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Josh had a certain number0 gummy bear candies. He decided to give his 3 siblings 10 candies each. Then he gave half of the remaining candies to his best friend. If he only wants to eat a certain number gummy bear candies, how many candies are left to be shared with others?
|
[
{
"keywords": [
"3",
"siblings",
"candies",
"each."
],
"value": "10"
},
{
"keywords": [
"to",
"eat",
"gummy",
"bear"
],
"value": "16"
}
] |
Josh gave a total of 3 x 10 = <<3*10=30>>30 candies to his siblings.
He was then left with 100 - 30 = <<100-30=70>>70 candies.
He gave 70/2 = <<70/2=35>>35 candies to his best friend.
So he had 70 - 35 = <<70-35=35>>35 candies left.
Since he only wants to eat 16 candies, there are still 35 - 16 = <<35-16=19>>19 candies left to be shared with others.
#### 19
|
Olivia earns $9 per hour. She worked 4 hours on Monday, 3 hours on Wednesday and a certain number hours on Friday. How much money did Olivia make this week?
|
[
{
"keywords": [
"Wednesday",
"and",
"hours",
"on"
],
"value": "6"
}
] |
Olivia made $9 * 4 hours = $<<9*4=36>>36 on Monday.
Olivia made $9 * 3 = $<<9*3=27>>27 on Wednesday.
Olivia made $9 * 6 hours = $<<9*6=54>>54 on Friday.
For the week Olivia made $36 + $27 + $54 = $<<36+27+54=117>>117.
#### 117
|
Tanika is selling boxes of crackers for her scout troop's fund-raiser. On Saturday, she sold a certain number boxes. On Sunday, she sold a certain number more than on Saturday. How many boxes did she sell, in total, over the two days?
|
[
{
"keywords": [
"she",
"sold",
"more",
"than"
],
"value": "50%"
},
{
"keywords": [
"she",
"sold",
"boxes.",
"On"
],
"value": "60"
}
] |
She sold 60*1.50=<<60*1.50=90>>90 boxes on Sunday.
The total is 60+90=<<60+90=150>>150 boxes.
#### 150
|
Fred spent half of his allowance going to the movies. He washed the family car and earned a certain number dollars. What is his weekly allowance if he ended with a certain number dollars?
|
[
{
"keywords": [
"and",
"earned",
"dollars.",
"What"
],
"value": "6"
},
{
"keywords": [
"ended",
"with",
"dollars?"
],
"value": "14"
}
] |
Before washing the car Fred had $14 - $6 = $<<14-6=8>>8.
Fred spent half his allowance for the movies, so 2 * $8 = $<<2*8=16>>16 allowance.
#### 16
|
If there are two pennies in each of the twelve compartments of Roshesmina's piggy bank and she adds a certain number more pennies to each compartment, calculate the total number of pennies she has?
|
[
{
"keywords": [
"she",
"adds",
"more",
"pennies"
],
"value": "6"
}
] |
In each compartment, there are two pennies, and when she adds 6 pennies to each compartment, one compartment will have 6+2 = 8 pennies.
If there are 12 compartments, and each compartment now contains 8 pennies, there are a total of 12*8 = <<12*8=96>>96 pennies in all the compartments.
#### 96
|
Zig wrote four times as many books as Flo. If Zig wrote a certain number books, how many books did they write altogether?
|
[
{
"keywords": [
"Zig",
"wrote",
"books,",
"how"
],
"value": "60"
}
] |
If Zig wrote 60 books, four times as many books as Flo, Flo wrote 60/4=<<60/4=15>>15 books
Together, they wrote 60+15=<<60+15=75>>75 books.
#### 75
|
Pete has to take a 10-minute walk down to the train station and then board a a certain number 20-minute train to LA. When should he leave if he cannot get to LA later than 0900 hours? (24-hr time)
|
[
{
"keywords": [
"board",
"a",
"20-minute",
"train"
],
"value": "1hr"
}
] |
There are 60 minutes in an hour so 1 hour 20 minutes = (60+20) minutes = 80 minutes
He will spend a total of 80+10 = <<80+10=90>>90 minutes
90 minutes is = (60/60) hours and 30 minutes = 1 hour 30 minutes = 0130 in 24-hr time
He has to leave 0130 hours earlier than 0900 i.e. 0900-0130 = 0730 hours
#### 730
|
Sara is checking out two different stores to buy a computer. The first store offers a device for $950 with a a certain number discount. The second sells the same computer for €920 with a 5% discount. What is the difference in price between the two stores?
|
[
{
"keywords": [
"with",
"a",
"discount.",
"The"
],
"value": "6%"
}
] |
The amount of discount in the first store 950 x 6/100 = $<<950*6/100=57>>57.
So, the device costs 950 - 57 = $<<950-57=893>>893 in the first store.
The amount of discount in the second store is 920 x 5/100 = $<<920*5/100=46>>46.
So, the device costs 920 - 46 = $<<920-46=874>>874 in the second store.
The difference in price is 893 - 874 = $<<893-874=19>>19.
#### 19
|
Elizabeth uses $3.00 worth of ingredients to make a bag of granola. She makes a certain number bags and sells them for $6.00 a bag at the farmer's market. An hour before closing, she has sold a certain number bags and marks the remaining 5 bags down to $4.00 and sells them soon after. What is her net profit?
|
[
{
"keywords": [
"has",
"sold",
"bags",
"and"
],
"value": "15"
},
{
"keywords": [
"She",
"makes",
"bags",
"and"
],
"value": "20"
}
] |
She uses $3.00 of ingredients per 1 bag of granola and she makes 20 bags so she spends 3*20 = $<<3*20=60.00>>60.00 on ingredients
She sells 15 bags for $6.00 so she makes 15*6 = $<<15*6=90.00>>90.00
She sells her last 5 bags for $4.00 so she makes 5*4 = $<<5*4=20.00>>20.00
She made $90.00 and $20.00 for a total of 90+20 = $<<90+20=110.00>>110.00
She made $110.00 but spent $60.00 on ingredients so her net profit is 110-60 = $<<110-60=50.00>>50.00
#### 50
|
Abe finds a certain number ants on the sidewalk. Beth sees 50% more ants than Abe. CeCe watches twice as many ants as Abe. Duke discovers half as many ants as Abe. How many ants do the four children find together?
|
[
{
"keywords": [
"Abe",
"finds",
"ants",
"on"
],
"value": "4"
}
] |
Beth finds 4 + 2 = <<4+2=6>>6 ants.
CeCe finds 4 x 2 = <<4*2=8>>8 ants.
Duke finds 4 / 2 = <<4/2=2>>2 ants.
The four children find 4 + 6 + 8 + 2 = <<4+6+8+2=20>>20 ants.
#### 20
|
There are a certain number different nuts in a bowl. If 5/6 of the nuts were eaten, how many nuts were left?
|
[
{
"keywords": [
"There",
"are",
"different",
"nuts"
],
"value": "30"
}
] |
30 x 5/6 = <<30*5/6=25>>25 nuts were eaten.
Thus, 30 - 25 = <<30-25=5>>5 nuts were left.
#### 5
|
Harry has a certain number books in his library. His sister Flora has twice as many books and their cousin Gary has half the books Harry has. How many books do the three of them own together?
|
[
{
"keywords": [
"Harry",
"has",
"books",
"in"
],
"value": "50"
}
] |
Flora has 50*2= <<50*2=100>>100 books
Gary has 50/2= <<50/2=25>>25 books
Together they own 100+25+50= <<100+25+50=175>>175 books
#### 175
|
A rectangular flowerbed in the city park is a certain number meters wide. Its length is a certain number meter less than twice its width. The government wants to fence the flowerbed. How many meters of fence are needed?
|
[
{
"keywords": [
"length",
"is",
"meter",
"less"
],
"value": "1"
},
{
"keywords": [
"park",
"is",
"meters",
"wide."
],
"value": "4"
}
] |
Twice the width is 4 x 2 = <<4*2=8>>8 meters.
The length of the rectangular flowerbed is 8 - 1= <<8-1=7>>7 meters.
Since the rectangular flower bed has 2 equal lengths, then it needs 7 x 2 = <<7*2=14>>14 meters of fence.
The rectangular bed has also 2 equal widths, so it needs 4 x 2 = <<8=8>>8 meters of fence.
Therefore, the rectangular flower bed needs a total of 14 + 8 = <<14+8=22>>22 meters of fence.
#### 22
|
To let Ruth know how long her fish will live, her father tells her that well-cared fish can live a certain number years longer than dogs live. On average, dogs live a certain number times as long as hamsters live. And hamsters live an average of 2.5 years. How long can a fish live?
|
[
{
"keywords": [
"dogs",
"live",
"times",
"as"
],
"value": "4"
},
{
"keywords": [
"can",
"live",
"years",
"longer"
],
"value": "2"
}
] |
Knowing that dogs live 4 times the age of hamsters, dogs live 4 * 2.5 = <<4*2.5=10>>10 years.
If Ruth takes care of the fish, it can live 10 + 2 = <<10+2=12>>12 years.
#### 12
|
Bill picked a certain number apples from the orchard with his wife and two children. He sends each of his kids to school with 3 apples for their two favorite teachers. His wife Jill bakes two apple pies, using 10 apples per pie. How many apples does Bill have left?
|
[
{
"keywords": [
"Bill",
"picked",
"apples",
"from"
],
"value": "50"
}
] |
Bill gives each of his children 3 apples, so since he has two children this is 3*2=<<3*2=6>>6 apples.
Jill bakes 2 apple pies, using 10 apples each so this means she uses 10*2=<<2*10=20>>20 apples.
In total, this means 20+6=<<20+6=26>>26 apples were used.
Since Bill began with 50 apples, this means there are 50-26=<<50-26=24>>24 apples remaining.
#### 24
|
Jackson has a certain number times more money than Williams. Together, they have $150. How much money, in dollars, does Jackson have?
|
[
{
"keywords": [
"Jackson",
"has",
"times",
"more"
],
"value": "5"
}
] |
Let x be the amount of money Williams has.
Jackson has 5*x dollars.
5*x+x=150
6*x=150
x=<<25=25>>25
Jackson has 25*5=<<25*5=125>>125 dollars.
#### 125
|
Madison takes her dog to the dog park. Counting Madison's dog, half the dogs have spots and a certain number have pointy ears. If a certain number dogs have spots, how many have pointy ears?
|
[
{
"keywords": [
"spots",
"and",
"have",
"pointy"
],
"value": "1/5"
},
{
"keywords": [
"ears.",
"If",
"dogs",
"have"
],
"value": "15"
}
] |
First double the number of dogs with spots to find the total number of dogs: 15 dogs * 2 = <<15*2=30>>30 dogs
Then multiply that number by 1/5 to find the number that have pointy ears: 30 dogs * 1/5 = <<30*1/5=6>>6 dogs
#### 6
|
A box is 8 inches in height, 10 inches in width, and 1a certain number inches in length. A wooden building block is 3 inches in height, 2 inches in width, and 4 inches in length. How many building blocks can fit into the box?
|
[
{
"keywords": [
"in",
"height,",
"inches",
"in"
],
"value": "2"
}
] |
The volume of the box is 8 x 10 x 12 = <<8*10*12=960>>960 cu in.
The volume of a wooden block is 3 x 2 x 4 = <<3*2*4=24>>24 cu in.
960/24 = <<960/24=40>>40 wooden blocks can fit into the box.
#### 40
|
Bella has two times as many marbles as frisbees. She also has a certain number more frisbees than deck cards. If she buys a certain number times more of each item, what would be the total number of the items she will have if she currently has 60 marbles?
|
[
{
"keywords": [
"also",
"has",
"more",
"frisbees"
],
"value": "20"
},
{
"keywords": [
"she",
"buys",
"times",
"more"
],
"value": "2/5"
}
] |
When Bella buys 2/5 times more marbles, she'll have increased the number of marbles by 2/5*60 = <<2/5*60=24>>24
The total number of marbles she'll have is 60+24 = <<60+24=84>>84
If Bella currently has 60 marbles, and she has two times as many marbles as frisbees, she has 60/2 = <<60/2=30>>30 frisbees.
If Bella buys 2/5 times more frisbees, she'll have 2/5*30 = <<2/5*30=12>>12 more frisbees.
The total number of frisbees she'll have will increase to 30+12 = <<30+12=42>>42
Bella also has 20 more frisbees than deck cards, meaning she has 30-20 = <<20-10=10>>10 deck cards
If she buys 2/5 times more deck cards, she'll have 2/5*10 = <<2/5*10=4>>4 more deck cards.
The total number of deck cards she'll have is 10+4 = <<10+4=14>>14
Together, Bella will have a total of 14+42+84 = <<14+42+84=140>>140 items
#### 140
|
Gracie was a certain number inches shorter than Grayson. Grayson was a certain number inches taller than Griffin. Griffin is 61 inches tall. How many inches tall is Gracie?
|
[
{
"keywords": [
"Gracie",
"was",
"inches",
"shorter"
],
"value": "7"
},
{
"keywords": [
"Grayson",
"was",
"inches",
"taller"
],
"value": "2"
}
] |
Grayson = 61 + 2 = <<61+2=63>>63 inches
Gracie = 63 - 7 = <<63-7=56>>56 inches
Gracie is 56 inches tall.
#### 56
|
3/5 of the mangoes on a mango tree are ripe. If Lindsay eats a certain number of the ripe mangoes, calculate the number of ripe mangoes remaining if there were 400 mangoes on the tree to start with.
|
[
{
"keywords": [
"Lindsay",
"eats",
"of",
"the"
],
"value": "60%"
}
] |
The number of ripe mangoes from the tree is 3/5*400 = <<3/5*400=240>>240
If Lindsay eats 60% of the ripe mangoes, she eats 60/100*240 = <<60/100*240=144>>144 mangoes.
The total number of ripe mangoes remaining is 240-144 =<<240-144=96>>96
#### 96
|
Harris feeds his dog a certain number large organic carrot over the course of a certain number day. There are 5 carrots in a 1 pound bag and each bag costs $2.00. In one year, how much will Harris spend on carrots?
|
[
{
"keywords": [
"his",
"dog",
"large",
"organic"
],
"value": "1"
},
{
"keywords": [
"in",
"a",
"pound",
"bag"
],
"value": "1"
}
] |
His dog gets 1 carrot a day and there are 365 days in a year, so his dog eats 1*365 = <<1*365=365>>365 carrots
There are 5 carrots per bag and he will need 365 carrots, so that's 365/5 = 73 bags of carrots
The bags cost $2.00 and he will need 73 bags so that's $2*73 = $<<2*73=146.00>>146.00 worth of organic carrots
#### 146
|
Ping pong balls sell for $.10 each. Johnny buys a certain number for a prank. He gets a a certain number discount for buying in such large bulk. How much does he pay?
|
[
{
"keywords": [
"Johnny",
"buys",
"for",
"a"
],
"value": "10000"
},
{
"keywords": [
"gets",
"a",
"discount",
"for"
],
"value": "30%"
}
] |
The ping pong balls cost 10000*.10=$<<10000*.10=1000>>1000
So the discount is 1000*.30=$<<1000*.30=300>>300
So he pays 1000-300=$<<1000-300=700>>700.
#### 700
|
A parking garage near Nora's house is 4 stories tall. There are 100 spots per level. There are 58 open parking spots on the first level. There are 2 more open parking spots on the second level than on the first level, and there are 5 more open parking spots on the third level than on the second level. There are a certain number open parking spots on the fourth level. How many full parking spots are there in all?
|
[
{
"keywords": [
"There",
"are",
"open",
"parking"
],
"value": "31"
}
] |
There are 4 levels * 100 spots = <<4*100=400>>400 possible parking spots.
The second level has 58 open spots + 2 = <<58+2=60>>60 open spots.
The third level has 60 open spots + 5 = <<60+5=65>>65 open spots.
Total open spots are 58 + 60 + 65 + 31 = <<58+60+65+31=214>>214 open spots.
If there are 400 possible spots – 214 open spots = <<400-214=186>>186 full spots.
#### 186
|
Andy is a lawyer who's working on two lawsuits. The first lawsuit has a a certain number chance of paying out $5,000,000 upon a win and $0 if he loses it. The second lawsuit has a 50% chance of paying out $1,000,000 if Andy loses and a 50% chance of paying out $2,000,000 if he wins. Expressed as a percentage, how much more likely is it that Andy loses both lawsuits compared to winning both of them?
|
[
{
"keywords": [
"has",
"a",
"chance",
"of"
],
"value": "30%"
}
] |
First find the probability that Andy will lose the first lawsuit: 100% - 30% = 70%
Then multiply that probability by the probability he loses the second lawsuit: 70% * 50% = 35%
Then multiply the probabilities of Andy winning each lawsuit to find the probability he wins them both: 30% * 50% = 15%
Then subtract the probability Andy wins both lawsuits from the probability he loses both lawsuits to find the difference: 35% - 15% = 20%
#### 20
|
John needs to take a certain number pills a day. One pill costs $1.5. The insurance covers a certain number of the cost. How much does he pay in a 30-day month?
|
[
{
"keywords": [
"insurance",
"covers",
"of",
"the"
],
"value": "40%"
},
{
"keywords": [
"to",
"take",
"pills",
"a"
],
"value": "2"
}
] |
It cost 2*1.5=$<<2*1.5=3>>3 a day.
So it cost 3*30=$<<3*30=90>>90 per day.
Insurance covers 90*.4=$<<90*.4=36>>36.
So he pays 90-36=$<<90-36=54>>54 a month.
#### 54
|
Mr. Caiden wants to do repairs to his house and requires 300 feet of metal roofing to do this. If each foot of roofing costs $8, and the supplier of the metal roofing brings in a certain number feet of metal roofing for free, how much money is Mr. Caiden required to pay for the remaining metal roofing?
|
[
{
"keywords": [
"brings",
"in",
"feet",
"of"
],
"value": "250"
}
] |
The supplier brought 300 ft - 250 ft = <<300-250=50>>50 fewer feet of metal roofing.
Therefore the total amount of money Mr. Caiden has to pay for the remaining metal roofings is 50 feet * $8/foot = $<<50*8=400>>400
#### 400
|
Belinda can throw a ball at a speed of 20 feet/second. If the ball flies for 8 seconds before hitting the ground, and Belinda's border collie can run a certain number feet/second, how many seconds will it take the border collie to catch up to the ball?
|
[
{
"keywords": [
"can",
"run",
"feet/second,",
"how"
],
"value": "5"
}
] |
First find the total distance the ball flies: 20 feet/second * 8 seconds = <<20*8=160>>160 feet
Then divide that distance by the dog's speed to find how long it takes the dog to catch up to the ball: 160 feet / 5 feet/second = <<160/5=32>>32 seconds
#### 32
|
Bart buys $10 of notepads for $1.25 each. They have a certain number pages each. How many pages did he buy?
|
[
{
"keywords": [
"They",
"have",
"pages",
"each."
],
"value": "60"
}
] |
He buys 10/1.25=<<10/1.25=8>>8 notepads
That means he buys 8*60=<<8*60=480>>480 pages
#### 480
|
Fernanda purchased six audiobooks from Audible to listen to from her audible app. If each audiobook was a certain number hours long and she listened to a certain number hours of an audiobook each day, calculate the total time it took her to finish the six audiobooks?
|
[
{
"keywords": [
"audiobook",
"was",
"hours",
"long"
],
"value": "30"
},
{
"keywords": [
"listened",
"to",
"hours",
"of"
],
"value": "2"
}
] |
To finish an audiobook 30 hours long, listening to 2 hours of each audiobook a day, Fernanda took 30 hours / 2 hours/day =<<30/2=15>>15 days to finish one audiobook.
If she purchased 6 audiobooks, the total number of days she will take to finish all the audiobooks is 6 audiobooks * 15 days/audiobook = <<6*15=90>>90 days
#### 90
|
Grace can read a a certain number book in a certain number hours. How long would it take her to finish reading a 250-page book at this constant rate?
|
[
{
"keywords": [
"read",
"a",
"book",
"in"
],
"value": "200-page"
},
{
"keywords": [
"book",
"in",
"hours.",
"How"
],
"value": "20"
}
] |
Grace can read 200/20 = <<200/20=10>>10 pages in 1 hour.
So she can finish a 250-page book in 250/10 = <<250/10=25>>25 hours.
#### 25
|
There are some kids in camp. Half of the kids are going to soccer camp, and a certain number of the kids going to soccer camp are going to soccer camp in the morning. a certain number kids are going to soccer camp in the afternoon. How many kids there in camp altogether?
|
[
{
"keywords": [
"the",
"morning.",
"kids",
"are"
],
"value": "750"
},
{
"keywords": [
"camp,",
"and",
"of",
"the"
],
"value": "1/4"
}
] |
There are 750/3=<<750/3=250>>250 kids going to soccer camp in the morning.
There are 250*4=<<250*4=1000>>1000 kids going to soccer camp altogether.
There are 1000*2=<<1000*2=2000>>2000 kids in camp altogether.
#### 2000
|
Stephanie is decorating a certain number4 cupcakes for a birthday party, but she needs more candles. She currently has a total of a certain number candles. She wants to decorate half of the cupcakes with 1 candle each and the other half of the cupcakes with 2 candles each. How many additional candles does Stephanie need to complete the cupcakes?
|
[
{
"keywords": [
"cupcakes",
"with",
"candles",
"each."
],
"value": "2"
},
{
"keywords": [
"total",
"of",
"candles.",
"She"
],
"value": "30"
}
] |
For half of the cupcakes, Stephanie wants to use 1 candle each. Since half of the cupcakes is 24/2 and she plans to use 1 candle each for this half of the cupcakes, Stephanie needs (24/2)*1 = <<24/2*1=12>>12 candles for this half of the cupcakes.
For the other half of the cupcakes, Stephanie wants to use 2 candles. Therefore, she will need (24/2)*2 =<<24/2*2=24>>24 candles for this half of the cupcakes.
Because Stephanie needs 12 candles for half of the cupcakes and 24 candles for the other half, she needs a total of 12+24=<<12+24=36>>36 candles.
Since Stephanie needs 36 candles to decorate all the cupcakes and she currently has 30 candles, Stephanie needs 36-30= <<36-30=6>>6 additional candles.
#### 6
|
Trent caught a certain number tadpoles then let a certain number of them go. How many did he keep?
|
[
{
"keywords": [
"Trent",
"caught",
"tadpoles",
"then"
],
"value": "180"
},
{
"keywords": [
"then",
"let",
"of",
"them"
],
"value": "75%"
}
] |
First find the number of tadpoles Trent released: 180 tadpoles * .75 = <<180*.75=135>>135 tadpoles
Then subtract the number he let go from the total number to find the number of tadpoles he keeps: 180 tadpoles - 135 tadpoles = <<180-135=45>>45 tadpoles
#### 45
|
Trevor needs to go downtown for a restaurant date. An Uber ride downtown costs $3 more than a Lyft ride. A Lyft ride costs $4 more than a taxi ride. The Uber ride costs $22. If Trevor takes a taxi downtown and tips the taxi driver a certain number of the original cost of the ride, what is the total cost of the ride downtown?
|
[
{
"keywords": [
"taxi",
"driver",
"of",
"the"
],
"value": "20%"
}
] |
The cost of the Lyft ride is $22 - $3 = $<<22-3=19>>19
The original cost of the taxi ride is $19 - $4 = $<<19-4=15>>15
Trevor tips the taxi driver $15 * 0.20 = $<<15*0.20=3>>3
The total cost of the ride downtown is $15 + $3 = $<<15+3=18>>18
#### 18
|
Jose is a collector of fine wines. His private cellar currently holds a certain number bottles of imported wine and half as many bottles of domestic wine as imported wine. If Jose holds a party and the guests drink one-third of all his wine, how many bottles will remain in his cellar?
|
[
{
"keywords": [
"currently",
"holds",
"bottles",
"of"
],
"value": "2400"
}
] |
Jose has half as many bottles of domestic wine as imported wine, or 2400/2=<<2400/2=1200>>1200 bottles of domestic wine.
In total, he has 2400+1200=<<2400+1200=3600>>3600 bottles of wine.
If the guests drink one-third of all his wine, then they will have consumed 3600/3=<<3600/3=1200>>1200 bottles of wine.
Thus, after the party, Jose's private cellar will have 3600-1200=<<3600-1200=2400>>2400 remaining bottles of wine.
#### 2400
|
Chance boarded a plane departing from London to New York at a certain number a.m. ET on Monday. He arrived in New York 18 hours later. If he took another plane flying to Cape town the day he arrived in New York and arrived in Cape town at 10:00 a.m ET on Tuesday, calculate the number of hours his flight took from New York to cape town.
|
[
{
"keywords": [
"York",
"at",
"a.m.",
"ET"
],
"value": "6:00"
}
] |
Eighteen hours later, after departing from London, Chance arrived in New York at 6:00+18 hours = 00:00 on Tuesday.
If he arrived in cape town at 10:00 p.m. on Tuesday, his flight took 10:00-00:00 = 10 hours.
#### 10
|
Edric's monthly salary is $57a certain number. If he works a certain number hours a day for 6 days a week, how much is his hourly rate?
|
[
{
"keywords": [
"he",
"works",
"hours",
"a"
],
"value": "8"
},
{
"keywords": [
"day",
"for",
"days",
"a"
],
"value": "6"
}
] |
In a week, Edric's salary is $576/4 = $<<576/4=144>>144.
In a day, Edric earns $144/6 = $<<144/6=24>>24.
Thus, his hourly rate is $24/8 = $<<24/8=3>>3.
#### 3
|
If one fourth of the engines are defective, and there are a certain number batches of 80 engines each. How many engines are not defective?
|
[
{
"keywords": [
"there",
"are",
"batches",
"of"
],
"value": "5"
}
] |
There are 80*5 = <<80*5=400>>400 engines in total.
400/4 = <<400/4=100>>100 of the engines are defective.
400-100 = <<400-100=300>>300 of the engines are not defective.
#### 300
|
Carla is making smoothies. If she uses 500 ml of watermelon puree and 100 ml of cream, how many a certain number ml servings can she make?
|
[
{
"keywords": [
"how",
"many",
"ml",
"servings"
],
"value": "150"
}
] |
First find the total volume of the smoothie mix: 500 ml + 100 ml = <<500+100=600>>600 ml
Then divide the total volume by the volume per serving to find the number of servings: 600 ml / 150 ml/serving = <<600/150=4>>4 servings
#### 4
|
Every morning, Carla puts 79 apples in her backpack to eat for lunch. Unfortunately, Buffy stole some of Carla's apples on the school bus, and 26 apples fell out of a hole on the bottom. So at lunchtime, Carla only had a certain number apples remaining. How many apples did Buffy steal from Carla?
|
[
{
"keywords": [
"only",
"had",
"apples",
"remaining."
],
"value": "8"
}
] |
Let B be the number of apples that Buffy stole. Then 79 - B - 26 = 8.
Combining constants produces 53 - B = 8.
Adding B to both sides produces 52 = B + 8
Thus the number of apples stolen by Buffy is B = 53 - 8 = <<53-8=45>>45.
#### 45
|
Joey studies for his SAT exams 2 hours per night a certain number nights a week. On the weekends, he studies a certain number hours a day. If his SAT exam is 6 weeks away, how much time will Joey spend studying?
|
[
{
"keywords": [
"per",
"night",
"nights",
"a"
],
"value": "5"
},
{
"keywords": [
"he",
"studies",
"hours",
"a"
],
"value": "3"
}
] |
Joey studies 2 hours a night 5 nights a week so that's 2*5 = <<2*5=10>>10 hours
He studies 3 hours a day on the weekends so that's 3*2 = <<3*2=6>>6 hours
In one week, Joey studies 10+6 = <<10+6=16>>16 hours
He has 6 weeks till his exams and he studies for 16 hours a week so that's 6*16 = <<6*16=96>>96 hours of studying
#### 96
|
On a a certain number GB (gigabyte) capacity USB drive, a certain number is already busy. Calculate the number of gigabytes still available.
|
[
{
"keywords": [
"USB",
"drive,",
"is",
"already"
],
"value": "50%"
},
{
"keywords": [
"On",
"a",
"GB",
"(gigabyte)"
],
"value": "16"
}
] |
We calculate 50% of 16 GB:
50/100 * 16 GB = 0.5 * 16 GB = <<50/100*16=8>>8 GB
That leaves 16 GB - 8 GB = <<16-8=8>>8 GB available on this key.
#### 8
|
Marla is planning the lunch menu for an elementary school. There are 5 third grade classes with 30 students each, 4 fourth grade classes with a certain number students each, and 4 fifth grade classes with 27 students each. Each student gets a hamburger, which costs $2.10, some carrots, which cost $0.50, and a cookie, which cost $0.20. How much does one lunch for all the students cost?
|
[
{
"keywords": [
"classes",
"with",
"students",
"each,"
],
"value": "28"
}
] |
First find the total number of students in third grade 5 classes * 30 students/class = <<5*30=150>>150 students
Then find the total number of students in fourth grade 4 classes * 28 students/class = <<4*28=112>>112 students
Then find the total number of student in fifth grade 4 classes * 27 students/class = <<4*27=108>>108 students
Now add the number of students in each grade to find the total number of students 150 students + 112 students + 108 students = <<150+112+108=370>>370 students
Now find the total cost of one lunch $2.10 + $0.50 + $0.20 = $<<2.10+0.50+0.20=2.80>>2.80
Now multiply that cost by the number of students to find the total cost for the school $2.80/student * 370 students = $<<2.80*370=1036>>1036
#### 1036
|
Two white socks cost 25 cents more than a single brown sock. If two white socks cost a certain number cents, how much would you pay for a certain number brown socks?
|
[
{
"keywords": [
"socks",
"cost",
"cents,",
"how"
],
"value": "45"
},
{
"keywords": [
"pay",
"for",
"brown",
"socks?"
],
"value": "15"
}
] |
Two white socks cost 25 cents more than a single brown sock, meaning a brown sock is sold at $0.45-$0.25=$0.20
The cost of buying 15 brown socks is 15*$0.20=$<<15*0.20=3>>3
#### 3
|
Kim buys a certain number pizzas. They are a certain number slices each. The pizza cost $72. How much did 5 slices cost?
|
[
{
"keywords": [
"They",
"are",
"slices",
"each."
],
"value": "12"
},
{
"keywords": [
"Kim",
"buys",
"pizzas.",
"They"
],
"value": "3"
}
] |
he got 3*12=<<3*12=36>>36 slices
So each slice cost 72/36=$<<72/36=2>>2
So 5 slices would cost 5*2=$<<5*2=10>>10
#### 10
|
Georgie needs a certain number avocados to make her grandmother's guacamole recipe. If she already had 5 avocados and her sister buys another 4 avocados, how many servings of guacamole can Georgie make?
|
[
{
"keywords": [
"Georgie",
"needs",
"avocados",
"to"
],
"value": "3"
}
] |
Altogether, Georgie has 5 + 4 = <<5+4=9>>9 avocados.
She can make 9/3 = <<9/3=3>>3 servings of guacamole.
#### 3
|
Sabrina gave a certain number cookies to her brother. Her mother gave Sabrina half the number of cookies she gave her brother. Then Sabrina gave two-thirds of her cookies to her sister. If Sabrina had 20 cookies at the start, how many cookies are left with her?
|
[
{
"keywords": [
"Sabrina",
"gave",
"cookies",
"to"
],
"value": "10"
}
] |
Sabrina had 20 - 10 = <<20-10=10>>10 cookies left after giving 10 cookies to her brother.
Sabrina's mother gave her 10/2 = <<10/2=5>>5 cookies.
So, she had 10 + 5 = <<10+5=15>>15 cookies then.
She gave 15 x 2/3 = <<15*2/3=10>>10 cookies to her sister.
Therefore, she only has 15 - 10 = <<15-10=5>>5 cookies left.
#### 5
|
A pool has 48 blue tiles and 32 red tiles. If the pool needs a certain number tiles to be completed, how many more tiles are needed?
|
[
{
"keywords": [
"pool",
"needs",
"tiles",
"to"
],
"value": "100"
}
] |
The pool currently has 48+32 = <<48+32=80>>80 tiles.
The pool needs 100-80 = <<100-80=20>>20 more tiles to be completed.
#### 20
|
Melanie is making meatballs for dinner. The recipe calls for breadcrumbs. To make the breadcrumbs Melanie is going to tear a certain number slices of bread into smaller pieces and then add them to a blender to grind them into fine crumbs. First she tears the bread slices each in half, then tears those halves in half. How many bread pieces is Melanie going to put into the blender?
|
[
{
"keywords": [
"to",
"tear",
"slices",
"of"
],
"value": "2"
}
] |
Melanie starts with 1 slice of bread that she tears in half, making 2 halves.
She takes both of those halves and tears them each in half, 2 halves x 2 more halves in half = <<2*2=4>>4 pieces per slice of bread.
Melanie is using 2 slices of bread x 4 pieces each = <<2*4=8>>8 pieces overall to add to the blender.
#### 8
|
Robi Ney wants to fill a a certain number tub. He is amused by letting the water run for 1 minute, then closing the water supply for 1 minute, and so on alternating opening and closing the water supply. But the cap at the bottom of the tub is not very airtight and lets 1 liter of water escape per minute. The flow rate of the tap is 12 liters per minute. How long does it take to fill the tub in minutes?
|
[
{
"keywords": [
"fill",
"a",
"tub.",
"He"
],
"value": "120-liter"
}
] |
In 2 minutes, 12 liters of water flow into the bathtub and 2 liters (2 minutes x 1 liter/minute ) escape.
This will leave 12 – 2 = <<12-2=10>>10 liters of water every two minutes
We can divide the number of liters by the number of minutes to find the average flow per minute, which is 10 / 2 = <<10/2=5>>5 liters per minute
To fill the tub, it will take 120 liters / 5 liters/min = <<120/5=24>>24 min
#### 24
|
There are a certain number meatballs on each spaghetti plate. If Theresa's 3 sons each eat two-thirds of the meatballs on their respective plates, how many meatballs are still left on their plates altogether?
|
[
{
"keywords": [
"There",
"are",
"meatballs",
"on"
],
"value": "3"
}
] |
Total meatballs on the plates 3 x 3 = <<3*3=9>>9.
If two-thirds are eaten, one-third remaining on the plates is 9 / 3 = <<9/3=3>>3.
#### 3
|
Travis and his brother joined a trick-or-treat event. They collected 68 pieces of candy altogether. Each of them ate a certain number pieces of candy after the event. How many pieces of candy were left?
|
[
{
"keywords": [
"them",
"ate",
"pieces",
"of"
],
"value": "4"
}
] |
They ate a total of 4 x 2 = <<4*2=8>>8 pieces of candy after the event.
So, Travis and his brother have 68 - 8 = <<68-8=60>>60 pieces of candy left.
#### 60
|
Alice and Emily are selling oranges at the farmer's market. Alice sold twice as many oranges as Emily did. In total, they sold a certain number oranges. How many oranges did Alice sell?
|
[
{
"keywords": [
"they",
"sold",
"oranges.",
"How"
],
"value": "180"
}
] |
Emily sold 180/3=<<180/3=60>>60 oranges.
Alice sold 60*2=<<60*2=120>>120 oranges.
#### 120
|
Jimmy bought a certain number pens for school for $1 each, 4 notebooks for $3 each and a certain number folders for $5 each. If he paid with a $50 bill, how much change will he get back?
|
[
{
"keywords": [
"Jimmy",
"bought",
"pens",
"for"
],
"value": "3"
},
{
"keywords": [
"each",
"and",
"folders",
"for"
],
"value": "2"
}
] |
Jimmy spent 3 * $1 = $<<3*1=3>>3 on pens.
He spent 4 * $3 = $<<4*3=12>>12 on notebooks.
He spent 2 * $5 = $<<2*5=10>>10 on folders.
He spent $3 + $12 + $10 = $<<3+12+10=25>>25 in total.
His change will be $50 - $25 = $<<50-25=25>>25.
#### 25
|
Ten boys brought a certain number popsicle sticks each. Twelve girls brought a certain number popsicle sticks each. How many fewer popsicle sticks did the girls bring than the boys?
|
[
{
"keywords": [
"girls",
"brought",
"popsicle",
"sticks"
],
"value": "12"
},
{
"keywords": [
"boys",
"brought",
"popsicle",
"sticks"
],
"value": "15"
}
] |
The boys brought a total of 10 x 15 = <<10*15=150>>150 popsicle sticks.
The girls brought a total of 12 x 12 = <<12*12=144>>144 popsicle sticks.
Therefore, the girls brought 150 - 144 = <<150-144=6>>6 fewer popsicle sticks than the boys.
#### 6
|
John runs a website that gets a certain number visits a month, for a normal a certain number day month. He gets $.01 per visit. How much does he make per day?
|
[
{
"keywords": [
"that",
"gets",
"visits",
"a"
],
"value": "30000"
},
{
"keywords": [
"a",
"normal",
"day",
"month."
],
"value": "30"
}
] |
He gets 30,000/30=<<30000/30=1000>>1,000 visits per day
So that means he makes 1000*.01=$<<1000*.01=10>>10 per day
#### 10
|
You start a business selling charm bracelets. You spend $1 on the string for each bracelet and $3 on beads for each bracelet. You sell the bracelets for $6 each. If you sell a certain number bracelets, how much profit will you make?
|
[
{
"keywords": [
"you",
"sell",
"bracelets,",
"how"
],
"value": "25"
}
] |
It costs $1 + $3 = $<<1+3=4>>4 to make each bracelet.
Your total cost is 25 * $4 = $<<25*4=100>>100.
Total revenue is 25 * $6 = $<<25*6=150>>150.
Total profit is $150 - $100 = $<<150-100=50>>50.
#### 50
|
Lance has a certain number cents, Margaret has three-fourths of a dollar, Guy has two quarters and a dime, and Bill has six dimes. How many cents do they have combined?
|
[
{
"keywords": [
"Lance",
"has",
"cents,",
"Margaret"
],
"value": "70"
}
] |
Margaret has 100 * 0.75 = $0.75.
Guy has $0.25 + $0.25 + $0.10 = $<<0.25+0.25+0.10=0.60>>0.60.
Bill has 6 * $0.10 = $<<6*0.10=0.60>>0.60.
Lance, Margaret, Guy and Bill have $0.70 + $0.75 + $0.60 + $0.60 = $<<0.70+0.75+0.60+0.60=2.65>>2.65.
Thus they have $2.65 * 100 = <<2.65*100=265>>265 cents.
#### 265
|
Jake splits 8 shots of vodka with his friend. Each shot of vodka is a certain number ounces. If the vodka is a certain number pure alcohol, how much pure alcohol did Jake drink?
|
[
{
"keywords": [
"vodka",
"is",
"ounces.",
"If"
],
"value": "1.5"
},
{
"keywords": [
"vodka",
"is",
"pure",
"alcohol,"
],
"value": "50%"
}
] |
Jake drank 8/2=<<8/2=4>>4 shots
So he drank 4*1.5=<<4*1.5=6>>6 ounces of vodka
That means he drank 6*.5=<<6*.5=3>>3 ounces of pure alcohol
#### 3
|
Jake and Penny are hunting snakes. Jake's snake is a certain number inches longer than Jenny's snake. If the two snakes have a combined length of a certain number inches, how long is Jake's snake?
|
[
{
"keywords": [
"snake",
"is",
"inches",
"longer"
],
"value": "12"
},
{
"keywords": [
"length",
"of",
"inches,",
"how"
],
"value": "70"
}
] |
Let j be the length of Jake's snake and p be length of Penny's snake. We know that j + p = 70, and j = p + 12.
We can substitute the second equation into the first equation to get p + 12 + p = 70
Combining like terms, we get 2p + 12 = 70
Subtracting 12 from both sides, we get 2p = 58
Dividing both sides by 2, we get p = 58 / 2 = <<58/2=29>>29 inches. Penny's snake is 29 inches.
Substituting that length in to the equation j = p + 12, we get j = 29 inches + 12 inches = <<29+12=41>>41 inches
#### 41
|
Jenny's local library received a certain number visitors on Monday. On Tuesday, the library received twice that number. On the remaining days of the week, an average of a certain number visitors went to the library. What's the total number of visitors who went to the library that week?
|
[
{
"keywords": [
"average",
"of",
"visitors",
"went"
],
"value": "20"
},
{
"keywords": [
"library",
"received",
"visitors",
"on"
],
"value": "50"
}
] |
On Monday, there were 50 visitors. On Tuesday, there were twice as many, so 2*50 = 100 visitors
The total number of visitors after Tuesday will be 100+50 = <<100+50=150>>150 visitors.
For the remaining 5 days, an average of 20 visitors attended, giving a total of 5*20 = <<5*20=100>>100 visitors.
The total number of visitors who visited the library for the week was 100+150 = <<100+150=250>>250 visitors.
#### 250
|
Mr. Callen bought a certain number paintings at $40 each and 8 wooden toys at $20 each from the crafts store to resell at a profit. However, when he sold the items, the selling price of a painting was 10% less and the selling price of a hat a certain number less. Calculate the total loss Mr. Callen made from the sale of the items.
|
[
{
"keywords": [
"Callen",
"bought",
"paintings",
"at"
],
"value": "10"
},
{
"keywords": [
"a",
"hat",
"less.",
"Calculate"
],
"value": "15%"
}
] |
If he sold a painting at a 10% loss, then he made a 10/100*$40 = $<<10/100*40=4>>4 loss on each painting.
since he bought 10 paintings, the total loss he made from selling the paintings is 10*$4 = $<<10*4=40>>40
He also made a loss of 15/100*20 = $<<15/100*20=3>>3 loss from selling each wooden toy.
Since he bought 8 wooden toys, the total loss he made was 3*8 = $<<8*3=24>>24
In total, Mr. Callen made a loss of $40+$24 = $<<40+24=64>>64 from the sales of the items.
#### 64
|
Coral is reading a book that is a certain number pages long. She reads half of it in the first week, and a certain number percent of the remaining pages the second week. How many pages must she read the third week in order to finish the book?
|
[
{
"keywords": [
"week,",
"and",
"percent",
"of"
],
"value": "30"
},
{
"keywords": [
"that",
"is",
"pages",
"long."
],
"value": "600"
}
] |
Week 1:600/2=300
600-300=<<600-300=300>>300 pages remain
Week 2:300(.30)=90 pages
300-90=<<300-90=210>>210 pages remain
Week 3:210 pages
#### 210
|
Jenny had $24 left after spending a certain number of her money. How much is half of her original amount of money?
|
[
{
"keywords": [
"after",
"spending",
"of",
"her"
],
"value": "3/7"
}
] |
Jenny spent 1 - 3/7 = 4/7 of her money.
Since 4/7 is equal to $24, then 1/7 is equal to $24/4 = $6.
So, Jenny originally had $6 x 7 = $<<6*7=42>>42.
Therefore, half of her original amount of money is $42/2 = $<<42/2=21>>21.
#### 21
|
Tim has a certain number toads. Jim has 20 more toads than Tim does. Sarah has twice as many toads as Jim does. How many toads does Sarah have?
|
[
{
"keywords": [
"Tim",
"has",
"toads.",
"Jim"
],
"value": "30"
}
] |
Jim has 30+20 = <<30+20=50>>50 toads
Sarah has 50*2 = <<50*2=100>>100 toads
#### 100
|
Jed is a certain number years older than Matt. In 10 years, Jed will be a certain number years old. What is the sum of their present ages?
|
[
{
"keywords": [
"Jed",
"is",
"years",
"older"
],
"value": "10"
},
{
"keywords": [
"will",
"be",
"years",
"old."
],
"value": "25"
}
] |
Jed is 25 - 10 = <<25-10=15>>15 years old now.
So, Matt is 15 - 10 = <<15-10=5>>5 years old now.
Thus, the sum of their present ages is 15 + 5 = <<15+5=20>>20.
#### 20
|
Shara collects shells. She had 20 shells before she went on vacation. On vacation, she found a certain number shells per day for 3 days. Then he found a certain number shells on the fourth day. How many shells does she have now?
|
[
{
"keywords": [
"she",
"found",
"shells",
"per"
],
"value": "5"
},
{
"keywords": [
"he",
"found",
"shells",
"on"
],
"value": "6"
}
] |
Shara collected 5 x 3 = <<5*3=15>>15 shells for 3 days.
So she collected 15 + 6 = <<15+6=21>>21 shells rom her vacation.
Thus, she now has a total of 20 + 21 = <<20+21=41>>41 shells.
#### 41
|
Whitney’s mom gave her two $a certain number0 bills to spend at the school book fair. Whitney has decided to buy a certain number posters, 3 notebooks, and 2 bookmarks. Each poster costs $5, each notebook costs $4, and each bookmark costs $2. How much money, in dollars, will Whitney have left over after the purchase?
|
[
{
"keywords": [
"notebooks,",
"and",
"bookmarks.",
"Each"
],
"value": "2"
},
{
"keywords": [
"to",
"buy",
"posters,",
"3"
],
"value": "2"
}
] |
Whitney is buying 2 posters for $5 each, so the posters will cost 2*$5= $<<2*5=10>>10 total cost for posters.
Whitney is buying 3 notebooks for $4 each, so the notebooks will cost 3*$4= $<<3*4=12>>12 total cost for notebooks.
Whitney is buying 2 notebooks for $2, so the bookmarks 2*$2= $<<2*2=4>>4 total cost for bookmarks.
Since Whitney is paying $10 for posters, $12 for notebooks, and $4 for bookmarks, her total purchase will cost $10+$12+$4= $<<10+12+4=26>>26 total purchase cost.
Whitney’s mom gave her 2 $20 bills, so she will be paying with 2*$20=$<<2*20=40>>40 total payment.
Since Whitney is paying with $40 and her purchase cost will be $26, she will have $40-$26= $<<40-26=14>>14 left over after the purchase.
#### 14
|
John jogs at a speed of 4 miles per hour when he runs alone, but runs at a certain number miles per hour when he is being dragged by his 100-pound German Shepherd dog. If John and his dog go on a run together for 30 minutes, and then John runs for an additional 30 minutes by himself, how far will John have traveled?
|
[
{
"keywords": [
"runs",
"at",
"miles",
"per"
],
"value": "6"
}
] |
John runs at 6 miles per hour for 0.5 hours, for a distance of 6*0.5=<<6*0.5=3>>3 miles.
Then John runs at 4 miles per hour for 0.5 hours, for a distance of 4*0.5=<<4*0.5=2>>2 miles.
In total, John runs 3+2=<<3+2=5>>5 miles.
#### 5
|
Jack bought a certain number books a month at $20 each. He sells them back at the end of the year for $500. How much money did he lose?
|
[
{
"keywords": [
"Jack",
"bought",
"books",
"a"
],
"value": "3"
}
] |
He bought 3*20=$<<3*20=60>>60 of books a month
That means he bought 60*12=$<<60*12=720>>720 of books a year
So he lost 720-500=$<<720-500=220>>220
#### 220
|
A clothing store sells a certain number shirts and a certain number pairs of jeans. A shirt costs $10 each and a pair of jeans costs twice as much. How much will the clothing store earn if all shirts and jeans are sold?
|
[
{
"keywords": [
"store",
"sells",
"shirts",
"and"
],
"value": "20"
},
{
"keywords": [
"shirts",
"and",
"pairs",
"of"
],
"value": "10"
}
] |
Twenty shirts amount to $10 x 20 = $<<10*20=200>>200.
The cost of each pair of jeans is $10 x 2 = $<<10*2=20>>20.
So 10 pairs of jeans amount to $20 x 10 = $<<20*10=200>>200.
Therefore, the store will earn $200 + $200 = $<<200+200=400>>400 if all shirts and jeans are sold.
#### 400
|
If a tarantula has eight legs, and one tarantula egg sac can contain a certain number tarantulas, how many baby tarantula legs would be in one less than 5 egg sacs?
|
[
{
"keywords": [
"can",
"contain",
"tarantulas,",
"how"
],
"value": "1000"
}
] |
One less than 5 is 5-1=<<5-1=4>>4.
If one tarantula egg sac can contain 1000 tarantulas, then four egg sacs can hold 4*1000=4000 tarantula babies.
If each tarantula baby has eight legs, the 4 egg sacs can contain 4000*8=<<4000*8=32000>>32,000 baby tarantula legs.
#### 32000
|
Henry, John and Leo collected some seashells from the beach. Henry collected 11, Paul a certain number If they initially collected 59 seashells in total and Leo gave a quarter of his collection to a younger kid they met, how many do they have in total now?
|
[
{
"keywords": [
"11,",
"Paul",
"If",
"they"
],
"value": "24."
}
] |
Henry and Paul collected a total of 11+24 = <<11+24=35>>35 seashells
To make a total of 59, Leo must have collected 59-35 = <<59-35=24>>24 seashells
He gave out a quarter of 24 seashells which is 24*(1/4) = <<24*(1/4)=6>>6 seashells
They are now left with 59-6 = <<59-6=53>>53 seashells
#### 53
|
Chang's Garden has two kinds of apples. Sweet ones and sour ones. He can sell the sweet ones for $.5 an apple. The sour ones sell for $.1 an apple. a certain number of the apples he gets are sweet and the rest are sour. If he earns $40, how many apples did his trees give him?
|
[
{
"keywords": [
"an",
"apple.",
"of",
"the"
],
"value": "75%"
}
] |
25% of the apples are sour because 100 - 75 = <<100-75=25>>25
The average price of an apple sold is $.4 because .75(.5) + .25(.1)= .4
He got 100 apples because 40 / .4 = <<40/.4=100>>100
#### 100
|
Marcos has to get across a a certain number mile lake in his speedboat in 10 minutes so he can make it to work on time. How fast does he need to go in miles per hour to make it?
|
[
{
"keywords": [
"across",
"a",
"mile",
"lake"
],
"value": "5"
}
] |
10 minutes for 5 miles means 10 minutes / 5 miles = <<10/5=2>>2 minutes/mile
1 hour is 60 minutes so 60 minutes/hour / 2 minutes/mile = 30 miles/hour
#### 30
|
At the Delicious Delhi restaurant, Hilary bought three samosas at $2 each and four orders of pakoras, at $3 each, and a mango lassi, for $2. She left a a certain number tip. How much did the meal cost Hilary, with tax, in dollars?
|
[
{
"keywords": [
"left",
"a",
"tip.",
"How"
],
"value": "25%"
}
] |
The samosas cost 3*2=<<3*2=6>>6 dollars each.
The pakoras cost 4*3=<<4*3=12>>12 dollars each.
The food came to 6+12+2=<<6+12+2=20>>20 dollars
The tip was an additional 20*.25=<<20*.25=5>>5 dollars
The total is 20+5=<<20+5=25>>25.
#### 25
|
Michael has a certain number packs of crayons and wants to buy 2 more. One pack of crayons costs $2.5. How much are all the packs of crayons Michael will have after the purchase worth?
|
[
{
"keywords": [
"Michael",
"has",
"packs",
"of"
],
"value": "4"
}
] |
After buying 2 more packs, Michael is going to have 4 packs + 2 packs = <<4+2=6>>6 packs of crayons.
In total all packs are going to be worth 6 packs * $2.5/pack = $<<6*2.5=15>>15.
#### 15
|
Tom Sawyer has tricked his friends into whitewashing Aunt Polly's a certain number0-foot fence. His first friend, Ben, whitewashed 10 feet. His second friend Billy whitewashed a fifth of the remaining fence. A third friend, Johnny, whitewashed a third of the fence that was left after that. How much of the fence still needs to be whitewashed?
|
[
{
"keywords": [
"Ben,",
"whitewashed",
"feet.",
"His"
],
"value": "10"
},
{
"keywords": [
"Aunt",
"Polly's",
"fence.",
"His"
],
"value": "100-foot"
}
] |
It's a 100-foot fence, and Ben whitewashed 10 feet, so there are 100 - 10 = <<100-10=90>>90 feet left after Ben is done.
Billy whitewashed a fifth of that, or 90 / 5 = <<90/5=18>>18 feet.
There is now 90 - 18 = <<90-18=72>>72 feet of fence left.
Johnny whitewashes a third of that, or 72 / 3 = <<72/3=24>>24 feet.
That leaves 72 - 24 = <<72-24=48>>48 feet of fence left to be whitewashed.
#### 48
|
A vampire needs to suck a certain number gallons of blood per week to survive. If he sucks a certain number pints of blood per person, how many people does he need to suck each day to survive?
|
[
{
"keywords": [
"he",
"sucks",
"pints",
"of"
],
"value": "2"
},
{
"keywords": [
"to",
"suck",
"gallons",
"of"
],
"value": "7"
}
] |
Each day it needs to consume 7/7=<<7/7=1>>1 gallon of blood
There are 128/16=<<128/16=8>>8 pints per gallon
So he needs to suck blood from 8/2=<<8/2=4>>4 people per day
#### 4
|
Angie bought three times as many pretzels at the mall as Shelly did. Shelly bought half as many pretzels as Barry. If Barry bought a certain number pretzels, how many did Angie buy?
|
[
{
"keywords": [
"Barry",
"bought",
"pretzels,",
"how"
],
"value": "12"
}
] |
Shelly bought 12/2=<<12/2=6>>6 pretzels
Angie bought 6*3=<<6*3=18>>18 pretzels
#### 18
|
Angelina is 4 years older than Justin is now. In a certain number years, Angelina will be a certain number years old. Calculate the age of Justin currently.
|
[
{
"keywords": [
"will",
"be",
"years",
"old."
],
"value": "40"
},
{
"keywords": [
"now.",
"In",
"years,",
"Angelina"
],
"value": "5"
}
] |
In five years, Angelina will be 40 years old, meaning currently she is 40-5 = <<40-5=35>>35 years old.
Since Angelina is 35 years old right now, and she is four years older than Justin, it means Justin is 35-4 = <<35-4=31>>31 years old.
#### 31
|
Brendan can cut a certain number yards of grass per day, he bought a lawnmower and it helped him to cut more yards by Fifty percent per day. How many yards will Brendan be able to cut after a week?
|
[
{
"keywords": [
"can",
"cut",
"yards",
"of"
],
"value": "8"
}
] |
The additional yard Brendan can cut after buying the lawnmower is 8 x 0.50 = <<8*0.50=4>>4 yards.
So, the total yards he can cut with the lawnmower is 8 + 4 = <<8+4=12>>12.
Therefore, the total number of yards he can cut in a week is 12 x 7 = <<12*7=84>>84 yards.
#### 84
|
Carol is an aviation engineer deciding how much fuel to put in a jet. The empty plane needs 20 gallons of fuel per mile. Each person on the plane increases this amount by a certain number gallons per mile, and each bag increases it by 2 gallons per mile. If there are 30 passengers and 5 flight crew, and each person brought two bags, how many gallons of fuel does the plane need for a 400-mile trip?
|
[
{
"keywords": [
"amount",
"by",
"gallons",
"per"
],
"value": "3"
}
] |
First find the total number of people by adding the number of passengers and flight crew: 30 people + 5 people = <<30+5=35>>35 people
Then find the total number of bags by doubling the total number of people: 35 people * 2 bags/person = <<35*2=70>>70 bags
Then find the fuel increase caused by the people by multiplying their number by the fuel increase per person: 35 people * 3 gallons/mile/person = <<35*3=105>>105 gallons/mile
Then multiply the number of bags by the fuel increase per bag to find the total fuel increase they cause: 70 bags * 2 gallons/mile/bag = <<70*2=140>>140 gallons/mile
Now add the fuel increases to the base fuel consumption to find the total fuel needed per mile: 140 gallons/mile + 105 gallons/mile + 20 gallons/mile = <<140+105+20=265>>265 gallons/mile
Now multiply the fuel consumption per mile by the number of miles flown to find the total amount of fuel needed: 265 gallons/mile * 400 miles = <<265*400=106000>>106,000 gallons of fuel
#### 106000
|
Yolanda leaves home for work at 7:00 AM, riding her bike at a certain number miles per hour. a certain number minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
|
[
{
"keywords": [
"per",
"hour.",
"minutes",
"after"
],
"value": "15"
},
{
"keywords": [
"bike",
"at",
"miles",
"per"
],
"value": "20"
}
] |
Let x be the number of minutes it takes Yolanda's husband to catch her.
We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband.
The distance each person travels is equal to their travel speed times the number of minutes they spend traveling. That means Yolanda's distance is equal to 20 mph * (x + 15) and her husband's distance is equal to 40 mph * x
Yolanda's husband catches up to her when they've both traveled the same distance, which is when 20(x + 15) = 40x
We can simplify this equation by multiplying 20 through the parentheses to get 20x + 300 = 40x
Then we can subtract 20x from each side to get 300 = 20x
Finally, we divide both sides by 20 to find that x = 15.
#### 15
|
Village Foods sells good food at a fair price. Their specialty is fresh vegetables. If they get 500 customers per month, and each customer purchases a certain number heads of lettuce for $1 each and a certain number tomatoes for $0.5 apiece, then how much money, in dollars, will the store receive in sales of lettuce and tomatoes per month?
|
[
{
"keywords": [
"customer",
"purchases",
"heads",
"of"
],
"value": "2"
},
{
"keywords": [
"each",
"and",
"tomatoes",
"for"
],
"value": "4"
}
] |
2 heads of lettuce at $1 apiece is 2*$1=$<<2*1=2>>2.
4 tomatoes at $0.50 apiece is 4*$0.5=$<<4*0.5=2>>2.
Thus, each customer purchases $2+$2=$<<2+2=4>>4 in lettuce and tomatoes per month.
Therefore, if 500 customers per month spend $4 on lettuce and tomatoes, then the store will receive $4*500=$<<4*500=2000>>2000 per month on sales of lettuce and tomatoes.
#### 2000
|
Sam shared a sum of money between his three cousins Sandra, Amy and Ruth in the ratio a certain number respectively. If Amy got $50, how much did Sandra get?
|
[
{
"keywords": [
"the",
"ratio",
"respectively.",
"If"
],
"value": "2:1:3"
}
] |
Going by the ratio, for every 1 part that Amy gets, Sandra will get 2 parts
Since Amy got $50, Sandra will get 2*$50 = $<<2*50=100>>100
#### 100
|
John builds a model rocket that can travel a certain number ft in the air. He builds a second rocket that can travel twice as high. What is the combined height of the two rockets?
|
[
{
"keywords": [
"can",
"travel",
"ft",
"in"
],
"value": "500"
}
] |
The second rocket goes 500*2=<<500*2=1000>>1000 feet
So the total height is 500+1000=<<500+1000=1500>>1500 feet
#### 1500
|
Anya has a certain number times as many erasers as Andrea. If Andrea has a certain number erasers, how many more erasers does Anya have than Andrea?
|
[
{
"keywords": [
"Anya",
"has",
"times",
"as"
],
"value": "4"
},
{
"keywords": [
"Andrea",
"has",
"erasers,",
"how"
],
"value": "4"
}
] |
Anya has 4 x 4 = <<4*4=16>>16 erasers.
Thus, Anya has 16 - 4 = <<16-4=12>>12 more erasers than Andrea.
#### 12
|
Jamal bought a certain number half dozen colored crayons at $2 per crayon. What was the total cost of the crayons that she bought?
|
[
{
"keywords": [
"Jamal",
"bought",
"half",
"dozen"
],
"value": "4"
}
] |
Since a dozen has 12 items, a half dozen has 1/2*12=<<6=6>>6 items.
Since Jamal bought four half dozen colored crayons, he bought 4*6 = <<4*6=24>>24 colored crayons.
If each crayon's cost was $2, Jamal paid $2*24 = $<<2*24=48>>48 for all the crayons he bought.
#### 48
|
Harry is joining a marathon that's why he practices and varies his workouts from day to day. He ran a certain number meters per hour on Monday. From Tuesday to Thursday he ran 50% faster than on Monday. Then on Friday, he ran 60% faster than he ran on Thursday. How fast did Harry run on Friday?
|
[
{
"keywords": [
"He",
"ran",
"meters",
"per"
],
"value": "10"
}
] |
Harry ran 10 x 50/100 = <<10*50/100=5>>5 meters per hour faster on Tuesday to Wednesday.
So he ran 10 + 5 = <<10+5=15>>15 meters per hour from Tuesday to Thursday.
Then on Friday, he ran 15 x 60/100 = <<15*60/100=9>>9 meters per hour more.
Therefore, he ran 15 + 9 = <<15+9=24>>24 meters per hour on Friday.
#### 24
|
The length of a rectangle is four times its width. If the area is a certain number m2. what is the length of the rectangle?
|
[
{
"keywords": [
"area",
"is",
"m2.",
"what"
],
"value": "100"
}
] |
Let L be the length and W be the width of the rectangle.
Hence L = 4* W
We now use the area to write 80 = L * W
Substitute L by 4 W in the equation above 80 = 4*W × W = 4 W^2
Solve for W and find L
4 W^2 = 100
W^2 = 25, W = 5 and
L = 4*5 = <<4*5=20>>20 m
#### 20
|
A shop sold a certain number bags of potatoes in the morning. In the afternoon, the shop sold 17 bags of potatoes. If each bag of potatoes weighs a certain number how many kilograms of potatoes did the shop sell for the whole day?
|
[
{
"keywords": [
"shop",
"sold",
"bags",
"of"
],
"value": "29"
},
{
"keywords": [
"potatoes",
"weighs",
"how",
"many"
],
"value": "7kg,"
}
] |
They sold in the morning and afternoon for a total of 29+17 = <<29+17=46>>46 bags
Each bag weighs 7kg so 46 bags weigh 46*7kg = 322kg
#### 322
|
It's Yvette's turn to treat herself and her three best friends to a round of ice cream sundaes. Alicia orders the peanut butter sundae for $7.50. Brant orders the Royal banana split sundae for $10.00. Josh orders the death by chocolate sundae for $8.50 and Yvette orders the cherry jubilee sundae for $9.00. She leaves her waiter a a certain number tip. How much will her final bill be?
|
[
{
"keywords": [
"waiter",
"a",
"tip.",
"How"
],
"value": "20%"
}
] |
Yvette spent 7.50+10+8.5+9 = $<<7.50+10+8.5+9=35.00>>35.00 on ice cream sundaes
Her bill comes to $35.00 and she leaves a 20% tip for the waiter so that's 35*.20 = $7.00
The bill was $35.00 and she added a $7.00 tip for a total of 35+7 = $<<35+7=42.00>>42.00
#### 42
|
Tom swims for a certain number hours at a speed of 2 miles per hour. He then runs for half the time at 4 times the speed. How many miles did he cover?
|
[
{
"keywords": [
"speed",
"of",
"miles",
"per"
],
"value": "2"
}
] |
He swam 2*2=<<2*2=4>>4 miles
He ran for 2/2=<<2/2=1>>1 hour
His running speed was 2*4=<<2*4=8>>8 mph
So he ran 8*1=<<8*1=8>>8 miles
So his total distance was 8+4=<<8+4=12>>12 miles
#### 12
|
Anna, Alison, and Jeff collect stamps. Anna had 37 stamps in her collection, Alison had a certain number stamps in her collection, and Jeff had 31 stamps in his collection. Alison gave Anna half of her collection in exchange for a novel, and then Anna traded Jeff two bluebird stamps for one mountain stamp. How many stamps did Anna have in the end?
|
[
{
"keywords": [
"Alison",
"had",
"stamps",
"in"
],
"value": "28"
}
] |
Alison gave Anna 1/2 * 28 = 28/2 = <<1/2*28=14>>14 stamps.
Adding Alison’s stamps to Anna’s collection means Anna has 14 + 37 = <<14+37=51>>51 stamps.
Then Anna traded Jeff 2 stamps, so she had 51 - 2 = <<51-2=49>>49 stamps.
Anna got 1 stamp back in the trade, so she had 49 + 1 = <<49+1=50>>50 stamps in the end.
#### 50
|
Luna, the poodle, is supposed to eat 2 cups of kibble every day. But Luna's master, Mary, and her husband, Frank, sometimes feed Luna too much kibble. One day, starting with a new, a certain number2-cup bag of kibble, Mary gave Luna 1 cup of kibble in the morning and 1 cup of kibble in the evening, But on the same day, Frank also gave Luna 1 cup of kibble in the afternoon and twice as much in the late evening as he had given Luna in the afternoon. The next morning, how many cups of kibble will Mary find remaining in the bag?
|
[
{
"keywords": [
"gave",
"Luna",
"cup",
"of"
],
"value": "1"
},
{
"keywords": [
"a",
"new,",
"bag",
"of"
],
"value": "12-cup"
}
] |
Mary fed Luna 1+1=2 cups of kibble.
Frank fed Luna 1-cup plus twice 1-cup, or 1+2=3 cups of kibble.
In total, they fed Luna 2+3=<<2+3=5>>5 cups of kibble.
Thus, if the new bag held 12 cups of kibble, the next morning, 12-5=<<12-5=7>>7 cups of kibble remained in the bag.
#### 7
|
Tom wants to make the world's largest dough ball. He needs a certain number pounds of flour and he can buy a certain number bags of flour for $20. He also needs 10 pounds of salt and salt cost $.2 a pound. He also spends $1000 promoting everything. He then sells tickets for $20 each and sells 500 tickets. How much money did he make?
|
[
{
"keywords": [
"He",
"needs",
"pounds",
"of"
],
"value": "500"
},
{
"keywords": [
"can",
"buy",
"bags",
"of"
],
"value": "50-pound"
}
] |
He needs 500/50=<<500/50=10>>10 bags of flour
That cost 20*10=$<<20*10=200>>200
He needs 10*.2=$<<10*.2=2>>2 worth of salt
So everything cost 1000+200+2=$<<1000+200+2=1202>>1202
He makes 20*500=$<<20*500=10000>>10,000 selling tickets
So he makes a profit of 10000-1202=$<<10000-1202=8798>>8798
#### 8798
|
Susan wants to throw a party for her mom. She is planning on having a certain number guests. For dinner she is making a recipe that makes 2 servings each. Each batch of the recipe calls for 4 potatoes and 1 teaspoon of salt. A potato costs $.10 and a container of salt costs $2 at the supermarket. If each container of salt has 5 teaspoons, how much money will Susan spend on food?
|
[
{
"keywords": [
"on",
"having",
"guests.",
"For"
],
"value": "30"
}
] |
Susan needs to make 30/2=<<30/2=15>>15 batches of the recipe.
Therefore, she will need 15*4=<<15*4=60>>60 potatoes.
She will also need 1*15=<<1*15=15>>15 teaspoons of salt.
Thus she will have to buy 15/5 =<<15/5=3>>3 containers of salt.
Therefore, she will spend 60*$.1=$6 on potatoes and 3*$2=$6 on salt.
Thus, she will spend $6+$6=$<<6+6=12>>12 on food.
#### 12
|
Joan is at the grocery store. She has a total of $60 to spend. She is going to purchase a certain number containers of hummus, which are $5 each. She is going to purchase chicken for $20, bacon for $10, and vegetables for $10. She wants to purchase apples which are $2 each. With her remaining money, how many apples can she purchase?
|
[
{
"keywords": [
"to",
"purchase",
"containers",
"of"
],
"value": "2"
}
] |
The total cost of the hummus is 2 * $5 = $<<2*5=10>>10
The total cost of the chicken, bacon, and vegetables is $20 + $10 + $10 = $<<20+10+10=40>>40
The remaining money she has is $60 - $10 - $40 = $<<60-10-40=10>>10
The amount of apples she can purchase is $10 / $2 = <<10/2=5>>5
#### 5
|
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