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A roadwork company is paving a newly constructed 16-mile road. They use a mixture of pitch and gravel to make the asphalt to pave the road. Each truckloads of asphalt uses two bags of gravel and five times as many bags of gravel as it does barrels of pitch to make. It takes three truckloads of asphalt to pave each mile of road. The company paved a certain number miles of road on one day, then one mile less than double that on the second day. How many barrels of pitch will the company need to finish the remaining road on the third day?
[ { "keywords": [ "company", "paved", "miles", "of" ], "value": "4" } ]
On the second day, the company paved 4 * 2 - 1 = <<4*2-1=7>>7 miles. The company has 16 - 7 - 4 = <<16-7-4=5>>5 miles of road remaining to pave. They will need 3 * 5 = <<3*5=15>>15 truckloads of asphalt to pave 5 miles of road. For 15 truckloads, they will need 15 * 2 = <<15*2=30>>30 bags of gravel. Thus, the company will need 30 / 5 = <<30/5=6>>6 barrels of pitch to finish the road on the third day. #### 6
Dorothy earns $60000 a year from her work. She needs to pay a certain number of this amount in taxes. How much money will she have left after she pays the taxes?
[ { "keywords": [ "to", "pay", "of", "this" ], "value": "18%" } ]
The amount in taxes Dorothy needs to pay is 18/100 * 60000 = $<<18/100*60000=10800>>10800. So she is going to be left with 60000 - 10800 = $<<60000-10800=49200>>49200. #### 49200
Kantana loves chocolate. Every Saturday she goes to the candy store and buys a certain number chocolates for herself and 1 for her sister. This last Saturday she picked up an additional a certain number chocolates as a birthday gift for her friend Charlie. How many chocolates did Kantana end up buying for the month?
[ { "keywords": [ "and", "buys", "chocolates", "for" ], "value": "2" }, { "keywords": [ "an", "additional", "chocolates", "as" ], "value": "10" } ]
There is 1 Saturday in a week and there are 4 weeks in a month so there are 1 * 4= <<1*4=4>>4 Saturdays in a month (on average) If Kantana buys herself 2 chocolates every Saturday then this means she buys 2 * 4=<<2*4=8>>8 chocolates for herself for the month. Kantana also buys her sister 1 chocolate on these trips so she is picking up an additional 1* 4=<<1*4=4>>4 additional chocolates for her sister for the month. Kantana decided to also purchase some chocolates for her friend Charlie for his birthday. She bought Charlie 10 chocolates. This means that for the month she bought 10 chocolates for Charlie, 4 chocolates for her sister, and 8 chocolates for herself, 10+4+8= <<10+4+8=22>>22 chocolates bought in total for the month. #### 22
Martha needs 4 cups of berries and 2 cups of heavy cream to make a certain number quart of ice cream. She wants to make 1 quart of strawberry ice cream and 1 quart of raspberry ice cream. At the farmers market, the 2 cup packages of strawberries are $3.00 each and the 2 cup package of raspberries are $5.00 each. The heavy cream is sold for $4.00 for a 4 cup container. How much will it cost her to make 1 quart of each ice cream?
[ { "keywords": [ "to", "make", "quart", "of" ], "value": "1" } ]
She needs 4 cups of strawberries per quart of ice cream and the strawberries are sold in 2 cup packages. So 4/2 = <<4/2=2>>2 packages of strawberries The strawberries cost $3.00 per package and she needs 2 so 3*2=$<<3*2=6.00>>6.00 She needs 4 cups of raspberries per quart of ice cream and the raspberries are sold in 2 cup packages. So 4/2 = <<4/2=2>>2 packages of raspberries The raspberries cost $5.00 per package and she needs 2 so 5*2 = $<<5*2=10.00>>10.00 Every quart needs 2 cups of heavy cream and she's making 2 quarts so 2*2 = <<2*2=4>>4 quarts She will spend $6.00 on strawberries, $10.00 on raspberries and $4.00 on heavy cream bringing the total to 6+10+4 = $<<6+10+4=20.00>>20.00 #### 20
Eve wants to buy her a certain number nieces cooking gear that's made for kids. The hand mitts cost $14.00 and the apron is $16.00. A set of 3 cooking utensils is $10.00 and a small knife is twice the amount of the utensils. The store is offering a a certain number off sale on all cooking gear. How much will Eve spend on the gifts?
[ { "keywords": [ "set", "of", "cooking", "utensils" ], "value": "3" }, { "keywords": [ "offering", "a", "off", "sale" ], "value": "25%" } ]
A small knife is twice the amount of the utensils that costs $10.00 so the knife costs 2*10 = $<<2*10=20.00>>20.00 All total, each little kit will costs $14.00 for mitts, $16.00 for an apron, $10.00 for utensils and $20.00 for a knife for a total of 14+16+10+20 = $<<14+16+10+20=60.00>>60.00 Each kit costs $60.00 and they are currently 25% off so that's a savings of 60*.25 = $<<60*.25=15.00>>15.00 The kits are $60.00 and they are $15.00 off so they now cost 60-15 = $<<60-15=45.00>>45.00 She needs to buy 3 kits and each kit costs $45.00 so that's 3*45 = $<<3*45=135.00>>135.00 #### 135
Alex has a certain number cakes that are each cut into 8 slices. A fourth of the slices are given away to his friends. A third of the remaining slices are given away to his family. Alex eats a certain number slices. How many slices of the cake are left?
[ { "keywords": [ "Alex", "has", "cakes", "that" ], "value": "2" }, { "keywords": [ "Alex", "eats", "slices.", "How" ], "value": "3" } ]
There are 2*8 = <<2*8=16>>16 slices of cake. There are 16/4 = <<16/4=4>>4 slices There are 16-4 = <<16-4=12>>12 slices left. There are 12/3 = <<12/3=4>>4 slices given away There are 12-4-3 = <<12-4-3=5>>5 slices of cake left. #### 5
At a gathering, it was reported that 26 people took wine, a certain number people took soda, and a certain number people took both drinks. If each person could have taken one or more drinks regardless of what was reported, how many people altogether were at the gathering?
[ { "keywords": [ "took", "wine,", "people", "took" ], "value": "22" }, { "keywords": [ "soda,", "and", "people", "took" ], "value": "17" } ]
The number of people who took only wine is the difference between the number of people who took wine and those who took wine and soda which is 26 -17 = <<26-17=9>>9 people In the same manner, the number of people who took only soda is 22-17 = <<22-17=5>>5 people Therefore the total number present is the sum of those who took wine only, those who took soda only and those who took both which is 9+5+17 = <<9+5+17=31>>31 people #### 31
Bobby needed to make some trips with his truck and had only a certain number gallons of gasoline. He drives to a supermarket 5 miles away and then drives back home. Then he headed to his farm which was 6 miles away. Two miles into the journey, he turned around and drove back home to retrieve some farming tools he forgot to take earlier and drove down to the farm. If he now has exactly a certain number gallons of gasoline left, at what rate in miles per gallon has his truck been consuming gasoline?
[ { "keywords": [ "had", "only", "gallons", "of" ], "value": "12" }, { "keywords": [ "has", "exactly", "gallons", "of" ], "value": "2" } ]
The trip to the supermarket and back home covers 5+5=<<5+5=10>>10 miles. The round trip of two miles each before he actually went to the farm covers 2+2=<<2+2=4>>4 miles. Six miles to the farm and the total mileage is 10+4+6=<<10+4+6=20>>20 miles. The truck consumed 12-2=<<12-2=10>>10 gallons of gasoline for the total journey. So, the rate is 20/10= <<20/10=2>>2 miles per gallon. #### 2
Terez has 44 cows on his farm. a certain number percent of the cows are female, and a certain number percent of the females are pregnant. How many pregnant female cows does Terez have?
[ { "keywords": [ "his", "farm.", "percent", "of" ], "value": "50" }, { "keywords": [ "female,", "and", "percent", "of" ], "value": "50" } ]
Female:44(.50)=22 Pregnant:22(.50)=11 cows #### 11
Tom needs to lower a rope down 6 stories. One story is a certain number feet. The only rope being sold is a certain number feet long but you lose 25% when lashing them together. How many pieces of rope will he need to buy?
[ { "keywords": [ "story", "is", "feet.", "The" ], "value": "10" }, { "keywords": [ "sold", "is", "feet", "long" ], "value": "20" } ]
He needs 10*6=<<10*6=60>>60 feet He loses 20*.25=<<20*.25=5>>5 feet each time So he gets 20-5=<<20-5=15>>15 feet from each piece That means he needs 60/15=<<60/15=4>>4 pieces of rope #### 4
Samuel swept the porch and cleared nine-tenths of the dust particles from it. As he walked across the porch afterward, his shoes left 223 dust particles behind. How many dust particles were on the porch before Samuel swept if there were a certain number after he walked across it?
[ { "keywords": [ "there", "were", "after", "he" ], "value": "331" } ]
Before Samuel walked across the porch, there were 331 - 223 = <<331-223=108>>108 dust particles. Those 108 were 1/10 of the original amount, so there were 108 * 10 = <<108*10=1080>>1080 dust particles on the porch before Samuel swept. #### 1080
In a a certain number soccer game, Mark played 20 minutes, then rested after. He then played for another a certain number minutes. How long was he on the sideline?
[ { "keywords": [ "for", "another", "minutes.", "How" ], "value": "35" }, { "keywords": [ "In", "a", "soccer", "game," ], "value": "90-minute" } ]
Mark played for a total of 20 + 35 = <<20+35=55>>55 minutes. So, he was on the sideline for 90 - 55 = <<90-55=35>>35 minutes. #### 35
Kim's TV uses 125 watts of electricity per hour. She runs it for a certain number hours a day. If electricity cost 14 cents per kw/h how many cents does her TV cost to run for a week?
[ { "keywords": [ "it", "for", "hours", "a" ], "value": "4" } ]
She uses 4 hours/day * 125 watts/hour=<<4*125=500>>500 watt hours/day That means she uses 500 watt hours/day * 7 days/week = <<500*7=3500>>3500 watt hours/week This is 3500 watt hours / 1000 watts/kw = <<3500/1000=3.5>>3.5 kw hours So her TV cost 3.5 kw hours/week * $0.14/kw hour = $<<3.5*0.14=0.49>>0.49/week #### 49
Archie is playing with his marbles outside. He loses a certain number of them into the street. Of the remaining ones, he loses half down a sewer. If he has 20 left, how many did he start with?
[ { "keywords": [ "He", "loses", "of", "them" ], "value": "60%" } ]
He had 40 before losing them into the sewer because 20 x 2 =<<40=40>>40 He started with 100 because 40/.4=<<100=100>>100 #### 100
Adam earns $40 daily in his job. a certain number of his money is deducted as taxes. How much money will Adam have earned after taxes after a certain number days of work?
[ { "keywords": [ "taxes", "after", "days", "of" ], "value": "30" }, { "keywords": [ "his", "job.", "of", "his" ], "value": "10%" } ]
The amount of money deducted from Adam's daily pay is $40 / 10 = $<<40/10=4>>4. So after deducting 10%, Adam’s daily pay is $40 – $4 = $<<40-4=36>>36. This means that in 30 days he earns $36 * 30 = $<<36*30=1080>>1080. #### 1,080
Lucille is painting her room. Two of her walls are 3 meters wide and a certain number meters tall. The third wall is 5 meters wide and 2 meters tall. The final wall is a certain number meters wide and 2 meters tall. If each can of paint covers 2 square meters, how many cans of paint does Lucille need?
[ { "keywords": [ "wide", "and", "meters", "tall." ], "value": "2" }, { "keywords": [ "wall", "is", "meters", "wide" ], "value": "4" } ]
For the first set of walls, each wall covers 3 meters wide * 2 meters tall = <<3*2=6>>6 square meters. There are two of these walls, so this becomes a total of 6 meters * 2 walls = <<6*2=12>>12 square meters. The third wall covers 5 meters wide * 2 meters tall = <<5*2=10>>10 square meters. The final wall covers 4 meters wide * 2 meters tall = <<4*2=8>>8 square meters. So in total, the paint needs to cover 12 + 10 + 8 = <<12+10+8=30>>30 metres. Since each can covers 2 meters, Lucille needs 30 meters / 2 = <<30/2=15>>15 cans of paint. #### 15
Brian can only hold his breath underwater for a certain number seconds. He wants to get better, so he starts practicing. After a week, he's doubled the amount of time he can do it. After another week, he's doubled it again from the previous week. The final week, he's increased it by 50% from the previous week. How long can Brian hold his breath for now?
[ { "keywords": [ "underwater", "for", "seconds.", "He" ], "value": "10" } ]
At the end of his first week, Brian now has doubled his initial time of 10 seconds to 10*2=<<10*2=20>>20 seconds At the end of his second week, Brian doubled the previous week's time of 20 seconds to 20*2=<<20*2=40>>40 seconds At the end of his third week of practice, Brian adds another 50% of 40 seconds to his time so 40*.5= <<40*.5=20>>20 seconds added Having added 20 seconds to his time from his second week, Brian can now hold his breath for 40+20= <<20+40=60>>60 seconds #### 60
A farmer has twice as many pigs as cows, and a certain number more cows than goats. If the farmer has a certain number animals total, how many goats does he have?
[ { "keywords": [ "cows,", "and", "more", "cows" ], "value": "4" }, { "keywords": [ "farmer", "has", "animals", "total," ], "value": "56" } ]
Let x be the number of goats Cows:4+x Pigs:2(4+x)=8+2x Total:x+4+x+8+2x=56 4x+12=56 4x=44 x=<<11=11>>11 goats #### 11
For a school fundraiser, Chandler needs to sell 12 rolls of wrapping paper. So far, he has sold a certain number rolls to his grandmother, 4 rolls to his uncle, and 3 rolls to a neighbor. How many more rolls of wrapping paper does Chandler need to sell?
[ { "keywords": [ "has", "sold", "rolls", "to" ], "value": "3" } ]
Chandler has sold 3 rolls + 4 rolls + 3 rolls = <<3+4+3=10>>10 rolls. Chandler still needs to sell 12 rolls – 10 rolls = <<12-10=2>>2 rolls. #### 2
Jackson’s mom packs him a peanut butter and jelly sandwich for his school lunch on Wednesdays and Fridays. There are 36 weeks of school and Jackson has only missed 1 Wednesday and a certain number Fridays. How many peanut butter and jelly sandwiches did he eat for lunch this school year?
[ { "keywords": [ "Wednesday", "and", "Fridays.", "How" ], "value": "2" } ]
36 weeks of school x 2 days of the week = <<36*2=72>>72 days of school 1 Wednesday + 2 Fridays = <<1+2=3>>3 days of school missed 72 days of school – 3 days of school missed = <<72-3=69>>69 peanut butter and jelly sandwiches eaten #### 69
Punger collects baseball cards. He buys a certain number packs of baseball cards. Each pack has a certain number cards inside. He wants to put these cards in special pages to protect the cards. Each page can hold 10 cards. How many pages does he need to buy?
[ { "keywords": [ "pack", "has", "cards", "inside." ], "value": "7" }, { "keywords": [ "He", "buys", "packs", "of" ], "value": "60" } ]
60 packs of cards * 7 cards per pack = <<60*7=420>>420 cards 420 cards / 10 cards per page = <<420/10=42>>42 pages #### 42
On Friday, Remy paid Sally’s Woodworking LLC a total of $20,700 for a certain number pieces of furniture. Later that evening, the company’s accountant discovered that a new intern in the sales department had overcharged Remy. If the cost of a piece of furniture is $134, how much money will Sally’s Woodworking LLC reimburse Remy?
[ { "keywords": [ "$20,700", "for", "pieces", "of" ], "value": "150" } ]
The total cost of all the pieces of furniture should be 134 * 150 = <<134*150=20100>>20100 dollars Sally’s Woodworking LLC will reimburse Remy the difference between the total cost and the amount he paid, which is 20700 - 20100 = <<20700-20100=600>>600 dollars #### 600
Seth bought some boxes of oranges. He gave a box to his mother. He then gave away half of the remaining boxes. If Seth has a certain number boxes of oranges left, how many boxes did he buy in the first place?
[ { "keywords": [ "Seth", "has", "boxes", "of" ], "value": "4" } ]
After giving a box to his mom, Seth had 4*2=<<4*2=8>>8 boxes left. Seth bought 8+1=<<8+1=9>>9 boxes of oranges. #### 9
Marla has a grid of squares that has 10 rows and 15 squares in each row. She colors 4 rows of a certain number squares in the middle of the grid with red. She colors all squares on the first a certain number and last 2 rows with blue. Then she colors the rest with green. How many squares does Marla color green?
[ { "keywords": [ "rows", "of", "squares", "in" ], "value": "6" }, { "keywords": [ "and", "last", "rows", "with" ], "value": "2" } ]
There are 10 x 15 = <<10*15=150>>150 squares in a grid. 4 x 6 = <<4*6=24>>24 squares are colored red. There are 2 + 2 = <<2+2=4>>4 rows that are all blue. Thus, a total of 4 x 15 = <<4*15=60>>60 squares are colored blue. 24 + 60 = <<24+60=84>>84 squares are color red or blue. Therefore, 150 - 84 = <<150-84=66>>66 square are green. #### 66
Students at Highridge High earn a certain number points for each correct answer during a quiz bowl If a student correctly answers all the questions in a round, the student is awarded an additional a certain number point bonus. They played a total of five rounds each consisting of five questions. If James only missed one question, how many points did he get?
[ { "keywords": [ "an", "additional", "point", "bonus." ], "value": "4" }, { "keywords": [ "High", "earn", "points", "for" ], "value": "2" } ]
If James only missed one question in all five rounds of five questions, he correctly answered 5 * 5 - 1 = <<5*5-1=24>>24 questions Before the bonus, James earned 24 correct answers * 2 points/answer = <<24*2=48>>48 points. Since missing one question would only disqualify him from receiving a bonus in one round, he would earn a bonus for 5-1=<<5-1=4>>4 rounds. He should expect a bonus of 4 rounds* 4 points/round= <<4*4=16>>16 points. Including his bonus, James scored a total of 48 + 16 = <<48+16=64>>64 points. #### 66
Catriona has a certain number goldfish in her aquarium. She has 4 more angelfish than goldfish. Also, she has twice as many guppies as angelfish. How many fish does Catriona have in her aquarium?
[ { "keywords": [ "Catriona", "has", "goldfish", "in" ], "value": "8" } ]
Catriona has 8 + 4 = <<8+4=12>>12 angelfish. She also has 12 x 2 = <<12*2=24>>24 guppies. Thus, she has 8 + 12 + 24 = <<8+12+24=44>>44 fish in her aquarium. #### 44
Carl has a jar full of marbles. He takes out 12 marbles to play a game with, but he accidentally drops them and a certain number the marbles get lost. So Carl takes out 10 more marbles. While he is playing his game his mother comes home with another bag of marbles for him, which has 25 marbles in it. If Carl can't find his lost marbles, then how many marbles is he going to put in the jar after he plays his game, from both his original marbles and the new ones?
[ { "keywords": [ "them", "and", "the", "marbles" ], "value": "1/2" } ]
Carl starts with 12 marbles to play with but loses 1/2, 12 / 2 = <<12/2=6>>6 marbles Carl didn't lose. Carl takes out 10 more marbles, 6 + 10 = <<6+10=16>>16 marbles. Then Carl's mother brings him 25 new marbles to add to the 16 he has out of his jar, 25 + 16 = <<25+16=41>>41 marbles that Carl is going to put in his jar after he plays his marbles game. #### 41
Rene can finish reading 30 pages in a certain number minutes. Lulu can read 27 pages in a certain number minutes and Cherry can read 25 pages in 60 minutes. If they have been reading for 240 minutes now, how many pages have they finished reading in total?
[ { "keywords": [ "pages", "in", "minutes", "and" ], "value": "60" }, { "keywords": [ "pages", "in", "minutes.", "If" ], "value": "60" } ]
Rene finished 30 x 4 = <<30*4=120>>120 pages in 240 minutes. Lulu finished 27 x 4 = <<27*4=108>>108 pages in 240 minutes. Cherry finished 25 x 4 = <<25*4=100>>100 pages in 240 minutes. Therefore they have finished a total of 120 + 108 + 100 = 328 pages in 240 minutes. #### 328
Sonja makes her own peanut butter with peanuts and oil in a blender. She uses a ratio of two ounces of oil to smooth out every eight ounces of peanuts. Her last batch of peanut butter weighed a certain number ounces. How many ounces of oil did she use?
[ { "keywords": [ "butter", "weighed", "ounces.", "How" ], "value": "20" } ]
Sonja uses 2 ounces of oil for 8 ounces of peanuts to make 2 + 8 = 10 ounces of peanut butter. Her last batch weighed 20 ounces, so she made 20 / 10 = <<20/10=2>>2 times her ratio. Thus, she used 2 * 2 = <<2*2=4>>4 ounces of oil. #### 4
On the first day of the journey, the Skipper sailed his ship halfway to the destination by traveling due east for 20 hours at a speed of a certain number kilometers per hour, and then turned the ship's engines off to let them cool down. But while the engines were off, a wind storm blew his vessel backward in a westward direction. After the storm, the Skipper used his GPS device to determine the new location of the ship, and he discovered that he was only one-third of the way to his destination. How many kilometers had the ship been blown in a westward direction by the storm?
[ { "keywords": [ "speed", "of", "kilometers", "per" ], "value": "30" } ]
Traveling 20 hours due east at 30 kilometers per hour, the ship sailed 20*30=<<20*30=600>>600 kilometers the first day. If half the distance to the destination is 600 kilometers, then 2*600=<<2*600=1200>>1200 kilometers is the total distance from start to destination. One-third of the distance from start to destination is 1/3 * 1200 = <<1200/3=400>>400 kilometers. Thus, the wind storm blew the ship in a westward direction for 600 - 400 = <<600-400=200>>200 kilometers. #### 200
Karen’s work tote bag is twice the weight of her husband Kevin’s briefcase when the briefcase is empty. When Kevin puts his laptop and work papers in his briefcase, it is twice the weight of Karen’s tote. Kevin’s work papers are a sixth of the weight of the contents of his full briefcase. If Karen’s tote weighs a certain number pounds, how many more pounds does Kevin’s laptop weigh than Karen’s tote?
[ { "keywords": [ "tote", "weighs", "pounds,", "how" ], "value": "8" } ]
Kevin’s full briefcase is 2 * 8 = <<2*8=16>>16 pounds. His empty briefcase is 8 / 2 = <<8/2=4>>4 pounds. The contents of his briefcase weigh 16 - 4 = <<16-4=12>>12 pounds. His work papers weigh 12 / 6 = <<12/6=2>>2 pounds. Thus, his laptop weighs 12 - 2 = <<12-2=10>>10 pounds. Therefore, Kevin’s laptop weighs 10 - 8 = <<10-8=2>>2 pounds more than Karen’s tote. #### 2
Tony paid $7 for 2 dozen apples and a certain number bunch of bananas. Arnold paid $5 for a certain number dozen apples and 1 bunch of bananas. How much does a bunch of bananas cost?
[ { "keywords": [ "apples", "and", "bunch", "of" ], "value": "1" }, { "keywords": [ "dozen", "apples", "and", "bunch", "of" ], "value": "1" } ]
Tony paid $7-$5= $<<7-5=2>>2 more than Arnold We know he bought the same number of bananas as Arnold but that he bought 2-1=1 dozen apples more than Arnold Therefore a dozen apples should cost $2 If Arnold paid $5 and $2 for a dozen apples then the bunch of bananas cost $5-$2=$<<5-2=3>>3 #### 3
If Stu has a certain number books and Albert has a certain number times as many books as Stu, how many books do Stu and Albert have in total?
[ { "keywords": [ "Albert", "has", "times", "as" ], "value": "4" }, { "keywords": [ "Stu", "has", "books", "and" ], "value": "9" } ]
Albert has 4 * 9 books belonging to Stu = <<4*9=36>>36 books. So the pair have a combined total of 36 books belonging to Albert + 9 books belonging to Stu = <<36+9=45>>45 books. #### 45
In a race, there are eight runners. The first five runners finish the race in a certain number hours, while the rest of the runners finish the race 2 hours later. Calculate the total time the eight runners took to finish the race.
[ { "keywords": [ "race", "in", "hours,", "while" ], "value": "8" } ]
The first five runners took a combined total of 5*8 = <<5*8=40>>40 hours to finish the race. The number of runners who finished the race 2 hours later after the first five is 8-5 = <<8-5=3>>3 The 3 runners who finished the race 2 hours later took a total of 8+2 =<<8+2=10>>10 hours to run the race. Together, the three runners who finished the race in 10 hours took a total of 10*3 = <<10*3=30>>30 hours. All eight runners took 30+40 = 70 hours altogether to finish the race. #### 70
Keaton climbed a 30 feet ladder twenty times while working at the construction site. Reece, also working at the same site, climbed a ladder a certain number feet shorter than Keaton's ladder 15 times. What's the total length of the ladders that both workers climbed in inches?
[ { "keywords": [ "a", "ladder", "feet", "shorter" ], "value": "4" } ]
If Keaton climbed his ladder twenty times, he covered a length of 30*20 = <<30*20=600>>600 feet. Reece's ladder, 4 feet shorter than Keaton's ladder, was 30-4 = <<30-4=26>>26 feet long. If Reece climbed the ladder 15 times, he covered a length of 15*26 = <<15*26=390>>390 feet. Keaton and Reece's total length covered while climbing the ladders is 390+600 = <<390+600=990>>990 feet. Since one foot is equal to 12 inches, the total length they climbed the ladders in inches is 12*990 = <<12*990=11880>>11880 inches. #### 11880
Emily makes $1,000,000 per year. If she has a certain number employees who make $20,000 per year, how much would her salary be if she took part of her salary to make sure all of her employees make $35,000 per year.
[ { "keywords": [ "she", "has", "employees", "who" ], "value": "10" } ]
Each employee needs $35,000-$20,000=$<<35000-20000=15000>>15,000 more per year. In total, Emily needs to pay $15,000*10=$<<15000*10=150000>>150,000 extra. Emily will need to have a new salary of $1,000,000-$150,000=$<<1000000-150000=850000>>850,000 per year. #### 850,000
Linda bought two coloring books at $a certain number each, 4 packs of peanuts at $1.50 each pack, and one stuffed animal. She gave the cashier $25 and got no change. How much does a stuffed animal cost?
[ { "keywords": [ "$4", "each,", "packs", "of" ], "value": "4" } ]
The two coloring books amount to 2 x $4 = $<<2*4=8>>8. The 4 packs of peanuts amount to 4 x $1.50 = $<<4*1.5=6>>6. The total cost for the coloring books and peanuts is $8 + $6 = $<<8+6=14>>14. Thus, the stuffed animal cost $25 - $14 = $<<25-14=11>>11. #### 11
Monika went out for the day and spent some money. She went to the mall and spent $250. Then, she went to the movies and watched a certain number movies back to back that each cost $24. Then she stopped by the farmer's market on her way home and got 20 bags of beans at $1.25/bag. How much money did Monika spend throughout her day?
[ { "keywords": [ "and", "watched", "movies", "back" ], "value": "3" } ]
Monika spent 24*3 = <<24*3=72>>72 dollars at the movies. Monika spent 20*1.25 = <<20*1.25=25>>25 dollars at the farmers market. Throughout her day, Monika spent 250+72+25 = <<250+72+25=347>>347 dollars. #### 347
Nurse Missy is attending to the needs of a certain number patients in her hospital ward. Most of her patients require standard care, but one-third of her patients have special dietary requirements, which increases the serving time by 20%. At dinner time, she brings each patient their meal. It takes a certain number minutes to serve each standard care patient. How long does it take, in minutes, for Missy to serve dinner to all of her patients?
[ { "keywords": [ "It", "takes", "minutes", "to" ], "value": "5" }, { "keywords": [ "needs", "of", "patients", "in" ], "value": "12" } ]
Nurse Missy has 12*(1/3)=<<12*(1/3)=4>>4 special needs patients. She has 12-4=<<12-4=8>>8 standard care patients. Special needs patients take 20% longer to serve, which means serving takes 1.2*5=6 minutes per patient. To serve dinner to all of her standard care patients, it will take 5*8=<<5*8=40>>40 minutes. To serve dinner to all of her special needs patients, it will take 6*4=<<6*4=24>>24 minutes. In total, it will take 40+24=<<40+24=64>>64 minutes to serve dinner to all of her patients. #### 64
Ronald can grill a certain number hamburgers per session on his new grill. He needs to cook a certain number hamburgers in total for tonight's party. He has already cooked 40 hamburgers. How many more sessions will it take Ronald to finish cooking all 115 hamburgers?
[ { "keywords": [ "can", "grill", "hamburgers", "per" ], "value": "15" }, { "keywords": [ "cooking", "all", "hamburgers?" ], "value": "115" } ]
He has to cook 115 hamburgers and has already cooked 40 so he needs to cook 115-40 = <<115-40=75>>75 more hamburgers He can only cook 15 hamburgers at a time so that means he has to cook 75/15 = <<75/15=5>>5 more cooking sessions #### 5
TJ ran a a certain number race last Saturday. He ran the first half in 20 minutes. He completed the second half in a certain number minutes. What was his average time per kilometer?
[ { "keywords": [ "half", "in", "minutes.", "What" ], "value": "30" }, { "keywords": [ "ran", "a", "race", "last" ], "value": "10K" } ]
He ran the 10 kilometers in a total of 20 + 30 = <<20+30=50>>50 minutes. Therefore, he ran at a pace of 50 minutes / 10 kilometers = <<50/10=5>>5 minutes per kilometer. #### 5
Alison bought some storage tubs for her garage. She bought a certain number large ones and a certain number small ones, for $48 total. If the large tubs cost $6, how much do the small ones cost?
[ { "keywords": [ "ones", "and", "small", "ones," ], "value": "6" }, { "keywords": [ "She", "bought", "large", "ones" ], "value": "3" } ]
Let t be the price of the small tubs 3*6+6*t=48 18+6*t=48 6*t=48-18=30 6t=30 t=<<5=5>>5 dollars for each small tub #### 5
There are a certain number more buyers in the grocery store today than yesterday. There were half the number of buyers yesterday as there were the day before, and the day before had 50 buyers. Nobody visited the store on more than one day. What's the total number of buyers who've visited the store in the three days?
[ { "keywords": [ "There", "are", "more", "buyers" ], "value": "40" } ]
If yesterday the number of buyers was half the number of buyers the day before, then yesterday there were 1/2*50 = <<1/2*50=25>>25 buyers. Today has 40 more buyers than yesterday, so there were 40+25 = <<40+25=65>>65 buyers today. The total number of buyers in the store for the three days will be 65+25+50 = <<65+25+50=140>>140 buyers #### 140
A store owner buys clothes wholesale and adds a certain number to the wholesale price to set the retail price. The retail price of a pair of pants is $36. What is the wholesale price?
[ { "keywords": [ "and", "adds", "to", "the" ], "value": "80%" } ]
Let X be the wholesale price. The retail price of a pair of pants is X + X*80% = $36. Thus 1.8*X = $36. Thus X = $36 / 1.8 = $20. #### 20
Suraya picked a certain number apples more than Caleb, and Caleb picked 5 apples less than Kayla. If Kayla picked 20 apples, how many more apples did Suraya pick than Kayla?
[ { "keywords": [ "Suraya", "picked", "apples", "more" ], "value": "12" } ]
Caleb picked 20 - 5 = <<20-5=15>>15 apples. Suraya picked 12 + 15 = <<12+15=27>>27 apples. Suraya picked 27 - 20 = <<27-20=7>>7 apples more than Kayla #### 7
James buys a certain number CDs. Two of them are 1.5 hours each. The last one is twice that long. What is the combined length of the CDs?
[ { "keywords": [ "James", "buys", "CDs.", "Two" ], "value": "3" } ]
The long CD is 1.5*2=<<1.5*2=3>>3 hours The two shorter CDs have a combined length of 1.5*2=<<1.5*2=3>>3 hours So in total the CDs had a length of 3+3= <<3+3=6>>6 hours #### 6
John decides to learn how to play the piano. He buys a piano for $500. He then hires a teacher for a certain number lessons at $40 per lesson but ends up getting a 25% discount. How much did everything cost?
[ { "keywords": [ "teacher", "for", "lessons", "at" ], "value": "20" } ]
The normal price of the lessons would be 20*40=$<<20*40=800>>800 The discount saves him 800*.25=$<<800*.25=200>>200 So the lessons cost him 800-200=$<<800-200=600>>600 That means everything costs 500+600=$<<500+600=1100>>1100 #### 1100
Patrick is half the age of his elder brother Robert. If Robert will turn a certain number after a certain number years, how old is Patrick now?
[ { "keywords": [ "will", "turn", "after", "2" ], "value": "30" }, { "keywords": [ "30", "after", "years,", "how" ], "value": "2" } ]
The age of Robert now is 30 - 2 = <<30-2=28>>28 years old. So, Patrick is 28 / 2 = <<28/2=14>>14 years old. #### 14
On Monday, Matt worked for a certain number minutes in his office. On Tuesday, he worked half the number of minutes he worked on Monday. On Wednesday, he worked for 300 minutes. How many more minutes did he work on Wednesday than on Tuesday.
[ { "keywords": [ "worked", "for", "minutes", "in" ], "value": "450" } ]
On Tuesday Matt worked 450 minutes / 2 = <<450/2=225>>225 minutes. On Wednesday Matt worked 300 minutes - 225 minutes = <<300-225=75>>75 minutes more. #### 75
It takes David 10 minutes to wash a certain number windows. David's house has 64 windows. How many minutes will it take David to wash all of the windows?
[ { "keywords": [ "to", "wash", "windows.", "David's" ], "value": "4" } ]
It takes 10 minutes to wash 4 windows and he has 64 windows so that breaks down to 64/4 = 16 units It takes 10 minutes to wash a unit of windows and he has 16 units so 10*16 = <<10*16=160>>160 minutes #### 160
Anna baked 60 cupcakes. She gives away a certain number of the cupcakes to her classmates. Of the remaining a certain number of cupcakes, she eats 3 cupcakes. How many cupcakes does she have left?
[ { "keywords": [ "gives", "away", "of", "the" ], "value": "4/5" }, { "keywords": [ "the", "remaining", "of", "cupcakes," ], "value": "1/5" } ]
After giving away 4/5 of the cupcakes, Anna has 60 / 5 = <<60/5=12>>12 cupcakes After eating 3 cupcakes, Anna has 12 - 3 = <<12-3=9>>9 cupcakes. #### 9
Nico borrows 3 books from the library on Monday. On Monday, he reads the first book with a total of 20 pages. On Tuesday, he reads the second book with a total of 12 pages. On Wednesday, he reads the third book. If he has read a total of a certain number pages from Monday to Wednesday, how many pages did he read on Wednesday?
[ { "keywords": [ "total", "of", "pages", "from" ], "value": "51" } ]
From Monday to Tuesday, Nico reads a total of 20 + 12 = <<20+12=32>>32 pages. On Wednesday, he read a total of 51 - 32 = <<51-32=19>>19 pages. #### 19
Daniela goes shopping during a sale. She finds out that the store has 40 percent off on shoes and a certain number0 percent off dresses. If Daniela buys 2 pairs of shoes originally priced at $50 a pair and a dress originally priced at $100, how much money does she spend?
[ { "keywords": [ "Daniela", "buys", "pairs", "of" ], "value": "2" } ]
Two pairs of shoes at $50 a pair costs $50 x 2 = $<<50*2=100>>100. The shoes are discounted by 40 percent so she only pays 100 - 40 = <<100-40=60>>60 percent of the original price. Therefore the two pairs of shoes cost $100 x 0.60 = $<<100*0.60=60>>60. The dress is discounted by 20 percent so she only pays 100 - 20 = <<100-20=80>>80 percent of the original price. Therefore the dress costs $100 x 0.80 = $<<100*0.80=80>>80. In total Daniela spends $60 + $80 = $<<60+80=140>>140 for two pairs of shoes and a dress. #### 140
Nellie can eat a certain number sourball candies before crying. Jacob can only manage half of that number of candies, and Lana can only do three fewer than Jacob. They had a bucket of 30 candies, and all of them ate until they cried. If they divide the remaining candies in the bucket equally, how many sourball candies will they each get?
[ { "keywords": [ "can", "eat", "sourball", "candies" ], "value": "12" } ]
Jacob can eat 12 / 2 = <<12/2=6>>6 candies before crying. Lana can eat 6 - 3 = <<6-3=3>>3 candies before crying. Nellie, Jacob, and Lana all ate until they cried, so they ate 12 + 6 + 3 = <<12+6+3=21>>21 candies. Thus, there are 30 - 21 = <<30-21=9>>9 candies left in the bucket. After dividing the remaining candies equally, they will each get 9 / 3 = <<9/3=3>>3 sourball candies. #### 3
John sublets his apartment to a certain number people who each pay $400 per month. He rents the apartment for $900 a month. How much profit does he make in a year?
[ { "keywords": [ "apartment", "to", "people", "who" ], "value": "3" } ]
He gets 3*$400=$<<3*400=1200>>1200 per month So he gets 1200*12=$<<1200*12=14400>>14,400 per year So he pays 12*900=$<<12*900=10800>>10800 a year That means his profit is 14400-10800=$<<14400-10800=3600>>3600 per year #### 3600
In a northwestern town, it rained a certain number inches per day during the first a certain number days of November. For the remainder of the month, the average daily rainfall was twice the amount observed during the first 15 days. What is the total amount of rainfall for this town in November, in inches?
[ { "keywords": [ "the", "first", "days.", "What" ], "value": "15" }, { "keywords": [ "it", "rained", "inches", "per" ], "value": "4" } ]
Since November has 30 days, the town received 4 inches of rain for the first half of the month for 30/2 = 15 days. The total inches of rain that the town received for the 15 days is 15*4 = <<15*4=60>>60 inches. The rain falling in the town increased by 2*4 = <<2*4=8>>8 inches per day for the remaining half of the month. Therefore, for the rest of the month, the town received 8*15 = <<8*15=120>>120 inches of rain. The total amount of rain the town received in November is 120+60 = <<120+60=180>>180 inches #### 180
Oscar wants to train for a marathon. He plans to add a certain number of a mile each week until he reaches a a certain number0-mile run. How many weeks before the marathon should he start training if he has already run 2 miles?
[ { "keywords": [ "to", "add", "of", "a" ], "value": "2/3" }, { "keywords": [ "already", "run", "miles?" ], "value": "2" } ]
Oscar needs to increase his maximum running time from 20 - 2 = <<20-2=18>>18 miles. Oscar will need a total of 18 / ( 2 / 3 ) = <<18/(2/3)=27>>27 weeks to prepare. #### 27
Tony decided he wanted to be an astronaut. He went to college for 4 years to get a degree in science. He then went on to get a certain number more degrees in other fields for the same period of time. He also got a graduate degree in physics, which took another a certain number years. How many years in total did Tony go to school to be an astronaut?
[ { "keywords": [ "took", "another", "years.", "How" ], "value": "2" }, { "keywords": [ "to", "get", "more", "degrees" ], "value": "2" } ]
Tony got 3 degrees which each took 4 years, for 3*4=<<3*4=12>>12 years spent. He then got his graduate degree, which was another 2 years added to the previous total, for 12+2=<<12+2=14>>14 years in total. #### 14
Naomi is doing the wash. First she makes piles of different types, with one pile for towels, one for sheets, and one for clothes that need to be washed on the gentle cycle. The clothes take 30 minutes to wash. The towels take twice as long as the clothes to wash. The sheets take a certain number minutes less time to wash than the towels. How many minutes total will it take for Naomi to wash everything?
[ { "keywords": [ "sheets", "take", "minutes", "less" ], "value": "15" } ]
The clothes take 30 minutes to wash and the towels take twice as long, 30 x 2 = <<30*2=60>>60 minutes to wash the towels. The sheets take 15 minutes less than the towels, 60 - 15 = <<60-15=45>>45 minutes to wash the sheets. It takes 30 minutes + 60 minutes + 45 minutes = <<30+60+45=135>>135 minutes to wash everything. #### 135
Josh built his little brother a rectangular sandbox. The perimeter of the sandbox is a certain number feet and the length is twice the width. What is the width of the sandbox?
[ { "keywords": [ "sandbox", "is", "feet", "and" ], "value": "30" } ]
There are four sides to a rectangle, the width is W and so the length is 2W, and we can put that in this equation: W + W + 2W + 2W = 30 feet. If we add the sides together, we get 6W = 30 feet. To find W, we divide both sides by 6, like this: 6W / 6 = 30 feet / 6, so W = 5 feet. #### 5
Chad sandwiches 2 crackers with a scoop of peanut butter. He has a certain number of these crackers a night before bed. A box of crackers has 4 sleeves with each sleeve holding 28 crackers. How many nights will 5 boxes of crackers last him?
[ { "keywords": [ "nights", "will", "boxes", "of" ], "value": "5" } ]
Chad uses 2 crackers for each "sandwich" and has 5 sandwiches a night so he eats 2*5 = <<2*5=10>>10 crackers a night The box has 4 sleeves of crackers and each sleeve has 28 crackers for a total of 4*28 = <<4*28=112>>112 crackers 1 box has 112 crackers so 5 boxes will have 112*5 = <<112*5=560>>560 crackers He eats 10 crackers a night and 5 boxes have 560 crackers so they will last him 560//10 = <<560//10=56>>56 nights #### 56
Utopia National Park hosted 30,000 elephants on Friday night. The next morning, there was a a certain number elephant exodus out of the park, at a constant rate of 2,880 elephants/hour. Over the next 7-hour period, new elephants entered the park at a constant rate. If the final number of elephants in the park was a certain number at what rate did the new elephants enter the park?
[ { "keywords": [ "was", "a", "elephant", "exodus" ], "value": "4-hour" }, { "keywords": [ "park", "was", "at", "what" ], "value": "28,980," } ]
The Saturday morning exodus out of the park comprised 4*2880 = <<4*2880=11520>>11520 elephants This means that after the exodus, the park was left with 30000 - 11520 = <<30000-11520=18480>>18480 elephants Since the final number of elephants was 28,980, the new elephants that entered were 28980 - 18480 = <<28980-18480=10500>>10500 The rate at which the new elephants entered the park was therefore 10500/7 = <<10500/7=1500>>1500 elephants/hour #### 1500
Holly needs to take 2 insulin pills per day, a certain number blood pressure pills per day, and twice as many anticonvulsants as blood pressure pills each day. How many pills does Holly take in a week?
[ { "keywords": [ "per", "day,", "blood", "pressure" ], "value": "3" } ]
First find the number of anticonvulsant pills Holly takes: 3 pills * 2 = <<3*2=6>>6 pills Then find the total number of pills Holly takes each day: 6 pills + 2 pills + 3 pills = <<6+2+3=11>>11 pills Then multiply that number by the number of days in a week to find the number of pills Holly takes each week: 11 pills/day * 7 days/week = <<11*7=77>>77 pills/week #### 77
The girl scouts earned $30 total from selling delicious cookies. They want to go to the pool. It will cost them $2.50 per person to go and a certain number people are going. What is the amount left?
[ { "keywords": [ "go", "and", "people", "are" ], "value": "10" } ]
The girls paid $2.50/person * 10 people = $<<2.5*10=25>>25. The girls have $30 - $25 = $<<30-25=5>>5 left. #### 5
Sam works at the Widget Factory, assembling Widgets. He can assemble 1 widget every a certain number minutes. Jack from the loading dock can help assemble widgets when he doesn't have anything else to do. When he helps, they put together 2 complete widgets every 15 minutes. Recently the factory hired Tony to help assemble widgets. Being new to the job, he doesn't work as fast as Sam or Jack. Yesterday Sam worked for 6 hours before he had to leave work early for a dentist appointment. Jack was able to help out for 4 hours before he had to go back to the loading dock to unload a new shipment of widget materials. Tony worked the entire 8-hour shift. At the end of the day, they had completed 68 widgets. How long does it take Tony to assemble a Widget, in minutes?
[ { "keywords": [ "widget", "every", "minutes.", "Jack" ], "value": "10" } ]
Sam completes a widget every 10 minutes. When Jack helps they finish 2 in 15 minutes. Sam has finished 1 widget and has begun working on another one, and Jack finishes the second one at 15 minutes. So it takes Jack 15 minutes to complete a widget. Sam worked for 6 hours yesterday, so he was able to complete 6 hours * 60 minutes per hour / 10 minutes per widget = <<6*60/10=36>>36 widgets. Jack worked for 4 hours, so he was able to complete 4 hours * 60 minutes per hour / 15 minutes per widget = <<4*60/15=16>>16 widgets. Sam, Jack, and Tony were able to complete 68 widgets together. So of those, Tony personally completed 68 widgets - 36 widgets - 16 widgets = <<68-36-16=16>>16 widgets. It took Tony 8 hours to complete those 16 widgets, so he takes 8 hours * 60 minutes per hour / 16 widgets = <<8*60/16=30>>30 minutes per widget. #### 30
Karen is packing her backpack for a long-distance hike. She packs 20 pounds of water, 10 pounds of food, and 20 pounds of gear. During her hike, she drinks 2 pounds of water per hour and eats a certain number the weight of food per hour as water per hour. How much weight is she carrying after six hours?
[ { "keywords": [ "and", "eats", "the", "weight" ], "value": "1/3rd" } ]
First find the weight of food Karen eats every hour: 2 pounds * 1/3 = 2/3 pounds food. Then find the total amount of weight Karen's backpack loses per hour she hikes: 2 pounds water/hour + 2/3 pound food/hour = 8/3 pounds/hour. Multiply this by the number of hours she hikes to find the total amount of weight she loses: 8/3 pounds/hour * 6 hours = <<8/3*6=16>>16 pounds. Add the weight of all her items to find total starting weight: 20 pounds + 10 pounds + 20 pounds = <<20+10+20=50>>50 pounds. Then subtract the weight she loses from the starting weight to find the weight after 6 hours: 50 pounds - 16 pounds = <<50-16=34>>34 pounds #### 34
Kimberley, Ela, and Houston all are sent to collect firewood by their grammy. Kimberley collects ten pounds of firewood, and Houston collects 12 pounds of firewood. If the three of them managed to collect a total of a certain number pounds of firewood, how many pounds were collected by Ela?
[ { "keywords": [ "total", "of", "pounds", "of" ], "value": "35" } ]
Kimberley and Houston collected 10+12 = <<10+12=22>>22 pounds of firewood. You can find how much Ela collected by subtracting that amount from the total amount collected: 35-22 = <<35-22=13>>13 pounds. #### 13
A new movie gets released and makes $120 million in the box office for its opening weekend. It ends up making a certain number times that much during its entire run. If the production company gets to keep a certain number how much profit did they make if the movie cost $60 million to produce?
[ { "keywords": [ "to", "keep", "how", "much" ], "value": "60%," }, { "keywords": [ "up", "making", "times", "that" ], "value": "3.5" } ]
Over the movies run it made 120*3.5=<<120*3.5=420>>420 million So the production company made 420,000,000*.6=$<<420000000*.6=252000000>>252,000,000 So they got a profit of 252,000,000-60,000,000=$<<252000000-60000000=192000000>>192,000,000 #### 192000000
Omi is twice as old as Kimiko. Arlette is 3/4 times as old as Kimiko. If Kimiko is a certain number years old, calculate the average age of the three?
[ { "keywords": [ "Kimiko", "is", "years", "old," ], "value": "28" } ]
If Kimiko is 28, Omi is 2 * 28 years = <<28*2=56>>56 years old. Arlette is 3/4 * 28 years = <<3/4*28=21>>21 years old. If you add up their ages, it sums to 21 years + 56 years + 28 years = <<21+56+28=105>>105 years The average age for the three is 105 years / 3 people = <<105/3=35>>35 years/person #### 35
A hay farmer harvested a certain number60 bales of hay from 5 acres of grass per month last year. This year, he planted an additional 7 acres of grass. If the farmer also owns a certain number horses and each horse consumes 3 bales of hay a day, how many bales of hay would the farmer have left by the end of December if he starts feeding them this year's hay beginning the first day of September?
[ { "keywords": [ "also", "owns", "horses", "and" ], "value": "9" }, { "keywords": [ "hay", "from", "acres", "of" ], "value": "5" } ]
For every acre of grass, the farmer can harvest 560/5 = <<560/5=112>>112 bales of hay each month. This year, the farmer has 7 + 5 = <<7+5=12>>12 acres of grass. He can expect to harvest 12 x 112 = <<12*112=1344>>1344 bales of hay per month. The total hay production this year is 1344*12 = <<1344*12=16128>>16128 From September to December, the farmer would have to feed his horses for a total of 30 + 31 + 30 + 31 = <<30+31+30+31=122>>122 days Each day his horse eats a total of 3*9 = <<3*9=27>>27 bales of hay. For the 122 days, the horses will eat a total of 27*122 = <<27*122=3294>>3294 bales. The total number of bales remaining will be 16128-3294 = <<16128-3294=12834>>12834. #### 12834
A river is to be used for a boat race. If each boat is a certain number feet across and they must have at least 2 feet between them or the riverbank, how many boats can race in a river that is a certain number feet across?
[ { "keywords": [ "that", "is", "feet", "across?" ], "value": "42" }, { "keywords": [ "boat", "is", "feet", "across" ], "value": "3" } ]
Each boat will require 3 feet across to fit itself and 2 feet space on one side for a total of 2+3 = <<3+2=5>>5 feet per boat The last boat will need an additional 2 feet space on its other side, so this 2 feet should be subtracted first from the 42 feet which leaves 42-2 = <<42-2=40>>40 feet 5 feet per boat on the remaining 40 feet for a total of 40/5 = <<40/5=8>>8 boats #### 8
Joseph and his friends watched two movies in his house. The first movie is a certain number hour and a certain number minutes long while the second movie is 30 minutes longer than the first. Before the movies, they spent 10 minutes making popcorn and twice as long making fries. How long, in hours, did it take Joseph and his friends to cook and watch the movies?
[ { "keywords": [ "hour", "and", "minutes", "long" ], "value": "30" }, { "keywords": [ "movie", "is", "hour", "and" ], "value": "1" } ]
The first movie was 60 + 30 = <<60+30=90>>90 minutes long since an hour has 60 minutes. The second movie was 90 + 30 = <<90+30=120>>120 minutes long. It took them a total of 90 + 120 = <<90+120=210>>210 minutes to watch the two movies. It took them 10 x 2 = <<10*2=20>>20 minutes to cook the fries. Thus, it took them a total of 10 + 20 = <<10+20=30>>30 minutes to cook. So, they spent 210 + 30 = <<210+30=240>>240 minutes watching the movies and cooking. In hours, this is equal to 240/60 = <<240/60=4>>4 hours. #### 4
Eustace is twice as old as Milford. In 3 years, he will be a certain number How old will Milford be?
[ { "keywords": [ "will", "be", "How", "old" ], "value": "39." } ]
Eustace’s current age must be 39 years old – 3 years = <<39-3=36>>36 years old. So Milford’s current age must be 36 years old / 2 = <<36/2=18>>18 years old. So in 3 years, Milford will be 18 years old + 3 years = <<18+3=21>>21 years old. #### 21
Three adults whose average weight is a certain number pounds went first in the elevator. Two children whose average weight is a certain number pounds also went inside. If an elevator sign reads “Maximum weight 600 pounds.", what is the maximum weight of the next person to get in the elevator so that it will not be overloaded?
[ { "keywords": [ "weight", "is", "pounds", "also" ], "value": "64" }, { "keywords": [ "weight", "is", "pounds", "went" ], "value": "140" } ]
The sum of the weights of the three adults is 140 x 3 = <<140*3=420>>420 pounds. The sum of the weight of the two children is 64 x 2 = <<64*2=128>>128 pounds. So the total weight of the 5 people who are in the elevator is 420 + 128 = <<420+128=548>>548 pounds. This would mean that the next person's weight must not exceed 600 - 548 = <<600-548=52>>52 pounds. #### 52
Frank needs to meet a quota at work for his sales. It’s the beginning of the month and in a certain number0 days he needs to have a certain number cars sold. The first three days he sold 5 cars each day. Then the next 4 days he sold 3 cars each day. If the month is 30 days long how many cars does he need to sell for the remaining days to meet his quota?
[ { "keywords": [ "he", "sold", "cars", "each" ], "value": "3" }, { "keywords": [ "to", "have", "cars", "sold." ], "value": "50" } ]
On days one, two, and three he sold 5 cars each day so, 5 cars + 5 cars + 5 cars = <<5+5+5=15>>15 cars that he sold on those days. On days 4,5,6 and 7 he sold 3 cars each day so, 3 cars + 3 cars + 3 cars + 3 cars = <<3+3+3+3=12>>12 cars that he sold on those days. Now we combine the cars he has already sold, which is 15 cars, and 12 cars, so 15 cars + 12 cars = <<15+12=27>>27 cars are sold in total. If he needs to sell 50 cars and has already sold 27 cars then 50 cars - 27 cars = <<50-27=23>>23 cars left to sell to meet his quota. #### 23
Mark wants to set the record for most consecutive ropes jumped. The record is 54,000. He can jump a certain number times a second. How many hours would he need to jump rope?
[ { "keywords": [ "can", "jump", "times", "a" ], "value": "3" } ]
He can jump 3*60=<<3*60=180>>180 times per minute So he can jump 180*60=<<180*60=10800>>10,800 per hour So it would take him 54,000/10,800=<<54000/10800=5>>5 hours #### 5
Max has a certain number children and each of his children has the same number of children as he does except for 2 who have 5 children each. How many grandchildren does he have?
[ { "keywords": [ "Max", "has", "children", "and" ], "value": "8" } ]
Out of his 8 children, 2 have only 5 children so the rest who have 8 ( the same number as him) are 8-2 = <<8-2=6>>6 6 of Max's children have 8 children each for a total of 6*8 = <<6*8=48>>48 grandchildren 2 of Max's children have 5 children each for a total of 5*2 = <<5*2=10>>10 grandchildren In total he has 48+10 = <<48+10=58>>58 grandchildren #### 58
Uncle Jude baked 256 cookies. He gave a certain number cookies to Tim, 23 cookies to Mike, kept some in the fridge and gave the rest to Anna. How many cookies did he put in the fridge if he gave twice as many cookies as he gave Tim to Anna?
[ { "keywords": [ "He", "gave", "cookies", "to" ], "value": "15" } ]
He gave twice 15 cookies to Anna which is 2*15 = <<2*15=30>>30 cookies He gave out a total of 15+23+30 = <<15+23+30=68>>68 cookies The remainder in the fridge is 256-68 = <<256-68=188>>188 cookies #### 188
Ryan has a certain number balls. There are twice as many red balls as blue while the rest are green. If there are a certain number blue balls, how many green balls are there?
[ { "keywords": [ "there", "are", "blue", "balls," ], "value": "11" }, { "keywords": [ "Ryan", "has", "balls.", "There" ], "value": "40" } ]
There are 11 blue x 2 red/blue = <<11*2=22>>22 red balls. The total number of blue and red balls is 11 blue + 22 red = <<11+22=33>>33 balls There are 40 balls - 33 balls = <<40-33=7>>7 green balls. #### 7
John drinks a certain number energy drinks. 1 of them is a 12-ounce drink with 250 grams of caffeine. The second drink is a certain number times more caffeinated per ounce but only 2 ounces. He then takes a caffeine pill that has as much caffeine as his 2 drinks combined. How much caffeine did he consume?
[ { "keywords": [ "drink", "is", "times", "more" ], "value": "3" }, { "keywords": [ "but", "only", "ounces.", "He" ], "value": "2" } ]
The second drink was 2/12=1/6 the size of the first drink So it had 1/6*3=1/2 the caffeine That means it had 1/2*250=<<250/2=125>>125 grams of caffeine So the total amount of caffeine he drank was 125+250=<<125+250=375>>375 grams So he consumed 375*2=<<375*2=750>>750 grams of caffeine for the day #### 750
Bert's golden retriever has grown tremendously since it was a puppy. At 7 weeks old, the puppy weighed 6 pounds, but doubled in weight by week 9. It doubled in weight again at 3 months old, and doubled again at a certain number months old. Finally, the dog reached its final adult weight by adding another 30 pounds by the time it was one year old. What is the dog's full adult weight, in pounds?
[ { "keywords": [ "again", "at", "months", "old." ], "value": "5" } ]
At 7 weeks old, the puppy weighed 6 pounds, but doubled in weight by week 9 to reach a weight of 6*2=<<6+6=12>>12 pounds. It doubled in weight again at 3 months old to reach a weight of 12*2=<<12*2=24>>24 pounds. It doubled in weight again at 5 months old to reach a weight of 24*2=<<24*2=48>>48 pounds. And it reached its full adult weight by adding another 30 lbs to reach a final weight of 48+30=78 pounds. #### 78
In mid-May, the river flowing through Moreland is five feet deep. By mid-June, the river is a certain number feet deeper than mid-May. By mid-July, the river is three times deeper than mid-June. How many feet deep is the river by mid-July?
[ { "keywords": [ "river", "is", "feet", "deeper" ], "value": "10" } ]
In mid-June, the river is 5+10=<<5+10=15>>15 feet deep. In mid-July, the river is 15*3=<<15*3=45>>45 feet deep. #### 45
Jim buys a package of a certain number car washes. Since He bought a package he only has to pay a certain number A carwash normally costs 15 dollars. How much did he pay for the package?
[ { "keywords": [ "package", "of", "car", "washes." ], "value": "20" }, { "keywords": [ "to", "pay", "A", "carwash" ], "value": "60%." } ]
He had to pay for 20*.6=<<20*.6=12>>12 car washes That means he had to pay 12*15=$<<12*15=180>>180 #### 180
Kenny played a certain number hours of basketball last week. He ran for twice as long as he played basketball, and he practiced on the trumpet for twice as long as he ran. How many hours did Kenny practice on the trumpet last week?
[ { "keywords": [ "Kenny", "played", "hours", "of" ], "value": "10" } ]
Kenny ran for 10*2=<<10*2=20>>20 hours. Kenny practiced the trumpet for 20*2=<<20*2=40>>40 hours. #### 40
Miriam spent a certain number minutes doing laundry, 15 minutes cleaning the bathroom, a certain amount of time cleaning her room, and a certain number minutes doing homework. If she spent a total of two hours on these tasks, how long, in minutes, did she spend cleaning her room?
[ { "keywords": [ "Miriam", "spent", "minutes", "doing" ], "value": "30" }, { "keywords": [ "room,", "and", "minutes", "doing" ], "value": "40" } ]
There are 30+15+40=<<30+15+40=85>>85 minutes accounted for. She spent 2*60=<<2*60=120>>120 minutes. She spent 120-85=<<120-85=35>>35 minutes cleaning her room. #### 35
Mrs. Wilsborough saved $500 to buy concert tickets for her family. She bought 2 VIP tickets at $100 each and a certain number regular tickets at $50 each. How much of her savings does Mrs. Wilsborough have after she buys the tickets?
[ { "keywords": [ "each", "and", "regular", "tickets" ], "value": "3" } ]
The 2 VIP tickets amount to $100 x 2 = $<<100*2=200>>200. The 3 regular tickets amount to $50 x 3 = $<<50*3=150>>150. Thus, the total cost of the tickets is $200 + $150 = $<<200+150=350>>350. Therefore, Mrs. Wilsborough is left with $500 - $350 = $<<500-350=150>>150 of her savings. #### 150
Mom went shopping at the market. She left with €55. She bought a certain number packs of bananas for €4 each, pears for €2, asparagus for €6 and finally a chicken for €11. How much money does Mom have left?
[ { "keywords": [ "She", "bought", "packs", "of" ], "value": "2" } ]
Mom bought things that cost: 4 + 4 + 2 + 6 + 11 = €<<4+4+2+6+11=27>>27 . So she has 55 – 27 = €<<55-27=28>>28 left #### 28
Rose had 10 kilograms of rice. She cooked 9/10 kilograms in the morning and a certain number of the remaining in the evening. How many grams of rice did she have left?
[ { "keywords": [ "morning", "and", "of", "the" ], "value": "1/4" } ]
Rose cooked 10 x 9/10 = <<10*9/10=9>>9 kilograms of rice in the morning. She had 10 - 9 = <<10-9=1>>1 kilogram of rice left then. One kilogram is equal to 1 x 1000 = <<1*1000=1000>>1000 grams. So, Rose cooked 1000 x 1/4 = <<1000*1/4=250>>250 grams of rice in the evening. Therefore, she has 1000 - 250 = <<1000-250=750>>750 grams of rice left. #### 750
Calvin and Paislee played a pool game where points were awarded for winning a round. If Calvin had scored a certain number points and Paislee 3/4 times as many points as Calvin, how many points was Paislee required to achieve to have a chance of tying the game?
[ { "keywords": [ "had", "scored", "points", "and" ], "value": "500" } ]
If Calvin had scored 500 points and Paislee 3/4 times as many points as Calvin, Paislee had scored 3/4*500=375 points. To have a chance of tying the game, Paislee had to score 500-375=<<500-375=125>>125 points #### 125
There is three less than four times the number of students in Elementary School as there are in Middle School. If the number of students in Middle school is a certain number calculate the total number of students in both levels.
[ { "keywords": [ "school", "is", "calculate", "the" ], "value": "50," } ]
The number of students in elementary school is three less than four times the number in middle school: 4 * 50 students = 200 students. This means that there are 200 students - 3 students = <<200-3=197>>197 students in Elementary school. The total number of students in both levels is 197 students + 50 students = <<197+50=247>>247 students #### 247
Ever since she was a little girl, Sheila has dreamed of traveling the world. To help fund her dream, she bought a large piggy bank in December and started saving. By last week, she had saved $3,000. Pleased with her progress, she has decided to continue saving $276 per month, for a certain number years. Today, Sheila’s family secretly added $7,000 into the piggy bank. At the end of 4 years, how much money will be in Sheila’s piggy bank?
[ { "keywords": [ "month,", "for", "years.", "Today," ], "value": "4" } ]
Today, Sheila’s piggy bank has $3000 + $7000 = $<<3000+7000=10000>>10000 Sheila will be saving for 4 years which is equivalent to 12 months/year * 4 years = <<12*4=48>>48 months In 4 years, she will save $276/month * 48 months = $<<276*48=13248>>13248 The piggy bank will have a total of $10,000 + $13,248 = $<<10000+13248=23248>>23248 #### 23248
A frog lays her eggs over a series of 4 days. The first day she lays 50 eggs. The second day, she doubles her production of eggs. The third day she lays a certain number more than the second day, and the last day she doubles the first three days total. How many eggs did the frog lay over the span of the 4 days?
[ { "keywords": [ "she", "lays", "more", "than" ], "value": "20" } ]
Day 1:50 Day 2:50(2)=100 Day 3:100+20=<<100+20=120>>120 Day 4:2(50+100+120)=540 Total:50+100+120+540=<<50+100+120+540=810>>810 eggs #### 810
In the school's library, there are a certain number different books. 80% of all the books are in English, but only 60% of these books were published in the country. How many English-language books have been published outside the country?
[ { "keywords": [ "there", "are", "different", "books." ], "value": "2300" } ]
There are 80/100 * 2300 = <<80/100*2300=1840>>1840 books in English at the library. Out of these books, only 60/100 * 1840 = <<60/100*1840=1104>>1104 were published inside the country. So there are 1840 - 1104 = <<1840-1104=736>>736 books in English published outside of the country. #### 736
Tanya went to the grocery store to buy some fruit. She bought a certain number pears, a certain number Granny Smith apples, 2 pineapples, and a small basket of plums, which were all placed in a single paper bag. Unfortunately, the bag that the fruit had been placed in had developed a hole. Therefore, as Tanya walked home, half of the fruit fell out of the bag. When she later counted the fruit left in the bag, there were only 9 pieces remaining. How many plums did she buy?
[ { "keywords": [ "She", "bought", "pears,", "4" ], "value": "6" }, { "keywords": [ "6", "pears,", "Granny", "Smith" ], "value": "4" } ]
If half of the fruit equals 9 pieces, then Tanya bought 2*9=<<2*9=18>>18 pieces of fruit. Thus, Tanya bought 18-6-4-2=<<18-6-4-2=6>>6 plums. #### 6
Javier has a wife and a certain number children. They have a certain number dogs and 1 cat. Including Javier, how many legs are there in total in Javier’s household?
[ { "keywords": [ "They", "have", "dogs", "and" ], "value": "2" }, { "keywords": [ "wife", "and", "children.", "They" ], "value": "3" } ]
For the humans in the house, there are 5 * 2 = <<5*2=10>>10 legs Javier has a total of 2 + 1 = <<2+1=3>>3 four-legged pets For the pets in the house, there are 3 * 4 = <<3*4=12>>12 legs There are a total of 10 + 12 = <<10+12=22>>22 legs #### 22
Tina is getting $a certain number0 for each book she sells. If she realizes a $120 profit on her sales, how many people have she sold the books to if each book costs $5 to make and every customer buys 2 at a time?
[ { "keywords": [ "customer", "buys", "at", "a" ], "value": "2" } ]
First, we need to determine the profit per book. To do this, we perform 20-5=<<20-5=15>>15 dollars in profit per book. Next, we divide the total sales by the profit per book, performing 120/15=<<120/15=8>>8 books sold in total. Since the books are sold 2 at a time, we divide the number sold by 2 to find the total number of people sold to, performing 8/2=<<8/2=4>>4 people in total. #### 4
Michael loves to paint and sells his creations. He charges $100 for a large painting and $a certain number0 for a small painting. At his last art show, he sold a certain number large paintings and 8 small paintings. How much did he earn in all?
[ { "keywords": [ "he", "sold", "large", "paintings" ], "value": "5" }, { "keywords": [ "paintings", "and", "small", "paintings." ], "value": "8" } ]
He earned 5 x $100 = $<<5*100=500>>500 for the large painting. And he earned 8 x $80 = $<<8*80=640>>640 for the small paintings. Therefore, he earned a total of $500 + $640 = $<<500+640=1140>>1140 in all. #### 1140
Calvin has been saving his hair clippings after each haircut to make a wig for his dog. He has gotten 8 haircuts and knows that he needs a certain number more to reach his goal. What percentage towards his goal is he?
[ { "keywords": [ "he", "needs", "more", "to" ], "value": "2" } ]
His goal is 10 haircuts because 8 + 2 = <<8+2=10>>10 He is 80% there because (8 / 10) x 100 = <<(8/10)*100=80>>80 #### 80
Catherine had an equal number of pencils and pens. If she had a certain number pens and gave eight pens and a certain number pencils to each of her seven friends and kept the rest for herself, how many pens and pencils did she have left?
[ { "keywords": [ "she", "had", "pens", "and" ], "value": "60" }, { "keywords": [ "pens", "and", "pencils", "to" ], "value": "6" } ]
Catherine gave eight pens to each of her seven friends, a total of 8*7 = <<8*7=56>>56 pens. She remained with 60-56 = <<60-56=4>>4 pens. When she also gave 6 pencils to each of her seven friends, she gave away 6*7 = <<6*7=42>>42 pencils. Since she had the same number of pencils as pens, she remained with 60-42 = <<60-42=18>>18 pencils. The total number of pens and pencils that Catherine remained with is 4+18 = <<4+18=22>>22 #### 22
Lao is farming chickens. He can sell each chicken for $1.50. A bag of chicken feed weighs a certain number pounds and costs $a certain number. Each chicken will need 2 pounds of feed from the time it hatches to the time he sells it. If he makes $65 profit from selling chickens, how many did he sell?
[ { "keywords": [ "feed", "weighs", "pounds", "and" ], "value": "20" }, { "keywords": [ "will", "need", "pounds", "of" ], "value": "2" } ]
A bag of feed is enough for 10 chickens because 20 / 2 = <<20/2=10>>10 Each chicken costs $.2 to raise because 2 / 10 = <<2/10=.2>>.2 Each chicken results in $1.3 of profit because 1.5 - .2 = <<1.5-.2=1.3>>1.3 He sells 50 chickens because 65 / 1.3 = <<65/1.3=50>>50 #### 50