 50

Jacob has half the number of shoes Edward has. Edward has a certain number times the number of shoes Brian has. If Brian has a certain number pairs of shoes, how many pairs of shoes do they have in total?

[ { "keywords": [ "Brian", "has", "pairs", "of" ], "value": "22" }, { "keywords": [ "Edward", "has", "times", "the" ], "value": "3" } ]

Edward has 3 * 22 = <<3*22=66>>66 pairs of shoes. Jacob has 66 / 2 = <<66/2=33>>33 pairs of shoes. All of them have 22 + 66 + 33 = <<22+66+33=121>>121 pairs of shoes in total. #### 121

Roberto recently received a a certain number raise from his previous salary, which was already a certain number higher than his starting salary. If Roberto's starting salary was $80,000, what is his current salary?

[ { "keywords": [ "received", "a", "raise", "from" ], "value": "20%" }, { "keywords": [ "was", "already", "higher", "than" ], "value": "40%" } ]

Roberto has received 2 raises. On his first raise he received a 40% bump, therefore his new salary was $80,000 * 140% = $<<80000*140*.01=112000>>112,000 On his second raise, Roberto received a 20% bump, therefore his current salary is $112,000 * 120% = $<<112000*120*.01=134400>>134,400 #### 134400

Andy harvests all the tomatoes from 18 plants that have a certain number tomatoes each. If he dries half the tomatoes and turns a third of the remainder into marinara sauce, how many tomatoes are left?

[ { "keywords": [ "that", "have", "tomatoes", "each." ], "value": "7" } ]

First find the total number of tomatoes harvested: 18 plants * 7 tomatoes/plant = <<18*7=126>>126 tomatoes Then divide that number by 2 to find how many tomatoes are left undried: 126 tomatoes / 2 = <<126/2=63>>63 tomatoes Then divide that number by 3 to find how many tomatoes are turned into sauce: 63 tomatoes / 3 = <<63/3=21>>21 tomatoes Then subtract that number from the number of undried tomatoes to find the remaining number of tomatoes: 63 tomatoes - 21 tomatoes = <<63-21=42>>42 tomatoes #### 42

Jack is on the phone with a scammer who says the IRS will arrest Jack if he doesn't send them the codes from 6 $500 Best Buy gift cards and 9 $a certain number00 Walmart gift cards. After sending the codes for a certain number Best Buy gift card and 2 Walmart gift cards, Jack wises up and hangs up. How many dollars' worth of gift cards can he still return?

[ { "keywords": [ "card", "and", "Walmart", "gift" ], "value": "2" }, { "keywords": [ "codes", "for", "Best", "Buy" ], "value": "1" } ]

First find the number of Best Buy gift cards Jack needs to return: 6 cards - 1 cards = <<6-1=5>>5 cards Then multiply that number by the cost per card to find the total refund Jack gets from Best Buy: 5 cards * $500/card = $<<5*500=2500>>2500 Then find the number of Walmart gift cards Jack needs to return: 9 cards - 2 cards = <<9-2=7>>7 cards Then multiply that number by the cost per card to find the total refund Jack gets from Walmart: 7 cards * $200/card = $<<7*200=1400>>1400 Then add the two refunds to find his total refund amount: $2500 + $1400 = $<<2500+1400=3900>>3900 #### 3900

Luna's monthly food budget is equal to 60% of her house rental budget while her phone bill budget is a certain number of her food budget. If the total budget of house rental and food budget is $240, how much is Luna's total monthly budget to pay all those expenses?

[ { "keywords": [ "budget", "is", "of", "her" ], "value": "10%" } ]

Let x be Luna's house rental budget. The total budget for house and food rental is represented by the equation x + (60x/100) = 240. The equation becomes 100x + 60x = 24000 after multiplying each term by 100 to get rid of the fraction. By combining like terms, the equation becomes 160x = 24000. Thus, the value of x is 24000/160 = <<24000/160=150>>150 which represents the house rental budget. So, Luna's food budget is $240 - $150 = $<<240-150=90>>90. Her phone bill budget is $90 x 10/100 = $<<90*10/100=9>>9. Therefore, Luna's monthly budget for all those expenses is $240 (house and food) + $9 (phone) = $<<240+9=249>>249. #### 249

The student council sells scented erasers in the morning before school starts to help raise money for school dances. The local bookstore donated a certain number boxes of erasers. There are 24 erasers in each box. If the student council sells the erasers for $0.75 each, how much money will they make?

[ { "keywords": [ "bookstore", "donated", "boxes", "of" ], "value": "48" } ]

There are 48 boxes x 24 erasers = <<48*24=1152>>1,152 erasers. The student council will make 1,152 erasers x $0.75 = $<<1152*0.75=864>>864. #### 864

Betty is a certain number years old, and she is the oldest person in the family. Her daughter is 40 percent younger than she is, and her granddaughter is one-third her mother's age. How old is the granddaughter?

[ { "keywords": [ "Betty", "is", "years", "old," ], "value": "60" } ]

Betty's daughter is 40/100 * 60 = <<40/100*60=24>>24 years younger than she is. That means her daughter is 60 - 24 = <<60-24=36>>36 years old. So the granddaughter is 1/3 * 36 = <<1/3*36=12>>12 years old. #### 12

Joy fosters dogs. The mom foster dog eats 1.5 cups of food, three times a day. The puppies each eat a certain number cup of food, twice a day. There are 5 puppies. How much food will Joy need for the next 6 days?

[ { "keywords": [ "each", "eat", "cup", "of" ], "value": "1/2" } ]

The mom dog eats 1.5 cups of food * 3 = <<1.5*3=4.5>>4.5 cups per day. For 6 days the mom dog will need 6 * 4.5 cups = <<6*4.5=27>>27 cups of food. The puppies eat 1/2 cup of food * 2 = <<1/2*2=1>>1 cup per day. There are 5 puppies * 1 cup = <<5*1=5>>5 cups per day for the puppies. For the 6 days, the puppies will need 5 cups * 6 = <<5*6=30>>30 cups of food. Combined the dogs will need 27 cups + 30 cups = <<27+30=57>>57 cups. #### 57

There are 84 people waiting in line to ride a roller coaster at an amusement park. The roller coaster has 7 cars, and each car seats a certain number people. How many times will the ride operator have to run the roller coaster to give everyone in line a turn?

[ { "keywords": [ "car", "seats", "people.", "How" ], "value": "2" } ]

Each run will hold 7 * 2 = <<7*2=14>>14 people. The ride will have to run 84 / 14 = <<84/14=6>>6 times. #### 6

Rodney has a certain number dollars more than Ian. Ian has half as much money as Jessica has. If Jessica has a certain number dollars, how much more money does Jessica have than Rodney?

[ { "keywords": [ "Jessica", "has", "dollars,", "how" ], "value": "100" }, { "keywords": [ "Rodney", "has", "dollars", "more" ], "value": "35" } ]

Ian has 100/2 = <<100/2=50>>50 dollars. Rodney has 50+35 = <<50+35=85>>85 dollars. Jessica has 100-85 = <<100-85=15>>15 more dollars than Rodney. #### 15

Tracy, Michelle, and Kati take a road trip that is a total of 1000 miles. Tracy drives 20 miles more than twice Michelle, and Michelle drives a certain number times the amount that Katie drives. How many miles does Michelle drive?

[ { "keywords": [ "Michelle", "drives", "times", "the" ], "value": "3" } ]

Let x represent the number of miles Kati drives Michelle:3x Tracy:20+2(3x)=20+6x Total:x+3x+20+6x=1000 10x+20=1000 10x=980 x=<<98=98>>98 miles 3(98)=<<3*98=294>>294 miles #### 294

Dale owns a certain number sports cars. The red one can travel at twice the speed of the green one, but the green one can travel at 8 times the speed of the blue one. The yellow one is broken and cannot move at all. If the blue one can travel at a speed of a certain number miles per hour, at what speed, in miles per hour, can the red car travel?

[ { "keywords": [ "speed", "of", "miles", "per" ], "value": "80" }, { "keywords": [ "Dale", "owns", "sports", "cars." ], "value": "4" } ]

If the blue car can travel at 80 mph, then the green one can travel at 8*80=<<8*80=640>>640 mph If the green car can travel at 640 mph, then the red can travel at 2*640=1280 mph #### 1280

John pays for half the cost of raising a child. It cost $10,000 a year for the first a certain number years and then twice that much per year until the child is 18. University tuition then costs $250,000. How much did it cost?

[ { "keywords": [ "the", "first", "years", "and" ], "value": "8" } ]

The first 8 years cost 8*10,000=$<<8*10000=80000>>80,000 The next 18-8=<<18-8=10>>10 years They cost 10000*2=$<<10000*2=20000>>20,000 per year So they cost 20,000*10=$<<20000*10=200000>>200,000 So the cost was 200,000+80,000=$<<200000+80000=280000>>280,000 Adding in the cost of tuition brings the cost to 250,000+280,000=$<<250000+280000=530000>>530,000 Since John pays for half the cost of raising the child, he pays $530000/2 = <<530000/2=265000>>265000 #### 265000

At a gym, the blue weights are 2 pounds each, and the green weights are 3 pounds each. Harry put a certain number blue weights and 5 green weights onto a metal bar. The bar itself weighs 2 pounds. What is the total amount of weight, in pounds, of Harry's custom creation?

[ { "keywords": [ "Harry", "put", "blue", "weights" ], "value": "4" } ]

The blue weights weigh 4*2=<<4*2=8>>8 pounds The green weights weigh 5*3=<<5*3=15>>15 pounds The weights weigh 8+15=<<8+15=23>>23 pounds. The total is then 23+2=<<23+2=25>>25. #### 25

Cindy tosses 5 dimes into the wishing pond. Eric flips 3 quarters into the pond. Garrick throws in a certain number nickels. Ivy then drops a certain number pennies in. If Eric dips his hands into the water and pulls out a quarter, how much money, in cents, did they put into the pond?

[ { "keywords": [ "then", "drops", "pennies", "in." ], "value": "60" }, { "keywords": [ "throws", "in", "nickels.", "Ivy" ], "value": "8" } ]

Cindy puts in 10 cents x 5 = <<10*5=50>>50 cents. Eric puts in 3 x 25 cents = <<3*25=75>>75 cents. Garrick puts in 8 x 5 cents = <<8*5=40>>40 cents. Ivy puts in 60 x 1 cent = <<60*1=60>>60 cents. After Eric pulls out a quarter, he has still left in the pond, 75 - 25 = <<75-25=50>>50 cents. Together, they put into the pond, this amount of money, 50 + 50 + 40 + 60 = <<50+50+40+60=200>>200 cents #### 200

Anthony and his friend Leonel read about the importance of keeping pets at home and decided to start adopting cats and dogs from the local rescue center. Anthony has a certain number cats and dogs, a certain number of which are cats. Leonel has half times as many cats as Anthony and seven more dogs than Anthony. How many animals in total do the two have?

[ { "keywords": [ "Anthony", "has", "cats", "and" ], "value": "12" }, { "keywords": [ "and", "dogs,", "of", "which" ], "value": "2/3" } ]

If Anthony has 12 pets, the number of cats is 2/3 * 12 pets = <<12*2/3=8>>8 cats The number of dogs that Anthony have is 12 pets - 8 cats = <<12-8=4>>4 dogs Leonel has 1/2 * 8 cats = <<8*1/2=4>>4 cats. If Leonel has seven more dogs than Anthony, then he has 4 dogs + 7 dogs = <<7+4=11>>11 dogs The total number of pets the two have is 11 dogs for Leonel + 4 cats for Leonel + 4 dogs for Anthony + 8 cats for Anthony = <<11+4+4+8=27>>27 #### 27

Steve wanted to make a total of $100 within four days, so he took on a berry-picking job in Sweden. The job paid $2 for every pound of lingonberries picked. On Monday he picked a certain number pounds. Tuesday’s harvest was triple what he had picked the previous day. On Wednesday he felt very tired and decided to rest. How many pounds of lingonberries did Steve have to pick on Thursday?

[ { "keywords": [ "he", "picked", "pounds.", "Tuesday’s" ], "value": "8" } ]

On Monday, Steve was paid 8 * 2 = <<8*2=16>>16 dollars Tuesday’s harvest was 3 * 8 = <<3*8=24>>24 pounds The 24 pounds Steve picked on Tuesday gave him 24 * 2 = <<24*2=48>>48 dollars So, the amount Steve earned from the first two days on the job is 16 +48 = <<16+48=64>>64 dollars Since Steve rested on Wednesday, he made 0 dollars, meaning his earnings were 64 + 0 = <<64+0=64>>64 dollars The difference between Steve’s earnings and his target is 100 - 64 = <<100-64=36>>36 dollars Since he was paid 2 dollars for each pound of lingonberries, Steve needed to pick 36/2 = <<36/2=18>>18 pounds #### 18

Bert was able to sell a certain number toy phones for $18 each, while Tory was able to sell a certain number toy guns for $20 each. How much more did Bert earn than Tory?

[ { "keywords": [ "to", "sell", "toy", "guns" ], "value": "7" }, { "keywords": [ "to", "sell", "toy", "phones" ], "value": "8" } ]

Bert was able to earn 8 x $18 = $<<8*18=144>>144 for the toy phones. While Tory was able to earn 7 x $20 = $<<7*20=140>>140 for the toy guns. Therefore, Bert was able to earn $144 – $140 = $<<144-140=4>>4 more than Tory. #### 4

Pauline will make tacos for dinner. She bought a box of taco shells that cost $5, a certain number bell peppers that cost $1.5 each, and a certain number pounds of meat that cost $3 per pound. How much did she spend in all?

[ { "keywords": [ "cost", "$5,", "bell", "peppers" ], "value": "4" }, { "keywords": [ "each,", "and", "pounds", "of" ], "value": "2" } ]

She spent 4 x $1.5 = $<<4*1.5=6>>6 for the four bell peppers. She spent 2 x $3 = $<<2*3=6>>6 for the 2 pounds of meat. So, Pauline spent $5 + $6 + $6 = $<<5+6+6=17>>17 in all. #### 17

A package of candy has 3 servings with a certain number calories each. John eats half the package. How many calories did he eat?

[ { "keywords": [ "servings", "with", "calories", "each." ], "value": "120" } ]

There were 3*120=<<3*120=360>>360 calories in the package So he ate 360/2=<<360/2=180>>180 calories #### 180

Diane bought twenty more apples than Cecile. If Cecile bought a certain number apples, how many apples did they buy altogether?

[ { "keywords": [ "Cecile", "bought", "apples,", "how" ], "value": "15" } ]

Diane bought 15 + 20 = <<15+20=35>>35 apples. Therefore, they bought 15 + 35 = <<15+35=50>>50 apples altogether. #### 50

At a roller derby, a certain number teams are competing. Each team is made up of 10 members, and each member needs a pair of roller skates to compete in and another pair of skates as a backup. None of the skates have laces yet, so each member is offered a certain number sets of laces per pair of skates. How many sets of laces have been handed out?

[ { "keywords": [ "roller", "derby,", "teams", "are" ], "value": "4" }, { "keywords": [ "is", "offered", "sets", "of" ], "value": "3" } ]

There are a total of 4 teams * 10 members per team = <<4*10=40>>40 team members. Each person receives 1 pair of competing roller skates + 1 pair of backup roller skates = <<1+1=2>>2 pairs of roller skates. So there are a total of 40 team members * 2 pairs of roller skates per team member = <<40*2=80>>80 roller skates. There were therefore 80 roller skates * 3 sets of laces per pair of roller skates = <<80*3=240>>240 sets of laces handed out. #### 240

Bucky earns money each weekend catching and selling fish. He wants to save up for a new video game, which costs $60. Last weekend he earned $35. He can earn $5 from trout and $4 from blue-gill. He caught five fish this Sunday. If a certain number were trout, and the rest were blue-gill, how much more does he need to save before he can buy the game?

[ { "keywords": [ "Sunday.", "If", "were", "trout," ], "value": "60%" } ]

He is $25 short for the game because 60 - 35 = <<60-35=25>>25 He caught 3 trout because 5 x .6 = <<5*.6=3>>3 He caught 2 blue-gill because 5 - 3 = <<5-3=2>>2 He earned $15 from the trout because 3 x 5 = <<3*5=15>>15 He earned $8 from the blue-gill because 2 x 4 = <<2*4=8>>8 He earned $23 total because 15 + 8 = <<15+8=23>>23 He is $2 short because 25 - 23 = <<25-23=2>>2 #### 2

Rylee is bored and decides to count the number of leaves falling off the tree in her backyard. a certain number leaves fall in the first hour. For the second and third hour, the leaves fall at a rate of a certain number per hour. What is the average number of leaves which fell per hour?

[ { "keywords": [ "rate", "of", "per", "hour." ], "value": "4" }, { "keywords": [ "her", "backyard.", "leaves", "fall" ], "value": "7" } ]

7 leaves fell in the first hour. 4 leaves fell in the second hour. 4 leaves fell in the third hour. The total number of leaves that fell during the 3 hours is 7 + 4 + 4 = <<7+4+4=15>>15 leaves. The average number of leaves that fell per hour is 15 leaves / 3 hours = <<15/3=5>>5 leaves per hour. #### 5

Libby is building an igloo in her backyard using bricks of snow. She builds her igloo in rows, using a total of a certain number rows of bricks of snow. The bottom half of the igloo has 12 bricks of snow in each row while the top half of the igloo has a certain number bricks of snow in each row. How many bricks of snow did Libby use for her igloo?

[ { "keywords": [ "total", "of", "rows", "of" ], "value": "10" }, { "keywords": [ "igloo", "has", "bricks", "of" ], "value": "8" } ]

In the bottom half of the igloo, there are 10 rows / 2 = <<10/2=5>>5 rows of bricks of snow. So in the bottom half of the igloo, there are 5 rows * 12 bricks of snow in each row = <<5*12=60>>60 bricks of snow. In the top half of the igloo, there are 5 rows * 8 bricks of snow in each row = <<5*8=40>>40 bricks of snow. There is therefore a total of 60 + 40 = <<60+40=100>>100 bricks of snow in the igloo. #### 100

In ten years, I'll be twice my brother's age. The sum of our ages will then be a certain number years old. How old am I now?

[ { "keywords": [ "then", "be", "years", "old." ], "value": "45" } ]

Let X be my age now. In ten years, I'll be X+<<+10=10>>10 years old. In ten years, my brother will be (X+10)*1/2 years old. In ten years, (X+10) + (X+10)*1/2 = 45. So (X+10)*3/2 = 45. X+10 = 45 * 2/3 = 30. X = 30 - 10 = <<30-10=20>>20 years old. #### 20

Haruto has tomato plants in his backyard. This year the plants grew a certain number tomatoes. Birds had eaten a certain number of the tomatoes. He picked the rest. If Haruto gave half of his tomatoes to his friend, how many tomatoes does he have left?

[ { "keywords": [ "plants", "grew", "tomatoes.", "Birds" ], "value": "127" }, { "keywords": [ "had", "eaten", "of", "the" ], "value": "19" } ]

After the birds ate 19 of the tomatoes Haruto has 127 - 19 = <<127-19=108>>108 tomatoes left. After giving half of his tomatoes to his friend, Haruto had 108 / 2 = <<108/2=54>>54 tomatoes. #### 54

When it rains, the three holes in the garage roof leak water at different rates. The largest hole leaks at a rate of a certain number ounces of water per minute. The medium-sized hole leaks water at one-half the rate of the largest hole. And the smallest hole leaks water at a rate of one-third the rate of the medium-sized hole. When it rains, what is the combined amount of water, in ounces, that leak from all three holes over a a certain number time period?

[ { "keywords": [ "over", "a", "time", "period?" ], "value": "2-hour" }, { "keywords": [ "rate", "of", "ounces", "of" ], "value": "3" } ]

The medium-sized hole leaks at a rate of one-half that of the largest hole, or 3/2=<<3/2=1.5>>1.5 ounces per minute. The small-sized hole leaks at a rate of one-third that of the medium-sized hole, or 1.5/3=<<1.5/3=0.5>>0.5 ounces per minute. Combined, the three holes leak at a rate of 3+1.5+0.5=<<3+1.5+0.5=5>>5 ounces per minute. Since one hour is 60 minutes, two hours is 2*60=<<2*60=120>>120 minutes. In total, over the two hours, the three holes will leak a combined 120*5=<<120*5=600>>600 ounces of water. #### 600

Maddy's a certain number grade class needs to make 1000 Valentine's Day cards to get a pizza party. There are a certain number kids in the class. If everyone makes 8, how many more cards will they need to make to get a pizza party?

[ { "keywords": [ "Maddy's", "grade", "class" ], "value": "4th" }, { "keywords": [ "There", "are", "kids", "in" ], "value": "30" } ]

If 30 kids each make 8 cards, they will have made 240 cards because 30*8 = <<30*8=240>>240. Since 1000-240 = <<1000-240=760>>760, they need to make 760 more cards. #### 760

Harvey and his friend Sam decided to run a footrace in their school track field to see who was better at running. While at it, Harvey runs a certain number miles more than his friend Sam, who runs a total of a certain number miles. Calculate the total number of miles the two friends run together.

[ { "keywords": [ "Harvey", "runs", "miles", "more" ], "value": "8" }, { "keywords": [ "total", "of", "miles.", "Calculate" ], "value": "12" } ]

If Harvey ran 8 more miles, then he ran a total of 12 miles + 8 miles = <<12+8=20>>20 miles. The two friends ran a total of 20 miles + 12 miles = <<20+12=32>>32 miles #### 32

Jeff spends three times as many hours on the weekend catching up with his Facebook pals as he does working. Monday through Friday, however, he spends four times as many hours working as he does catching up. If he spends a certain number hours every day catching up, how many hours does he spend working in an entire week?

[ { "keywords": [ "he", "spends", "hours", "every" ], "value": "3" } ]

On the weekend, Jeff works 3 / 3 = <<3/3=1>>1 hour each day. On the weekdays, he spends 4 * 3 = <<4*3=12>>12 hours working each day. Thus, he spends 2 * 1 + 5 * 12 = <<2*1+5*12=62>>62 hours working each week. #### 62

John worked 8 hours a day every day from the a certain number to the 8th, including the 3rd and not including the 8th. How many hours did he work?

[ { "keywords": [ "from", "the", "to", "the" ], "value": "3rd" } ]

He worked for 8-3=<<8-3=5>>5 days So he worked for 5*8=<<5*8=40>>40 hours #### 40

A library has a certain number rectangular tables and the remaining tables will be square tables. A rectangular table seats 10 pupils while a square table seats 4 pupils. How many square tables are needed so that a certain number pupils can read at the same time?

[ { "keywords": [ "so", "that", "pupils", "can" ], "value": "90" }, { "keywords": [ "library", "has", "rectangular", "tables" ], "value": "7" } ]

The rectangular tables seat 7*10=<<7*10=70>>70 pupils. The square tables will seat 90-70=<<90-70=20>>20 pupils. The library needs 20/4=<<20/4=5>>5 square tables. #### 5

Makenna is selling candy for her Softball Team. The box contains a certain number milk chocolate bars, 25 dark chocolate bars, 25 milk chocolate with almond bars, and 25 white chocolate bars. What is the percentage of each type of chocolate bar?

[ { "keywords": [ "box", "contains", "milk", "chocolate" ], "value": "25" } ]

Since there are four types of chocolate bars and each type has 25 bars, the total number of chocolate bars is 25*4=<<25*4=100>>100. Since there is a total of 100 chocolate bars and four types of chocolate, we divide 100/4=<<100/4=25>>25%. #### 25

To make a cherry pie, Veronica needs a certain number pounds of pitted cherries. There are 80 single cherries in one pound of cherries. It takes 10 minutes to pit a certain number cherries. How many hours will it take Veronica to pit all the cherries?

[ { "keywords": [ "to", "pit", "cherries.", "How" ], "value": "20" }, { "keywords": [ "Veronica", "needs", "pounds", "of" ], "value": "3" } ]

There are 80 cherries in a pound and she needs 3 pounds to make a pie so she needs 80*3 = <<80*3=240>>240 cherries It takes her 10 minutes to pit a unit of 20 cherries. She has 240/20 = <<240/20=12>>12 units of cherries to pit It takes 10 minutes to pit a unit of cherries and she has 12 units so it will take her 10*12 = <<10*12=120>>120 minutes 60 minutes are in 1 hour and it takes her 120 minutes so that’s 120/60 = <<120/60=2>>2 hours #### 2

John uses 5 liters of fuel per km to travel. How many liters of fuel should John plan to use if he plans to travel on two trips of a certain number km and 20 km?

[ { "keywords": [ "trips", "of", "km", "and" ], "value": "30" } ]

The first trip will use 30*5=<<30*5=150>>150 liters of fuel. The second trip will use 20*5=<<20*5=100>>100 liters of fuel. The total liters of fuel are 150+100=<<150+100=250>>250 liters. #### 250

A big snowstorm caused a large amount of snow to fall onto Grandpa's farm, and the wind caused the snow to pile up into a drift. But on the second day, it warmed up enough that half of the snowdrift melted. The third day, it snowed again, adding another 6 inches of snow onto the snowdrift. On the fourth day, another a certain number inches of snow fell onto the snowdrift. If the snowdrift was a certain number inches deep at the end of the fourth day, how deep in inches was the drift at the end of the first day?

[ { "keywords": [ "day,", "another", "inches", "of" ], "value": "18" }, { "keywords": [ "snowdrift", "was", "inches", "deep" ], "value": "34" } ]

The third and fourth day contributed 6+18=<<6+18=24>>24 inches to the depth of the snowdrift. Therefore, the size of the snowdrift after half was melted on the second day, but before the snowfall on the third and fourth day, was 34-24=<<34-24=10>>10 inches. If the size of the drift on the second day, after half of the snow had melted, was 10 inches, then the depth of the original drift created on day 1 was 2*10=20 inches deep. #### 20

Ed and Jacob already had a certain number shells in their shell collection. Then they went to the beach to collect even more. Ed found 7 limpet shells, a certain number oyster shells, and 4 conch shells. Jacob found 2 more shells than Ed did. How many shells do the pair have altogether?

[ { "keywords": [ "Jacob", "found", "more", "shells" ], "value": "2" }, { "keywords": [ "already", "had", "shells", "in" ], "value": "2" } ]

Ed found 7 shells + 2 shells + 4 shells = <<7+2+4=13>>13 shells at the beach. Jacob found 13 shells + 2 shells = <<13+2=15>>15 shells at the beach. In total Ed and Jacob have 2 shells + 13 shells + 15 shells = <<2+13+15=30>>30 shells. #### 30

Dawn, Lydia, and Donna have a total of a certain number bananas. Dawn has a certain number more bananas than Lydia. If Lydia has 60 bananas, how many bananas does Donna have?

[ { "keywords": [ "total", "of", "bananas.", "Dawn" ], "value": "200" }, { "keywords": [ "Dawn", "has", "more", "bananas" ], "value": "40" } ]

If Lydia has 60 bananas, and Dawn has 40 more, then Dawn has 60+40 = <<60+40=100>>100 bananas. The total number of bananas Dawn and Lydia have is 100+60 = <<100+60=160>>160 bananas. Donna has 200-160 = <<200-160=40>>40 bananas. #### 40

Bianca worked for a certain number hours last weekend. Celeste worked for twice that amount of time and McClain worked 8.5 hours less than Celeste. How many minutes did the a certain number people work in total?

[ { "keywords": [ "did", "the", "people", "work" ], "value": "3" }, { "keywords": [ "worked", "for", "hours", "last" ], "value": "12.5" } ]

Bianca = <<12.5=12.5>>12.5 hours Celeste 2 * 12.5 = <<2*12.5=25>>25 hours McClain = 25 - 8.5 = <<25-8.5=16.5>>16.5 hours Total + 12.5 + 25 + 16.5 = <<+12.5+25+16.5=54>>54 hours 54 hours * 60 minutes = <<54*60=3240>>3240 minutes. Bianca, Celeste and McClain worked a total of 3240 minutes last weekend. #### 3240

John is holding a poker night with his friends and is getting the decks of cards ready before his friends show up. After losing so many cards from various decks, John thinks he needs to count exactly how many cards he has to make sure he has enough full decks for the night. Each deck of cards should hold a certain number cards. He finds 3 half-full decks of cards and 3 full decks of cards. As he is arranging them, he realizes that the quality of a lot of the cards is quite poor and decides to throw 34 of the cards in the trash. How many cards does John now have?

[ { "keywords": [ "should", "hold", "cards.", "He" ], "value": "52" } ]

In the full decks, John has a total of 52 cards in a full deck of cards * 3 full decks of cards = <<52*3=156>>156 cards. A half-full deck of cards contains 52 cards in a full deck of cards / 2 = <<52/2=26>>26 cards. So from the half-full decks, John has a total of 26 cards * 3 half-full decks = <<26*3=78>>78 cards. This is a total of 156 cards from full decks + 78 cards from half-full decks = <<156+78=234>>234 cards. After throwing some in the trash, he now holds a total of 234 cards - 34 trashed cards = <<234-34=200>>200 cards. #### 200

Federal guidelines recommend eating at least a certain number cups of vegetables per day. From breakfast on Sunday to the end of the day on Thursday, Sarah has eaten 8 cups. How many cups per day does Sarah need to eat of her vegetables in order to meet her daily minimum requirement for the week?

[ { "keywords": [ "at", "least", "cups", "of" ], "value": "2" } ]

There are 7 days in a week and 2 cups are recommended per day, bringing the total to 7 days * 2 cups/day =<<7*2=14>>14 cups for the week. Out of the 14 total cups needed for the week, Sarah has already eaten 8, for a total of 14 cups - 8 cups = <<14-8=6>>6 cups left to consume for the week. Sunday through Thursday equals 5 days that have passed. If there are 7 days in the week then Sarah has 7 days - 5 days = <<7-5=2>>2 days left of the week. If she needs to eat 6 more cups in the next 2 days then she will have to eat 6 cups / 2 days = <<6/2=3>>3 cups per day over the next two days. #### 3

John pays for a candy bar with a certain number quarters, 3 dimes, and a nickel. He got a certain number cents back in change. How many cents did the candy bar cost?

[ { "keywords": [ "He", "got", "cents", "back" ], "value": "4" }, { "keywords": [ "bar", "with", "quarters,", "3" ], "value": "4" } ]

The quarters came to 4*25=<<4*25=100>>100 cents The dimes were worth 3*10=<<3*10=30>>30 cents The nickel was 5*1=<<5*1=5>>5 cents So he paid 100+30+5=<<100+30+5=135>>135 cents Since he got 4 cents as change it cost 135-4=<<135-4=131>>131 cents #### 131

Mike can type 65 words per minute. Due to a minor accident, Mike cannot use his right hand for a while so that his typing speed is now 20 words less per minute. If he is supposed to type a document with a certain number words, how many minutes will it take him to finish typing the document?

[ { "keywords": [ "document", "with", "words,", "how" ], "value": "810" } ]

After the accident, Mike can only type 65 words/minute - 20 words/minute = <<65-20=45>>45 words/minute. So, he will be able to finish typing the document in 810 words / 45 words/minute = <<810/45=18>>18 minutes. #### 18

A cheetah can run at a top speed of a certain number mph. The gazelle can run for speeds of up to 40 miles per hour. If one mile per hour is about a certain number feet per second, then how many seconds would it take for a cheetah traveling at top speed to catch up to a fleeing gazelle also running at top speed if the two animals were initially 210 feet apart and they both traveled in the same direction?

[ { "keywords": [ "speed", "of", "mph.", "The" ], "value": "60" }, { "keywords": [ "is", "about", "feet", "per" ], "value": "1.5" } ]

60 mph is 60*1.5=<<60*1.5=90>>90 feet per second. 40 mph is 40*1.5=<<40*1.5=60>>60 feet per second. Thus, for every second, the cheetah advances on the gazelle by 90-60=<<90-60=30>>30 feet per second. To close on a distance of 200 feet, it would take the cheetah 210/30=7 seconds to catch the gazelle. #### 7

A publishing house decides to create a contest for new writers and will award a total of $800 in prizes to the a certain number novels with the most votes. First place will get $200, second place will get $150, third place $120 and the rest of the awards will be paid with the same amount of money. How much money will each writer earn from fourth place onwards?

[ { "keywords": [ "to", "the", "novels", "with" ], "value": "18" } ]

The first three cash prizes sum to $200 + $150 + $120= $<<200+150+120=470>>470 The remaining amount of cash prizes to be distributed is $800 - $470= $<<800-470=330>>330 The number of novels left to be awarded is 18 – 3= <<18-3=15>>15 novels So each writer from 4th to 18th will earn $330 / 15= $<<330/15=22>>22 #### 22

Alyssa and Abigail need to collect 100 empty cans for their Science project. As of today, Alyssa collected 30 while Abigail collected a certain number empty cans. How many more empty cans should they collect?

[ { "keywords": [ "Abigail", "collected", "empty", "cans." ], "value": "43" } ]

Alyssa and Abigail collected a total of 30 + 43 = <<30+43=73>>73 empty cans as of today. So, they still need to collect 100 - 73 = <<100-73=27>>27 more empty cans. #### 27

Santana has 7 brothers. a certain number of them have birthdays in March, a certain number of them has a birthday in October, 1 has a birthday in November, and another 2 of them were born in December. If Santana always buys each of her brothers a birthday present and a Christmas present, how many more presents does she have to buy in the second half of the year than the first half of the year?

[ { "keywords": [ "7", "brothers.", "of", "them" ], "value": "3" }, { "keywords": [ "in", "October,", "has", "a" ], "value": "1" } ]

Santana has 1 + 1 + 2 = <<1+1+2=4>>4 brothers with birthdays in the second half of the year. She has 7 brothers - 4 brothers = <<7-4=3>>3 brothers with birthdays in the first half of the year. Altogether, she has to buy 4 + 7 = <<4+7=11>>11 presents in the second half of the year. Therefore, she has to buy 11 - 3 = <<11-3=8>>8 more presents in the second half of the year. #### 8

Ivan has a certain number dice. Jerry has twice as many dice as Ivan. How many dice do they have altogether?

[ { "keywords": [ "Ivan", "has", "dice.", "Jerry" ], "value": "20" } ]

Jerry has 2 x 20 = <<2*20=40>>40 dice. Therefore, they have 20 + 40 = <<20+40=60>>60 dice altogether. #### 60

In a big box, there are marbles in 4 colors. Inside, there are a certain number red marbles. There are three times more green marbles than red. Yellow marbles make up 20% of the green marbles. How many marbles are of a different color if the total of all marbles in the box is three times more than the number of green marbles?

[ { "keywords": [ "there", "are", "red", "marbles." ], "value": "20" } ]

There are 3 * 20 = <<3*20=60>>60 green marbles. There are 60 * 20/100 = <<60*20/100=12>>12 yellow marbles In total there are 3 * 60 = <<3*60=180>>180 marbles. That leaves 180 - 20 - 60 - 12 = <<180-20-60-12=88>>88 marbles of another color in the box. #### 88

Sandy bought a certain number million Safe Moon tokens. She has 4 siblings. She wants to keep half of them to herself and divide the remaining tokens among her siblings. After splitting it up, how many more tokens will she have than any of her siblings?

[ { "keywords": [ "Sandy", "bought", "million", "Safe" ], "value": "1" } ]

She will keep 1000000 / 2 = <<1000000/2=500000>>500000 Safe Moon tokens for herself. For the remaining siblings, they will each receive 500000 / 4 = <<500000/4=125000>>125000 tokens. This means that Sandy will have 500000 - 125000 = <<500000-125000=375000>>375000 tokens more than any of her siblings. #### 375000

Zhang is twice as old as Li. Li is 1a certain number years old. Zhang's brother Jung is 2 years older than Zhang. How old is Jung?

[ { "keywords": [ "Jung", "is", "years", "older" ], "value": "2" } ]

Zhang is 2 * 12 years old = <<2*12=24>>24 years old. Jung is 2 years + 24 years = <<2+24=26>>26 years old. #### 26

a certain number of all pies are eaten with forks. If there are a certain number pies of all kinds, how many of the pies are not eaten with forks?

[ { "keywords": [ "of", "all" ], "value": "68%" }, { "keywords": [ "there", "are", "pies", "of" ], "value": "2000" } ]

If there are 2000 pies of all kinds, and 68% of all pies are eaten with forks, there are 68/100*2000= <<68/100*2000=1360>>1360 pies eaten with forks. The number of pies that are not eaten with pie is 2000-1360=<<2000-1360=640>>640 #### 640

Lard decides to share a pizza with his friend Jelly. He takes a whole, uncut pepperoni pizza and cuts it in half. He then cuts these halves in half and gives one of the slices to Jelly. Assuming the pizza started with 40 evenly spread slices of pepperoni, how many slices of it are on the slice Lard gives Jelly if a certain number of them falls off the slice when Lard picks it up?

[ { "keywords": [ "Jelly", "if", "of", "them" ], "value": "1" } ]

First, we need to determine how many slices the pizza was cut into. To do this, we start by performing 1*2= <<1*2=2>>2 slices after the pizza was cut in half once. Each of these slices was cut in half again, yielding 2*2= <<2*2=4>>4 slices in total. Next, we divide the total amount of pepperoni slices by the number of pizza slices, as the pepperoni was spread evenly. We find there are 40/4= <<40/4=10>>10 slices of pepperoni per pizza slice. Since 1 slice of pepperoni fell off Jelly's slice, this means there are 10-1=<<10-1=9>>9 slices left on her slice. #### 9

Ali is collecting bottle caps. He has a certain number bottle caps. He has red ones and green ones. If he has a certain number red caps, what percentage of caps are green?

[ { "keywords": [ "he", "has", "red", "caps," ], "value": "50" }, { "keywords": [ "He", "has", "bottle", "caps." ], "value": "125" } ]

He has 75 green caps because 125 - 50 = <<125-50=75>>75 The proportion of caps that are green is .6 because 75 / 125 = <<75/125=.6>>.6 The percentage that are green is 60 because .6 x 100% = <<60=60>>60% #### 60

John ends up damaging his hearing aids. He needs to replace both of them. They cost $2500 each. Insurance covers a certain number of the cost. How much does he personally have to pay?

[ { "keywords": [ "Insurance", "covers", "of", "the" ], "value": "80%" } ]

The cost of the hearing aids is $2500 * 2 = $<<2500*2=5000>>5000 So insurance covers $5000 * .8 = $<<5000*.8=4000>>4000 That means it cost him $5000 - $4000 = $<<5000-4000=1000>>1000 #### 1000

Maisie and Donna dropped off flyers for a neighborhood clean-up day at houses around their neighborhood. Maisie walked down the shorter left street and dropped off a certain number flyers. Donna took the long right street on her bicycle and dropped off five more than twice as many flyers as Maisie. How many flyers did Donna drop off?

[ { "keywords": [ "dropped", "off", "flyers.", "Donna" ], "value": "33" } ]

Twice as many flyers as Maisie is 33 * 2 = <<33*2=66>>66 flyers. Donna dropped off five more than that, so she dropped off 66 + 5 = <<66+5=71>>71 flyers. #### 71

Connie is trying to remember when her grandmother was born. She knows her grandmother's older brother was born in a certain number her older sister was born in a certain number and the gap between her grandmother and her sister is twice the gap between the older brother and the older sister. What year was Connie's grandma born?

[ { "keywords": [ "born", "in", "and", "the" ], "value": "1936," }, { "keywords": [ "born", "in", "her", "older" ], "value": "1932," } ]

First find the age gap between the older brother and sister by subtracting the earlier birth year from the later: 1936 - 1932 = <<1936-1932=4>>4 years Then double the age gap to find how many years passed between the sister's birth and the grandmother's: 4 years * 2 = <<4*2=8>>8 years Then add 8 years to the older sister's birth year to find the grandmother's birth year: 1936 + 8 = <<1936+8=1944>>1944 #### 1944

Kris is blowing u balloons for her sister’s party. She has 30 minutes to blow up as many balloons as possible and decides to enlist her brother’s help to increase the number of balloons. Kris can blow up a total of a certain number balloon per minute, and her brother works twice as fast. After 15 minutes, her brother doubles his speed and works at this new speed for the remaining 15 minutes. After the 30 minutes, how many balloons, in total, did Kris and her brother blow up?

[ { "keywords": [ "total", "of", "balloon", "per" ], "value": "2" } ]

Throughout the 30 minutes, Kris blows up 2 balloons per minute * 30 minutes = <<2*30=60>>60 balloons. Her brother works at double Kris' speed in the first 15 minutes so he works at 2 balloons per minute * 2 = <<2*2=4>>4 balloons per minute. So in the first 15 minutes, he blows up 4 balloons per minute * 15 minutes = <<4*15=60>>60 balloons. In the second 15 minutes, he is working at double the rate he did previously, so he blows up 4 balloons per minute * 2 = <<4*2=8>>8 balloons per minute. In the second 15 minutes, Kris’ brother therefore blows up 8 balloons per minute * 15 minutes = <<8*15=120>>120 balloons. Throughout the 30 minutes, he has blown up a total of 60 + 120 = <<60+120=180>>180 balloons. Kris and her brother therefore blew up a total of 60 balloons from Kris + 180 balloons from Kris’ brother = <<60+180=240>>240 balloons. #### 240

Mark was caught speeding and the judge wants to make an example out of him. The base fine for speeding is $50 but additional penalties apply in this case. The fine is increased by $2 for every mile per hour Mark was going over the speed limit. He was going 75 miles per hour in a a certain number mile per hour zone. The fine is also doubled because he was in a school zone. Finally, the judge makes Mark pay $300 in court costs and he also has to pay his lawyer $80/hour for three hours of work. How much does Mark owe for this speeding ticket?

[ { "keywords": [ "in", "a", "mile", "per" ], "value": "30" } ]

First figure out how many miles over the speed limit Mark was going: 75 mph - 30 mph = <<75-30=45>>45 mph Now figure out how much the per-mile fine is: $2/mph * 45 mph = $<<2*45=90>>90 Now add that amount to the base fine: $90 + $50 = $<<90+50=140>>140 Now double that amount for being in a school zone: $140 * 2 = $<<140*2=280>>280 Now figure out how much Mark owes his lawyer: $80/hour * 3 hours = $<<80*3=240>>240 Now add the court costs, lawyer fees and fine: $240 + $300 + $280 = $<<240+300+280=820>>820 #### 820

40% of the mosquitos in Jack's area are infected with malaria. 20% of the mosquitos are infected with Zika virus. Without a vaccine, the chances of getting infected with either virus after getting bitten by an infected mosquito are a certain number Jack is taking an experimental malaria vaccine that reduces the chances of getting infected after getting bitten by 50%. If Jack gets bitten by a random mosquito, what is the percentage chance he catches either Zika virus or malaria?

[ { "keywords": [ "mosquito", "are", "Jack", "is" ], "value": "50%." } ]

First find Jack's chances of getting bitten by an infected mosquito: 40% + 20% = 60% The chance of being infected by a mosquito with after being bitten: 60% * 50% = 30% Then find the chances of getting ill after receiving the vaccine: 30% * 50% = 15% #### 15

Harry is a professional dog-walker. He is paid to go on long walks with dogs while their families are away from home. On Monday, Wednesday, and Friday, Harry walks 7 dogs. On Tuesday, he walks 12 dogs. And on Thursday he walks a certain number dogs. He is paid $5 for each dog that he walks. How many dollars does Harry earn in a week?

[ { "keywords": [ "he", "walks", "dogs.", "He" ], "value": "9" } ]

Monday, Wednesday, and Friday, Harry walks a total of 3 * 7 = <<3*7=21>>21 dogs. Thus, in a week he walks 21 + 12 + 9 = <<21+12+9=42>>42 dogs. At a rate of $5 per dog, Harry ears $5 * 42 = $<<5*42=210>>210 per week. #### 210

If seven more rabbits are added to the thirteen in the cage, the number of rabbits in the cage will be a certain number the number of rabbits Jasper saw in the park today. How many rabbits did Jasper see in the park today?

[ { "keywords": [ "will", "be", "the", "number" ], "value": "1/3" } ]

If seven more rabbits are added to the thirteen in the cage, the total number becomes 7+13 = <<7+13=20>>20 Triple the number of rabbits in the cage is 3*20 = <<3*20=60>>60, the same as the number of rabbits that Jasper saw at the park today. #### 60

There are a certain number seagulls on the roof of the Taco Bell. Kids scare 1/4 of them away by throwing stones, and a certain number of the remaining birds decide to fly to McDonald's parking lot. How many seagulls are left?

[ { "keywords": [ "There", "are", "seagulls", "on" ], "value": "36" }, { "keywords": [ "stones,", "and", "of", "the" ], "value": "1/3" } ]

First find how many birds get scared away by kids: 36 seagulls / 4 = <<36/4=9>>9 seagulls Then subtract that number from the starting total: 36 seagulls - 9 seagulls = <<36-9=27>>27 seagulls Then divide that number by 3: 27 seagulls / 3 = <<27/3=9>>9 seagulls Then subtract that number from the 27 seagulls to find the final number of seagulls: 27 seagulls - 9 seagulls = <<27-9=18>>18 seagulls #### 18

Anne's female cat weighs a certain number kilograms. Her male cat is two times heavier. If Anne is going to carry both of them, how many kilograms is she carrying?

[ { "keywords": [ "cat", "weighs", "kilograms.", "Her" ], "value": "2" } ]

Anne's male cat weighs 2 x 2 = <<2*2=4>>4 kilograms. Thus, Anne is carrying a total of 2 + 4 = <<2+4=6>>6 kilograms when she carries both of them. #### 6

Abigail is trying a new recipe for a cold drink. It uses a certain number of a cup of iced tea and 1 and a certain number of a cup of lemonade to make one drink. If she fills a pitcher with 18 total cups of this drink, how many cups of lemonade are in the pitcher?

[ { "keywords": [ "It", "uses", "of", "a" ], "value": "1/4" }, { "keywords": [ "1", "and", "of", "a" ], "value": "1/4" } ]

Each drink uses 1.5 cups because 1/4 cup + 1 and 1/4 cup = <<1.5=1.5>>1.5 cups The pitcher contains 12 total drinks because 18 / 1.5 = <<18/1.5=12>>12 There are 15 cups of lemonade in the pitcher because 12 x 1 and 1/4 = 15 #### 15

Georgia has a certain number pieces of stationery while Lorene has three times as many pieces of stationery as Georgia. How many fewer pieces of stationery does Georgia have than Lorene?

[ { "keywords": [ "Georgia", "has", "pieces", "of" ], "value": "25" } ]

Lorene has 25 x 3 = <<25*3=75>>75 pieces of stationery. Thus, Georgia has 75 - 25 = <<75-25=50>>50 fewer pieces of stationery than Lorene. #### 50

A town is trying to clear litter from its streets. The council pays for adding a certain number trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?

[ { "keywords": [ "for", "adding", "trash", "cans" ], "value": "14" } ]

At the back of stores, the town has paid for 14 trash cans on the streets * 2 = <<14*2=28>>28 trash cans. The town has therefore added 14 trash cans on the streets + 28 trash cans at the back of stores = <<14+28=42>>42 trash cans. #### 42

Jessica has one hour to take an exam. She has answered 16 out of 80 questions. She has used a certain number minutes of her time. If she keeps up this same pace, how many minutes will be left when she finishes the exam?

[ { "keywords": [ "has", "used", "minutes", "of" ], "value": "12" } ]

She takes .75 minutes to answer a question because 12 / 16 = <<12/16=.75>>.75 It will take her 60 minutes to take the entire exam because 80 x .75 = <<80*.75=60>>60 She has 0 minutes left when she is done because 60 - 60 = <<60-60=0>>0 #### 0

A chair costs 1/7 of the cost of a table. If a table costs $1a certain number0, how much will it cost to buy a table and 4 chairs?

[ { "keywords": [ "table", "and", "chairs?" ], "value": "4" } ]

One chair costs $140 x 1/7 = $<<140*1/7=20>>20. Four chairs cost $20 x 4 = $<<20*4=80>>80. So a table and 4 chairs cost $140 + $80 = $<<140+80=220>>220. #### 220

Alani earned $45 for a certain number hours of baby-sitting. At the same rate, for how many hours would she need to baby-sit to earn $75?

[ { "keywords": [ "$45", "for", "hours", "of" ], "value": "3" } ]

The rate is $45/3=$<<45/3=15>>15/hr. She would need to baby-sit for $75/$15=<<75/15=5>>5 hours. #### 5

A teacher teaches a certain number periods a day and works 24 days a month. He is paid $5 per period. if he has been working for a certain number months now how much has he earned in total?

[ { "keywords": [ "teacher", "teaches", "periods", "a" ], "value": "5" }, { "keywords": [ "working", "for", "months", "now" ], "value": "6" } ]

The amount paid to the teacher per day is 5 periods * $5 / period = $<<5*5=25>>25 per day. The amount paid for 24 days is $25 / day * 24 days = $<<25*24=600>>600. The total amount for 6 months is $600 * 6 = $<<600*6=3600>>3600. #### 3600

On her birthday, Avianna bought red candles and blue candles in the ratio of a certain number If Avianna had a certain number red candles on her birthday, how many blue candles did she have?

[ { "keywords": [ "Avianna", "had", "red", "candles" ], "value": "45" }, { "keywords": [ "ratio", "of", "If", "Avianna" ], "value": "5:3." } ]

If the ratio of red candles to blue candles Avianna bought was 5:3, then the total ratio was 5+3 = 8. If 5 represented 45 candles in the total ratio, then 8, the actual ratio, represents 8*45 = 360 divided by 5 is 360/5 = 72 candles. If the total number of candles was 72, then the number of blue candles is 72 candles - 45 candles = <<72-45=27>>27 candles #### 27

Yeon has three times as many watermelon seeds as Gwi. Gwi has 40 more watermelon seeds than Bom. If Bom has a certain number watermelon seeds, how many seeds do they have together?

[ { "keywords": [ "Bom", "has", "watermelon", "seeds," ], "value": "300" } ]

If Bom has 300 seeds, then Gwi has 300+40 = <<300+40=340>>340 watermelon seeds. Together, Bom and Gwi have 340+300 = <<340+300=640>>640 melon seeds. Yeon's number of watermelon seeds is three times as many as the number that Gwi has, meaning Yeon has 3*340 = <<3*340=1020>>1020 watermelon seeds. Together, the three friends have 1020+640 = <<1020+640=1660>>1660 watermelon seeds. #### 1660

Jasmine and her older sister Alexa went to the store to buy shoes. Alexa's shoes are twice as big as Jasmine's shoes. If Jasmine's shoe size is a certain number what's the combined shoe size for both of them?

[ { "keywords": [ "size", "is", "what's", "the" ], "value": "7," } ]

If Alexa's shoes are twice those of Jasmine, then her shoe size is 7 * 2 = <<7*2=14>>14 The total shoe size is 14 + 7= <<14+7=21>>21 #### 21

Vaishali has a certain number hats, each with three stripes. She also has three hats with four stripes each, six hats with no stripes, and another two hats with a certain number stripes each. What is the combined total number of stripes Vaishali has on all of her hats?

[ { "keywords": [ "hats", "with", "stripes", "each." ], "value": "5" }, { "keywords": [ "Vaishali", "has", "hats,", "each" ], "value": "4" } ]

Four hats, each with three stripes, is 4*3=<<4*3=12>>12 stripes. Three hats with four stripes each is 3*4=<<3*4=12>>12 stripes. Six hats with no stripes is 6*0 = <<6*0=0>>0 stripes. And two hats with 5 stripes each is 2*5=<<2*5=10>>10 stripes. The combined total number of stripes Vaishali has on all of her hats is 12+12+0+10=<<12+12+0+10=34>>34 stripes. #### 34

A baker has a certain number cheesecakes on the display while 15 more are still in the fridge. If the baker has sold a certain number cheesecakes from the display, how many more cheesecakes are left to be sold?

[ { "keywords": [ "baker", "has", "cheesecakes", "on" ], "value": "10" }, { "keywords": [ "has", "sold", "cheesecakes", "from" ], "value": "7" } ]

A baker has a total of 10 + 15 = <<10+15=25>>25 cheesecakes both from the display and the fridge. Therefore, there are 25 - 7 = <<25-7=18>>18 more cheesecakes to be sold. #### 18

Tina is working on her homework when she realizes she's having a hard time typing out her answers on her laptop because a lot of the keys are sticky. She is trying to get her homework done before dinner, though, so she needs to decide if she has time to clean her keyboard first. Tina knows her assignment will only take 10 minutes to complete. Dinner will be ready at 5:30 p.m. Tina decides to time how long it takes to remove and clean one key and will then multiply that time by how many keys she needs to fix. She counts a certain number keys that are sticky and times it to take 3 minutes to clean one. After Tina has cleaned one key, there are a certain number left to clean. How many minutes total will it take for Tina to both clean the remaining keys and finish her assignment?

[ { "keywords": [ "there", "are", "left", "to" ], "value": "14" }, { "keywords": [ "She", "counts", "keys", "that" ], "value": "15" } ]

Tina has already cleaned one key so she has 14 left which take 3 minutes each to clean, 14 x 3 = <<14*3=42>>42 minutes to clean all the keyboard keys. Her assignment will take 10 minutes to complete, so she needs 42 minutes + 10 minutes = 52 minutes total before dinner. #### 52

Jacob is a certain number years now. His brother Tony is half Jacob's age. In a certain number years how old will tony be?

[ { "keywords": [ "age.", "In", "years", "how" ], "value": "6" }, { "keywords": [ "Jacob", "is", "years", "now." ], "value": "24" } ]

Tony’s age now is 24 / 2 = <<24/2=12>>12 years old. In 6 years he will be 12 + 6 = <<12+6=18>>18 years old. #### 18

James buys a certain number00 lotto tickets for 2 dollars each. Of those tickets 20% are winners. 80% of the winners are for 5 dollars. 1 ticket is the grand prize of $5,000. The other tickets win an average of $10. How much did he profit?

[ { "keywords": [ "tickets", "for", "dollars", "each." ], "value": "2" } ]

He spent 200*2=$<<200*2=400>>400 There were 200*.2=<<200*.2=40>>40 tickets Of those 40*.8=32 are 5 dollar winners So they win 32*5=$<<32*5=160>>160 He has 40-32=<<40-32=8>>8 other winning tickets Of those 8-1=<<8-1=7>>7 wins $10 So they win 10*7=$<<10*7=70>>70 So he won 5000+70+160-400=$<<5000+70+160-400=4830>>4830 #### 4830

In a community of 50 families, a certain number5 families own a certain number dogs, 20 families own 1 dog, while the remaining families own 2 cats each. How many dogs and cats are there in all?

[ { "keywords": [ "families", "own", "dog,", "while" ], "value": "1" }, { "keywords": [ "families", "own", "dogs,", "20" ], "value": "2" } ]

The 15 families own 15x2=<<15*2=30>>30 dogs. The 20 families own 20x1=<<20*1=20>>20 dogs. There are 50-15-20=<<50-15-20=15>>15 cat owners. The remaining families own 15x2=<<15*2=30>>30 cats. There are 30+20+30=<<30+20+30=80>>80 dogs and cats in the village. #### 80

Michelangelo has a certain number ceilings to paint. This week, he paints a certain number of them. Next week, he will paint 1/4 the number of ceilings he did this week. How many ceilings will be left to paint after next week?

[ { "keywords": [ "Michelangelo", "has", "ceilings", "to" ], "value": "28" }, { "keywords": [ "he", "paints", "of", "them." ], "value": "12" } ]

After this week, Michelangelo will have 28-12=<<28-12=16>>16 more ceilings to paint. Next week, Michelangelo will paint 12/4=<<12/4=3>>3 ceilings. Michelangelo will have 16-3=<<16-3=13>>13 more ceilings to paint. #### 13

Alex makes luxury dresses out of silk. Each dress needs 5 meters of silk and Alex has a certain number meters of silk in storage. His friends also want to learn how to make these dresses so Alex gives all 5 of them 20 meters of silk each. He uses the rest to make dresses himself. How many dresses can Alex make?

[ { "keywords": [ "Alex", "has", "meters", "of" ], "value": "600" } ]

Alex gives his friends a total of 5 friends * 20 meters of silk = <<5*20=100>>100 meters of silk. This means he has 600 – 100 = <<600-100=500>>500 meters of silk left in storage. He can therefore make 500 meters of silk / 5 meters of silk per dress = <<500/5=100>>100 dresses. #### 100

Tony has to run several errands in a day. He needs to drive a certain number miles to get groceries, a certain number miles to get a haircut and 5 miles to go to a doctor's appointment. How many miles will Tony have driven when he is halfway through driving around for his errands?

[ { "keywords": [ "get", "groceries,", "miles", "to" ], "value": "15" }, { "keywords": [ "to", "drive", "miles", "to" ], "value": "10" } ]

First, we need to find the total number of miles Tony will be driving by adding 10+15+5=<<10+15+5=30>>30 miles in total. To determine the halfway point, we simply divide the total number of miles by 2, performing 30/2=<<30/2=15>>15 miles driven when Tony is halfway done. #### 15

Veronica's flashlight was bright enough to be seen at night from a distance of 1000 feet. Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, and Velma's flashlight could be seen at night from a distance a certain number feet less than 5 times farther than Freddie's flashlight. If Veronica's and Velma's flashlight were placed next to one another and turned on at night, how much farther, in feet, could Velma's flashlight be seen compared to Veronica's?

[ { "keywords": [ "a", "distance", "feet", "less" ], "value": "2000" } ]

Freddie's flashlight could be seen at night for a distance three times farther than Veronica's flashlight, for a total distance of 3*1000=<<3*1000=3000>>3000 feet. Five times farther than the distance from which Freddie's flashlight can be seen at night is 5*3000=<<5*3000=15000>>15,000 feet. Velma's flashlight could be seen at night from a distance 2000 feet less than 5 times farther than Freddie's flashlight, for a total distance of 15,000-2,000=<<15000-2000=13000>>13,000 feet. Compared to Veronica's flashlight, Velma's flashlight could be seen for a distance of 13,000-1,000=<<13000-1000=12000>>12,000 feet farther. #### 12,000

The city’s bus system carries a certain number people each day. How many people does the bus system carry for a certain number weeks?

[ { "keywords": [ "carry", "for", "weeks?" ], "value": "13" }, { "keywords": [ "system", "carries", "people", "each" ], "value": "1,200,000" } ]

13 weeks have 13 * 7 = <<13*7=91>>91 days. For 91 days the bus system carries 1,200,000 * 91 = <<1200000*91=109200000>>109,200,000 people. #### 109,200,000

In the city, there is a block of flats. This block has 12 floors. Half of the floors have a certain number apartments and the other half have a certain number apartments. One apartment can accommodate a maximum of 4 residents. What is the maximum number of residents that can live in this block of flats?

[ { "keywords": [ "floors", "have", "apartments", "and" ], "value": "6" }, { "keywords": [ "half", "have", "apartments.", "One" ], "value": "5" } ]

Half of the floors have different numbers of apartments. Half the number of floors is 12 floors / 2 = <<12/2=6>>6 floors. One half of the block consists of 6 floors * 6 apartments/floor = <<6*6=36>>36 apartments. And the other half consists of 6 floors * 5 apartments/floor = <<6*5=30>>30 apartments. There are 30 + 36 = <<30+36=66>>66 apartments on all floors in the block. All the apartments can therefore accommodate 66 apartments * 4 residents/apartment = <<66*4=264>>264 residents. #### 264

A bus has a capacity of a certain number people. If it carried a certain number of its capacity on its first trip from city A to city B and 4/5 of its capacity on its return trip, calculate the total number of people the bus carried on the two trips?

[ { "keywords": [ "capacity", "of", "people.", "If" ], "value": "200" }, { "keywords": [ "it", "carried", "of", "its" ], "value": "3/4" } ]

From city A to city B, the bus carried 3/4*200 = <<3/4*200=150>>150 passengers On the return trip, the bus carried 4/5*200 = <<4/5*200=160>>160 passengers In total, the bus carried 160+150 = <<160+150=310>>310 passengers. #### 310

Quinton brought 40 cupcakes to school on his birthday. He gave a cupcake to each of the a certain number students in Ms. Delmont's class. He also gave a cupcake to each of the a certain number students in Mrs. Donnelly's class. He also gave a cupcake to Ms. Delmont, Mrs. Donnelly, the school nurse, and the school principal. How many cupcakes did he have left over?

[ { "keywords": [ "of", "the", "students", "in" ], "value": "18" }, { "keywords": [ "each", "of", "the", "students", "in" ], "value": "16" } ]

Quinton had 40 cupcakes - 18 = <<40-18=22>>22 cupcakes. He then had 22 cupcakes - 16 students = <<22-16=6>>6 cupcakes. Quinton then gave away 6 - 1 -1 -1 -1 = <<6-1-1-1-1=2>>2 cupcakes left. #### 2

The school band has 30 songs in their repertoire. The band played a certain number songs in their first set and 7 in their second set. The band will play a certain number songs for their encore. Assuming the band plays through their entire repertoire, how many songs will they play on average in the third and fourth sets?

[ { "keywords": [ "band", "played", "songs", "in" ], "value": "5" }, { "keywords": [ "will", "play", "songs", "for" ], "value": "2" } ]

The band played 5 + 7 = <<5+7=12>>12 songs in their first two sets. They have 30 - 12 = <<30-12=18>>18 songs left for the third set, fourth set and encore. Since they played 2 songs in the encore, they have 18 - 2 = <<18-2=16>>16 songs to play on the third and fourth sets They will play 16 / 2 = <<16/2=8>>8 songs on average over the third and fourth sets. #### 8

Some students want to buy pencils from a stationery shop. The price of one pencil is a certain number0 cents. Tolu wants 3 pencils, Robert wants a certain number pencils and Melissa wants 2 pencils. How much (in dollars) will the students spend altogether at the stationery shop?

[ { "keywords": [ "Robert", "wants", "pencils", "and" ], "value": "5" }, { "keywords": [ "Melissa", "wants", "pencils.", "How" ], "value": "2" } ]

The three students want a total of 3+2+5 = <<3+2+5=10>>10 pencils Each pencil cost 20 cents so 10 pencils cost 20*10 = <<20*10=200>>200 cents 100 cents make a dollar so 200 cents make 200/100 = <<200/100=2>>2 dollars #### 2