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Lenny bought 20 boxes of pens. Each box contained a certain number pens. She gave 40% of the pens to her close friends and one-fourth of what's left to her classmates. How many pens were left for Lenny?
|
[
{
"keywords": [
"box",
"contained",
"pens.",
"She"
],
"value": "5"
}
] |
Lenny has 20 x 5 = <<20*5=100>>100 pens.
She gave her close friends 100 x 40% = <<100*40*.01=40>>40 pens.
So, 100 - 40 = <<100-40=60>>60 pens were left.
Half of 60 is 60/4= <<60/4=15>>15 pens.
Thus, Lenny has 60 - 15 = <<60-15=45>>45 pens left.
#### 45
|
Josh has a certain number yards of ribbon that is to be used equally to a certain number gifts. If each gift will use 2 yards of ribbon, how many yards of ribbon will be left?
|
[
{
"keywords": [
"Josh",
"has",
"yards",
"of"
],
"value": "18"
},
{
"keywords": [
"equally",
"to",
"gifts.",
"If"
],
"value": "6"
}
] |
The 6 gifts will use 6 x 2 = <<6*2=12>>12 yards of ribbon.
So, 18 - 12 = <<18-12=6>>6 yards of ribbon will be left.
#### 6
|
A dietitian ate three-fourths of her lunch during her lunch break. If the total amount of food she had prepared for lunch had a certain number calories, and the recommended calorie intake by the FDA is 25, how many more calories than the recommended amount did she eat?
|
[
{
"keywords": [
"lunch",
"had",
"calories,",
"and"
],
"value": "40"
}
] |
A dietitian ate three-fourths of her lunch during her lunch break, containing 3/4*40=<<3/4*40=30>>30 calories.
If the recommended calorie intake by the FDA is 25, the dietitian ate 30-25=5 more calories than the recommended amount.
#### 5
|
Brenda picks 250 peaches. When she sorts through them, only a certain number are fresh, and Brenda has to throw 15 away for being too small. How many peaches does Brenda have left?
|
[
{
"keywords": [
"them,",
"only",
"are",
"fresh,"
],
"value": "60%"
}
] |
First find how many of the peaches are fresh, which is 250 peaches * 60% = <<250*60*.01=150>>150 peaches.
Then, subtract the number Brenda throws away after the fresh count, which is 150 peaches - 15 peaches = <<150-15=135>>135 peaches.
#### 135
|
Megan is delivering meals on wheels. Out of her a certain number clients, a certain number need vegan meals, 8 need kosher meals, and three people need meals that are both vegan and kosher. How many meals does Megan deliver that are neither kosher nor vegan?
|
[
{
"keywords": [
"of",
"her",
"clients,",
"7"
],
"value": "30"
},
{
"keywords": [
"30",
"clients,",
"need",
"vegan"
],
"value": "7"
}
] |
First, add the number of kosher meals to the number of vegan meals: 7 meals + 8 meals = <<7+8=15>>15 meals
Then subtract the three meals that are both kosher and vegan since they got counted twice: 15 meals - 3 meals = <<15-3=12>>12 meals
Finally, subtract that number from the total number of meals to find the number of meals that are neither kosher nor vegan: 30 meals - 12 meals = <<30-12=18>>18 meals
#### 18
|
There were a certain number kids on Lake Pleasant. A fourth of the kids went tubing, but only half of the tubers went rafting. How many of the kids who joined the rafting excursion were also on the tubing excursion?
|
[
{
"keywords": [
"There",
"were",
"kids",
"on"
],
"value": "40"
}
] |
40/4 = <<40/4=10>>10 kids went tubing.
10/2 = <<10/2=5>>5 kids went rafting and tubing.
#### 5
|
In her first term, Governor Sandoval gave twice as many commencement addresses as Governor Hawkins. Governor Sloan gave ten more commencement addresses than Governor Sandoval in the same amount of time. If Governor Sandoval gave a certain number commencement addresses, how many commencement addresses did the three of them give altogether?
|
[
{
"keywords": [
"Sandoval",
"gave",
"commencement",
"addresses,"
],
"value": "12"
}
] |
Since Governor Sandoval gave 12 commencement addresses, twice the number that Governor Hawkins gave, Governor Hawkins gave 12/2 = <<12/2=6>>6 commencement addresses.
The two of them gave 6+12 = <<6+12=18>>18 commencement addresses in total.
Governor Sloan gave ten more commencement addresses than Governor Sandoval, a total of 12+10 = <<12+10=22>>22 commencement addresses.
The three of them gave 22+18 = <<22+18=40>>40 commencement addresses.
#### 40
|
Bill put his french fries in the oven after it finished heating. The recommended time was 5 minutes for them to be fully cooked. He put them in for a certain number seconds. How many seconds remained?
|
[
{
"keywords": [
"in",
"for",
"seconds.",
"How"
],
"value": "45"
}
] |
Each minute last 60 seconds, so that means for the fries to be fully cooked Bill needs to cook them for 5*60=<<5*60=300>>300 seconds
Since Bill had the fries in the oven for 45 seconds so far, that means they need to stay in the oven for another 300-45= <<300-45=255>>255 seconds.
#### 255
|
Based on a 2008 study, children 6–11 years old spend a certain number minutes each day watching television. How many hours do these children watch television in 2 weeks if they are allowed to watch television 4 days a week?
|
[
{
"keywords": [
"old",
"spend",
"minutes",
"each"
],
"value": "45"
}
] |
The children watch a total of 45 x 4 = <<45*4=180>>180 minutes in a week.
In hours, this is equal to 180/60 = <<180/60=3>>3 hours a week.
Thus, these children watch 3 x 2 = <<3*2=6>>6 hours in two weeks.
#### 6
|
Jimmy decides to make sandwiches for a picnic. He makes a certain number sandwiches in total, using two slices of bread each. How many packs of bread does he need to buy to make these sandwiches, assuming he starts with no bread and each pack has a certain number slices of bread in it?
|
[
{
"keywords": [
"He",
"makes",
"sandwiches",
"in"
],
"value": "8"
},
{
"keywords": [
"pack",
"has",
"slices",
"of"
],
"value": "4"
}
] |
First, we need to determine how many slices of bread Jimmy will use to make the sandwiches. We determine this by performing 8*2=<<8*2=16>>16 slices of bread needed.
We then divide the number of slices needed by the number of slices per bread pack, performing 16/4=<<16/4=4>>4 packs of bread needed.
#### 4
|
Kylie picks apples for a certain number hours. The first hour she picks a certain number apples. The second hour she doubles her apple picking rate, and the third hour she picks a third of the apples picked in the first hour. How many apples did Kylie pick total?
|
[
{
"keywords": [
"she",
"picks",
"apples.",
"The"
],
"value": "66"
},
{
"keywords": [
"apples",
"for",
"hours.",
"The"
],
"value": "3"
}
] |
First hour = 66 apples
Second hour = 66(2) = 132 apples
Third hour = 66(1/3) = 22 apples
Total number of apples picked 66+132+22=<<66+132+22=220>>220 apples
#### 220
|
Amoli and Anayet must travel a certain number miles together. Amoli drove 42 miles an hour for 3 hours and Anayet drove at 61 miles an hour for 2 hours. How many miles do they still need to travel?
|
[
{
"keywords": [
"must",
"travel",
"miles",
"together."
],
"value": "369"
}
] |
Amoli = 42 * 3 = <<42*3=126>>126 miles
Anayet = 61 * 2 = <<61*2=122>>122
Together = 126 + 122 = <<126+122=248>>248 miles
369 - 248 = <<369-248=121>>121 miles
They still have 121 miles to travel.
#### 121
|
Three buckets are holding different fruits. Bucket A has 4 more pieces of fruit than bucket B while bucket B has a certain number more pieces of fruit than bucket C. If bucket C has a certain number pieces of fruit, how many pieces of fruit are in all 3 buckets?
|
[
{
"keywords": [
"in",
"all",
"buckets?"
],
"value": "3"
},
{
"keywords": [
"C",
"has",
"pieces",
"of"
],
"value": "9"
}
] |
Bucket B has 3 more fruits than C (which has 9 fruits) for a total of 9+3 = <<3+9=12>>12 fruits
Bucket A has 4 more fruits than B (which has 12 fruits) for a total of 12+4 = <<4+12=16>>16 fruits
All three buckets have a total of 9+12+16 = <<9+12+16=37>>37 fruits
#### 37
|
Amber worked for 12 hours last weekend. Armand worked one-third as long and Ella worked twice as long. How many hours did the a certain number people work in total?
|
[
{
"keywords": [
"did",
"the",
"people",
"work"
],
"value": "3"
}
] |
Armand = (1/3) * 12 = <<(1/3)*12=4>>4 hours
Ella = 2 * 12 = <<2*12=24>>24 hours
Total hours = 12 + 4 + 24 = <<12+4+24=40>>40 hours
They worked a total of 40 hours.
#### 40
|
James buys $3000 worth of stuff from Amazon. He has to return a TV that cost $700 and a bike that cost $500. He also sells another bike that cost a certain number more than the bike he returned for a certain number of what he bought it for. He then buys a toaster for $100. How much is he out of pocket for everything?
|
[
{
"keywords": [
"that",
"cost",
"more",
"than"
],
"value": "20%"
},
{
"keywords": [
"returned",
"for",
"of",
"what"
],
"value": "80%"
}
] |
The items he returned were valued at $700 + $500 = $<<700+500=1200>>1200
So far he is out 3000-1200 = <<3000-1200=1800>>1800 after recouping 1200.
An item that is 20% more expensive cost 1 + .2 = 1.2 times as much as the item
So that means the bike he sold cost $500 * 1.2 = $<<500*1.2=600>>600
He sold it for $600 * .8 = $<<600*.8=480>>480
From the bike that he had bought for 600, he was out 600-480 =<<600-480=120>>120
So far he is out 1800+120 = <<1800+120=1920>>1920
If he also bought a toaster worth 100, he was out 1920+100 = <<1920+100=2020>>2020
#### 2020
|
During one hour, Tom can read a certain number pages of a book. How many pages would he be able to read during 2 hours if he could increase his reading speed by a factor of a certain number
|
[
{
"keywords": [
"can",
"read",
"pages",
"of"
],
"value": "12"
},
{
"keywords": [
"factor",
"of"
],
"value": "3?"
}
] |
If Tom could triple his reading speed, he could read 12 * 3 = <<12*3=36>>36 pages of a book in one hour.
Therefore, during two hours he could read 36 * 2 = <<36*2=72>>72 pages.
#### 72
|
I went to the music shop and there were CDs of The Life Journey for $100, A Day a Life for $50, and When You Rescind for $85 on display. If I bought a certain number of each CD to share with my friends, what's the total amount of money I spent in the shop?
|
[
{
"keywords": [
"I",
"bought",
"of",
"each"
],
"value": "3"
}
] |
The total cost of The Life Journey is 3 × $100 = $<<3*100=300>>300.
The total cost of When You Rescind is 3 × $85 = $<<3*85=255>>255.
The total cost of A Day a Life is 3 × $50 = $<<3*50=150>>150.
The total cost for all the CDs is $150 + $255 + $300 = $<<150+255+300=705>>705.
#### 705
|
Melissa wants to make some dresses to sell at the upcoming festival. She has a certain number square meters of fabric to make them. She knows that each dress takes 4 square meters of fabric and 3 hours to make. How many hours does she have to work?
|
[
{
"keywords": [
"She",
"has",
"square",
"meters"
],
"value": "56"
}
] |
Each dress takes 4 square meters of fabric to make, so the number of dresses she can make will be 56/4 = <<56/4=14>>14 dresses.
Each dress takes 3 hours to make, thus she will have to work 14 dresses x 3 hours/dress = <<14*3=42>>42 hours.
#### 42
|
A zoo has a certain number parrots. It a certain number times the number of snakes than parrots and 2 times the number of monkeys than snakes. The number of elephants is half the number of parrots and snakes added up, and there are 3 fewer zebras than elephants. What is the difference in number between the zebras and the monkeys?
|
[
{
"keywords": [
"zoo",
"has",
"parrots.",
"It"
],
"value": "8"
},
{
"keywords": [
"parrots.",
"It",
"times",
"the"
],
"value": "3"
}
] |
The zoo has 8 x 3 = <<8*3=24>>24 snakes.
It has 24 x 2 = <<24*2=48>>48 monkeys.
The number of parrots and snakes added up is 8 + 24 = <<8+24=32>>32
There are 32/2 = <<32/2=16>>16 elephants.
There are 16 - 3 = <<16-3=13>>13 zebras.
The difference between zebras and monkeys is 48 - 13 = <<48-13=35>>35
#### 35
|
The county fair was hosting a pumpkin contest to see who could grow the biggest pumpkin in pounds. Brad entered his pumpkin with a weight of 5a certain number pounds. Jessica's was half the weight of Brad's. Betty's pumpkin weight 4 times the amount of Jessica's pumpkin. What is the difference between the heaviest and lightest pumpkin in pounds?
|
[
{
"keywords": [
"pumpkin",
"weight",
"times",
"the"
],
"value": "4"
}
] |
Jessica's pumpkin weighs half the weight of Brad's 54-pound pumpkin so 54/2 = <<54/2=27>>27 pounds
Betty's pumpkin weighs 4 times the amount of Jessica's 27-pound pumpkin so it weighs 4*27 = <<4*27=108>>108
Betty has the heaviest pumpkin at 108 pounds while Jessica's is the lowest at 27 pounds so the difference is 108-27 =<<108-27=81>>81 pounds
#### 81
|
On a particular week, Fatima's restaurant served 25 people food and drinks, and a certain number of that number came to buy coffee. How many people did not buy coffee in the restaurant?
|
[
{
"keywords": [
"drinks,",
"and",
"of",
"that"
],
"value": "3/5"
}
] |
The number of customers who were served coffee in the restaurant is 3/5*25 = <<3/5*25=15>>15
If the total number of customers who came to the restaurant was 25, then 25-15 = <<25-15=10>>10 customers did not buy coffee
#### 10
|
John writes 3 stories every week. Each short story is a certain number pages. He also writes a novel that is 1200 pages each year. Each sheet of paper can hold 2 pages. Over 12 weeks, how many reams of paper does he need to buy if a ream contains 500 sheets?
|
[
{
"keywords": [
"story",
"is",
"pages.",
"He"
],
"value": "50"
}
] |
He writes 3*50=<<3*50=150>>150 pages a week
That means he writes 150*52=<<150*52=7800>>7800 pages of short stories a year
So he writes 7800+1200=<<7800+1200=9000>>9000 pages a year
So he needs 9000/2=<<9000/2=4500>>4500 sheets of paper
That means he needs 4500/500=<<4500/500=9>>9 reams of paper
#### 3
|
Eden, Mary and Iris gather sand to fill their sandbox. Eden carried 4 buckets of sand. Mary carried 3 more buckets of sand than Eden. Iris carried a certain number less bucket of sand than Mary. If each bucket contains 2 pounds of sand, how many pounds of sand did they collect in total?
|
[
{
"keywords": [
"Iris",
"carried",
"less",
"bucket"
],
"value": "1"
}
] |
Mary carried 4 + 3 = <<4+3=7>>7 buckets of sand.
Iris carried 7 – 1 = <<7-1=6>>6 buckets of sand.
All together, they carried 4 + 7 + 6 = <<4+7+6=17>>17 buckets of sand.
The sand weighed a total of 17 * 2 = <<17*2=34>>34 pounds.
#### 34
|
Karen has a certain number quarters in her piggy bank. Her older brother Christopher has a certain number quarters in his piggy bank. How much more money does Christopher have?
|
[
{
"keywords": [
"Christopher",
"has",
"quarters",
"in"
],
"value": "64"
},
{
"keywords": [
"Karen",
"has",
"quarters",
"in"
],
"value": "32"
}
] |
Christopher has 64 quarters so he has 64*.25 = $<<64*.25=16.00>>16.00
Karen has 32 quarters so she has 32*.25 = $<<32*.25=8.00>>8.00
If Christopher has $16.00 and Karen has $8.00 then Christopher has 16-8 = $<<16-8=8.00>>8.00 more than Karen
#### 8
|
James hurt himself exercising. The pain subsided after a certain number days, but he knew that the injury would take at least 5 times that long to fully heal. After that, he wanted to wait another 3 days before he started working out again. If he wants to wait 3 weeks after that to start lifting heavy again, how long until he can lift heavy again?
|
[
{
"keywords": [
"wait",
"another",
"days",
"before"
],
"value": "3"
}
] |
The injury would be fully healed after 3*5=<<3*5=15>>15 days
So he would start exercising again in 15+3=<<15+3=18>>18 days
He would then wait for 3*7=<<3*7=21>>21 more days to start lifting heavy again
That means he needs to wait 18+21=<<18+21=39>>39 days
#### 39
|
Zion made a triangular-shaped house of cards with the base having a measurement of 40 centimeters and a height of 20 centimeters. If two of his friends also built similar shaped houses, what's the total area of the triangular houses that Zion and his friends made (the area of a triangle is a certain number * width * height)?
|
[
{
"keywords": [
"triangle",
"is",
"*",
"width"
],
"value": "1/2"
}
] |
Since the area of a triangle is given by 1/2 base*height, the area of the triangular-shaped house of cards that Zion made is 1/2*40*20 = <<1/2*40*20=400>>400 square centimeters.
If two of his friend also built similar shaped houses, the total area of their triangular-shaped house of cards is 400+400=<<400+400=800>>800 square centimeters.
Together with Zion, they all built triangular-shaped houses of cards with a combined area of 800+400=<<800+400=1200>>1200 square centimeters.
#### 1200
|
Of the 90 people on William's bus, 3/5 were Dutch. Of the a certain number of the Dutch who were also American, a certain number got window seats. What's the number of Dutch Americans who sat at the windows?
|
[
{
"keywords": [
"also",
"American,",
"got",
"window"
],
"value": "1/3"
},
{
"keywords": [
"Of",
"the",
"of",
"the"
],
"value": "1/2"
}
] |
On the bus, the number of Dutch people was 3/5 of the total number, a total of 3/5*90 = <<3/5*90=54>>54 people.
Out of the 54 people who were Dutch, 1/2 were Dutch Americans, a total of 1/2*54 = <<1/2*54=27>>27 people.
If 1/3 of the passengers on the bus identifying as Dutch Americans sat at the windows, their number is 1/3*27 = <<1/3*27=9>>9
#### 9
|
The Chrysler Building has a certain number more floors than the Leeward Center. Together they have a total of 35 floors. How many floors does the Chrysler Building have?
|
[
{
"keywords": [
"Building",
"has",
"more",
"floors"
],
"value": "11"
}
] |
Let L = Leeward Center
Chrysler = L + <<+11=11>>11
L + L + 11 = 35
2L + 11 = 35
2L = 24
Leeward = <<12=12>>12 floors
Chrysler = 12 + 11 = <<12+11=23>>23 floors
The Chrysler Building has 23 floors.
#### 23
|
There is a rectangle that is 4 inches wide. If the rectangle's perimeter is a certain number inches, what is the area of the rectangle?
|
[
{
"keywords": [
"perimeter",
"is",
"inches,",
"what"
],
"value": "30"
}
] |
Twice the height of the rectangle is 30 inches - 2 * 4 inches = <<30-2*4=22>>22 inches.
The rectangle's height is 22 inches / 2 = <<22/2=11>>11 inches.
The area of the rectangle is 4 inches * 11 inches = <<4*11=44>>44 square inches.
#### 44
|
With one mighty blow, Maria cracked open the pinata, and candies spilled all over the floor. There were a certain number red candies, 20 less than three times as many yellow candies as red candies, and half as many blue candies as yellow candies. If Carlos ate all of the yellow candies, how many candies remained?
|
[
{
"keywords": [
"There",
"were",
"red",
"candies,"
],
"value": "40"
}
] |
Three times the number of red candies is 40*3=<<40*3=120>>120.
So, for yellow candies, there were 20 less than 120 candies, or a total of
120-20=<<120-20=100>>100 yellow candies.
Half as many blue candies as yellow candies is 100/2=<<100/2=50>>50 blue candies.
If Carlos ate all of the yellow candies, then only the 40 red and 50 blue candies remained for a total of 40+50=<<40+50=90>>90 candies.
#### 90
|
On Monday Samson ate a certain number sandwiches at lunch and ate twice as many at dinner. The next morning, he felt sick from eating all those sandwiches, so he only ate one sandwich for breakfast. How many more sandwiches in total did Samson eat on Monday than Tuesday?
|
[
{
"keywords": [
"Samson",
"ate",
"sandwiches",
"at"
],
"value": "3"
}
] |
Samson ate 3 sandwiches x 2 = <<3*2=6>>6 sandwiches at dinner on Monday
He ate 3 sandwiches + 6 sandwiches = <<3+6=9>>9 sandwiches total on Monday
Therefore, he ate 9 sandwiches - 1 sandwich = 8 more sandwiches on Monday than Tuesday
#### 8
|
Carla can cook a batch of waffles in 10 minutes and chicken-fried steak in a certain number minutes. How long will it take her to cook a certain number steaks and a batch of waffles?
|
[
{
"keywords": [
"to",
"cook",
"steaks",
"and"
],
"value": "3"
},
{
"keywords": [
"steak",
"in",
"minutes.",
"How"
],
"value": "6"
}
] |
First find the total cook time for the steaks: 3 steaks * 6 minutes/steak = <<3*6=18>>18 minutes
Then add the waffles' cook time to find the total cook time: 18 minutes + 10 minutes = <<18+10=28>>28 minutes
#### 28
|
Hannah has three dogs. The first dog eats a certain number cups of dog food a day. The second dog eats twice as much while the third dog eats a certain number cups more than the second dog. How many cups of dog food should Hannah prepare in a day for her three dogs?
|
[
{
"keywords": [
"dog",
"eats",
"cups",
"of"
],
"value": "1.5"
},
{
"keywords": [
"dog",
"eats",
"cups",
"more"
],
"value": "2.5"
}
] |
The second dog eats 1.5 x 2 = <<1.5*2=3>>3 cups of dog food.
The third dog eats 3 + 2.5 = <<3+2.5=5.5>>5.5 cups.
So, Hannah should prepare 1.5 + 3 + 5.5 = <<1.5+3+5.5=10>>10 cups.
#### 10
|
Patsy is gearing up for this weekend’s graduation. She needs to have 6 appetizers per each of her a certain number guests. She’s making 3 dozen deviled eggs, 2 dozen pigs in a blanket and 2 dozen kebabs. How many more dozen appetizers does she need to make?
|
[
{
"keywords": [
"of",
"her",
"guests.",
"She’s"
],
"value": "30"
}
] |
She needs 6 appetizers per each of her 30 guests so she needs 6*30 = <<6*30=180>>180 appetizers
She’s made 3 dozen deviled eggs, 2 dozen pigs in a blanket and 2 dozen kebabs so she’s made 3+2+2 = <<3+2+2=7>>7 dozen appetizers
7 dozen appetizers is 7*12 = <<7*12=84>>84 appetizers
She needs 180 appetizers and has made 84 so she needs 180-84 = <<180-84=96>>96 appetizers
96 appetizers, in dozens, is 96/12 = <<96/12=8>>8 dozen more appetizers
#### 8
|
There is a very large room that has 4 tables, a certain number sofa and 2 chairs that have 4 legs each. There are also a certain number tables with 3 legs each, 1 table with 1 leg, and 1 rocking chair with 2 legs. How many legs are there in the room?
|
[
{
"keywords": [
"are",
"also",
"tables",
"with"
],
"value": "3"
},
{
"keywords": [
"table",
"with",
"leg,",
"and"
],
"value": "1"
}
] |
There are 4 tables, 1 sofa and 2 chairs that have 4 legs each so 4+1+2 =<<4+1+2=7>>7 pieces of furniture
These 7 pieces have 4 legs each so they have 7*4 = <<7*4=28>>28 legs
There are 3 tables with 3 legs each so they have 3*3 = <<3*3=9>>9 legs
We have 28 legs and 9 legs as well a 1 leg on a table and 2 on a rocking chair for a total of 28+9+1+2 = <<28+9+1+2=40>>40 legs
#### 40
|
Alex gets paid $500 a week and a certain number of his weekly income is deducted as tax. He also pays his weekly water bill for $55 and gives away another a certain number of his weekly income as a tithe. How much money does Alex have left?
|
[
{
"keywords": [
"away",
"another",
"of",
"his"
],
"value": "10%"
},
{
"keywords": [
"week",
"and",
"of",
"his"
],
"value": "10%"
}
] |
His income tax is 10% of 500 which is 500*10% = $<<500*10*.01=50>>50.
His tithe costs 10% of $500 which is 500*10% = $<<500*10*.01=50>>50.
The total expenses are 50 + 55 + 50 = $155
He is then left with $500 - $ 155= $<<500-155=345>>345.
#### 345
|
An elementary school teacher is making Halloween goodie bags for her class. She wants the bags to be personalized, so she surveys her students asking whether they'd like a vampire-themed bag or a pumpkin-themed bag. Of her a certain number students, 11 indicate they want the vampire-themed bag and a certain number indicate they want the pumpkin-themed bag. The store the teacher shops at sells packs of 5 of each theme at a price of $3 per package, as well as individual bags of each theme at a price of $1 each. What is the least amount of money the teacher can spend on the bags if she buys every student the theme they requested?
|
[
{
"keywords": [
"Of",
"her",
"students,",
"11"
],
"value": "25"
},
{
"keywords": [
"bag",
"and",
"indicate",
"they"
],
"value": "14"
}
] |
Because it is cheaper to buy the packs of 5, the teacher should satisfy the 11 students who want the vampire theme with 2 packs of 5 and 1 individual bag. This will cost the teacher 2*3 + 1*1 = $<<2*3+1*1=7>>7.
Similarly, the 14 students who want a pumpkin-themed bag can be satisfied by 2 packs of 5 and 4 individual bags at a cost of 2*3 + 4*1 = $<<2*3+4*1=10>>10.
Therefore, the teacher must spend 7 + 10 = $<<7+10=17>>17.
#### 17
|
A zoo has a certain number pandas, paired into mates (in the same zoo). Only a certain number of the panda couples get pregnant after mating. If they each have one baby, how many panda babies are born?
|
[
{
"keywords": [
"zoo).",
"Only",
"of",
"the"
],
"value": "25%"
},
{
"keywords": [
"zoo",
"has",
"pandas,",
"paired"
],
"value": "16"
}
] |
First divide the number of pandas by 2 to find the number of couples: 16 pandas / 2 = <<16/2=8>>8 panda couples
Then multiply that number by 25% to find the number of babies: 8 panda couples * 25% = <<8*25*.01=2>>2 panda babies
#### 2
|
A movie theater has a certain number screens which show movies back-to-back all day. If the movie theater is open for 8 hours, and each movie lasts a certain number hours, how many movies are shown in total throughout the day?
|
[
{
"keywords": [
"movie",
"lasts",
"hours,",
"how"
],
"value": "2"
},
{
"keywords": [
"theater",
"has",
"screens",
"which"
],
"value": "6"
}
] |
Each screen shows movies all day, which means each screen shows 8 hours/day / 2 hours per movie = <<8/2=4>>4 movies/day.
So in total, the movie theater shows 6 screens * 4 movies/day = <<6*4=24>>24 movies.
#### 24
|
A porcelain vase was originally priced at $200 but went on sale for a certain number off. If Donna bought the porcelain vase and paid a certain number sales tax, how much did she pay in total?
|
[
{
"keywords": [
"sale",
"for",
"off.",
"If"
],
"value": "25%"
},
{
"keywords": [
"and",
"paid",
"sales",
"tax,"
],
"value": "10%"
}
] |
Donna got $200 x 25/100 = $<<200*25/100=50>>50 less for the porcelain vase.
So, the porcelain vase is now $200 - $50 = $<<200-50=150>>150.
Donna has to pay $150 x 10/100 = $<<150*10/100=15>>15 for the sales tax.
Therefore, she paid $150 + $15 = $<<150+15=165>>165 in total.
#### 165
|
Yuan is a certain number years older than his brother David and twice his age. How old is David?
|
[
{
"keywords": [
"Yuan",
"is",
"years",
"older"
],
"value": "7"
}
] |
Let x be David's age. Yuan is seven years older than David, 7 + x = Y years.
Yuan is also twice David's age, 2 * x = Y years.
Since these two equations equal the same thing, we can write: 7 + x = 2 * x.
Subtracting x from both sides we get 7 = x, so David is 7 years old.
#### 7
|
Carla is taking attendance for her sixth-grade class. She knows that a certain number students are in the restroom, and one less than three times that number of students are absent. If there are four rows with six desks each that are all 2/3 full, how many students does Carla teach, including the ones in and out of the classroom?
|
[
{
"keywords": [
"knows",
"that",
"students",
"are"
],
"value": "2"
}
] |
First find the number of absent students: 2 students * 3 - 1= <<2*3-1=5>>5 students
Now find the number of students in each row of desks: 6 desks/row * 2 students / 3 desks = 4 students/row
Now find the number of students in all the rows: 4 rows * 4 students/row = <<4*4=16>>16 students
Now add the students that are absent or in the bathroom: 16 students + 2 students + 5 students = <<16+2+5=23>>23 students
#### 23
|
If Clover goes for a a certain number walk in the morning and another 1.5-mile walk in the evening, every day, how many miles does he walk in 30 days?
|
[
{
"keywords": [
"for",
"a",
"walk",
"in"
],
"value": "1.5-mile"
}
] |
He walks 1.5 miles in the morning and 1.5 miles in the evening so that’s 1.5+1.5 = <<1.5+1.5=3>>3 miles
If he walks 3 miles everyday, for 30 days then he walks 3*30 = <<3*30=90>>90 miles in 30 days
#### 90
|
Tyler has 21 CDs. He gives away a third of his CDs to his friend. Then he goes to the music store and buys a certain number brand new CDs. How many CDs does Tyler have now?
|
[
{
"keywords": [
"and",
"buys",
"brand",
"new"
],
"value": "8"
}
] |
Tyler gives away 21 / 3 = <<21/3=7>>7 CDs
After giving away a third of his CDs, Tyler has 21 - 7 = <<21-7=14>>14 CDs
After buying new CDs, Tyler has 14 + 8 = <<14+8=22>>22 CDs
#### 22
|
Steve owns a lake shop that sells fish. He has a stock of a certain number fish. He sells 50 fish and because his refrigerators stop working a third of the remaining fish become spoiled. A new stock of a certain number more fish arrives. How many fish does he have in stock now?
|
[
{
"keywords": [
"stock",
"of",
"more",
"fish"
],
"value": "200"
},
{
"keywords": [
"stock",
"of",
"fish.",
"He"
],
"value": "200"
}
] |
If he had 200 fish and sells 50, he is left with 200 - 50 = <<200-50=150>>150 fish
If a third of them get spoiled 1/3 * 150 = <<150*1/3=50>>50 fish get spoiled
The remaining number of fish is now 150 - 50 = <<150-50=100>>100
He then gets 200 more to make 100 + 200 = <<100+200=300>>300 fish
#### 300
|
Tabitha and her friends were excited to go to the Christmas parade because they knew candy would be thrown to the crowd from the floats. Tabitha caught a certain number pieces of candy. Stan caught a certain number pieces. Julie caught half the amount of candy as Tabitha caught and Carlos caught twice as much candy as Stan. How many pieces in total did the friends catch?
|
[
{
"keywords": [
"Tabitha",
"caught",
"pieces",
"of"
],
"value": "22"
},
{
"keywords": [
"Stan",
"caught",
"pieces.",
"Julie"
],
"value": "13"
}
] |
Julie caught half the amount of Tabitha's 22 pieces so 22/2 = <<22/2=11>>11 pieces of candy caught by Julie
Carlos caught twice the amount of candy as Stan's 13 pieces so 2 * 13 = <<2*13=26>>26 pieces of candy caught by Carlos
All together, Tabitha caught 22 pieces, Stan had 13, Julie had 11 and Carlos had 26, so there were a total of 22+13+11+26 = <<22+13+11+26=72>>72 pieces of candy
#### 72
|
Tom cannot afford a normal doctor, so he goes to a discount clinic that is a certain number cheaper. It takes two visits, though, instead of 1. A normal doctor charges $200 for a visit. How much money does he save?
|
[
{
"keywords": [
"that",
"is",
"cheaper.",
"It"
],
"value": "70%"
}
] |
Each of Tom's visits was 200*.7=$<<200*.7=140>>140 cheaper
So he paid $200 - $140 = $<<200-140=60>>60 per visit
That means he paid $60 * 2 = $<<60*2=120>>120
So he saved $200 - $120 = $<<200-120=80>>80
#### 80
|
Every Sunday, Sean picks up a certain number almond croissant and 1 salami and cheese croissant that are $4.50 each. He also grabs a plain croissant for $3.00 and a loaf of focaccia for $4.00. On his way home he stops and picks up 2 lattes for $2.50 each. How much did he spend?
|
[
{
"keywords": [
"picks",
"up",
"almond",
"croissant"
],
"value": "1"
}
] |
The almond croissant and the salami and cheese croissant are $4.50 each so that's 2*4.50 = $9.00
He buys 2 lattes that are $2.50 each so that's 2*2.50 = $<<2*2.50=5.00>>5.00
The flavored croissants are $9.00, the lattes are $5.00 and he also grabbed a plain croissant for $3.00 and focaccia for $4.00 for a total of 9+5+3+4 = $<<9+5+3+4=21.00>>21.00
#### 21
|
Bingley has a certain number bracelets. Kelly gives Bingley a fourth of her a certain number bracelets. Then Bingley gives a third of his bracelets to his little sister. How many bracelets does Bingley have remaining?
|
[
{
"keywords": [
"Bingley",
"has",
"bracelets.",
"Kelly"
],
"value": "5"
},
{
"keywords": [
"of",
"her",
"bracelets.",
"Then"
],
"value": "16"
}
] |
Kelly gives Bingley 16 / 4 = <<16/4=4>>4 bracelets
Bingley has 5 + 4 = <<5+4=9>>9 bracelets
Bingley gives his little sister 9 / 3 = <<9/3=3>>3 bracelets
In the end, Bingley has 9 - 3 = <<9-3=6>>6 bracelets remaining
#### 6
|
Matt needs to buy new plates for his home. He only wants to do dishes once a week. Three days a week it is only him and his son eating and they use a certain number plate each. On the remainder of the days, his parents join them and everyone uses a certain number plates that day. How many plates does he need to buy?
|
[
{
"keywords": [
"they",
"use",
"plate",
"each."
],
"value": "1"
},
{
"keywords": [
"everyone",
"uses",
"plates",
"that"
],
"value": "2"
}
] |
So for 3 of the days, there are 1+1=2 people eating
So for those days they use 3*2=<<3*2=6>>6 plates
On 7-3=4 days the parents join them
On those days there are 2+2=<<2+2=4>>4 people eating
They use 4*2=<<4*2=8>>8 plates
So they use 8*4=<<8*4=32>>32 plates
That means they use a total of 32+6=<<32+6=38>>38 plates
#### 38
|
Maddie wants to see how much her mom spends on coffee each week. She makes herself 2 cups of coffee per day. Each cup has 1.5 ounces of coffee beans. A bag of coffee costs $8 and contains a certain number ounces of beans. She uses 1/2 a gallon of milk per week. A gallon of milk costs $4. She doesn't add any sugar to the coffee. How much does she spend on her coffee per week?
|
[
{
"keywords": [
"and",
"contains",
"ounces",
"of"
],
"value": "10.5"
}
] |
She uses 3 ounces of beans per day because 2 x 1.5 = <<2*1.5=3>>3
She uses 21 ounces of beans per week because 7 x 3 = <<7*3=21>>21
She buys 2 bags of beans per week because 21 / 10.5 = <<21/10.5=2>>2
She spends $16 on the beans per week because 2 x 8 = <<16=16>>16
She spends $2 on the milk per week because 4 x (1/2) = <<4*(1/2)=2>>2
She spends $18 per week on her coffee because 16 + 2 = <<16+2=18>>18
#### 18
|
On Sunday Trey is going to do some chores at home. First, he wants to make a To Do list and count up how many things he has to do that day and how long it should take. He has several items under 'clean the house,' 'take a shower' and then 'make dinner.' In total there are 7 things to do to clean the house; 1 thing to do to take a shower; and 4 things to do to make dinner. If everything on Trey's list takes a certain number minutes to do, how many hours total will it take to complete Trey's list?
|
[
{
"keywords": [
"list",
"takes",
"minutes",
"to"
],
"value": "10"
}
] |
On Trey's list there are 7 + 1 + 4 things to do = <<7+1+4=12>>12 things to do in total.
Each thing takes 10 minutes to do, so 10 minutes x 12 things = <<10*12=120>>120 minutes.
An hour has 60 minutes in it, so 120 minutes / 60 minutes in an hour = <<120/60=2>>2 total hours it will take Trey to complete his list.
#### 2
|
James decides to build a tin house by collecting a certain number tins in a week. On the first day, he collects a certain number tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?
|
[
{
"keywords": [
"by",
"collecting",
"tins",
"in"
],
"value": "500"
},
{
"keywords": [
"he",
"collects",
"tins.",
"On"
],
"value": "50"
}
] |
On the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.
On the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins
The total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.
To reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.
Since the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal
#### 50
|
James goes out to eat. He orders a steak and egg meal for $16. He is with his friend, who orders chicken fried steak for $14. His friend pays for half the bill and James pays the tip along with his half of the bill. They tip a certain number How much did James pay?
|
[
{
"keywords": [
"They",
"tip",
"How",
"much"
],
"value": "20%."
}
] |
The meals cost 16+14=$<<16+14=30>>30
So each paid 30/2=$<<30/2=15>>15
James left a tip of 30*.2=$<<30*.2=6>>6
So James paid 15+6=$<<15+6=21>>21
#### 21
|
Sammy can eat 15 pickle slices. His twin sister Tammy can eat twice as much as Sammy. Their older brother Ron eats a certain number fewer pickles slices than Tammy. How many pickle slices does Ron eat?
|
[
{
"keywords": [
"Ron",
"eats",
"fewer",
"pickles"
],
"value": "20%"
}
] |
Tammy can eat twice as many pickle slices as Sammy who eats 15 so Tammy can eat 15*2 = <<15*2=30>>30 pickle slices
Ron eats 20% fewer pickle slices than Tammy who eats 30 pickle slices so that's .20*30 = <<20*.01*30=6>>6 fewer slices than Tammy
Tammy eats 30 slices and Ron eats 6 less, then Ron eats 30-6 = <<30-6=24>>24 pickle slices
#### 24
|
Cupcakes are sold in packages of a certain number and 15. Jean bought a certain number packs of 15 cupcakes. If she will give one cupcake each to 100 children in the orphanage, how many packs of 10 cupcakes should she need to buy?
|
[
{
"keywords": [
"Jean",
"bought",
"packs",
"of"
],
"value": "4"
},
{
"keywords": [
"packs",
"of",
"cupcakes",
"should"
],
"value": "10"
}
] |
Jean already bought 15 cupcakes x 4 packs = <<15*4=60>>60 cupcakes.
She needs 100 - 60 = <<100-60=40>>40 more cupcakes.
Thus, she needs to buy 40/10 = <<40/10=4>>4 packs of 10 cupcakes.
#### 4
|
At the beginning of the day there were a certain number apples in a basket. If Ricki removes 14 apples and Samson removes twice as many as Ricki. How many apples are left in the basket by the end of the day?
|
[
{
"keywords": [
"there",
"were",
"apples",
"in"
],
"value": "74"
}
] |
There are 74-14 = <<74-14=60>>60 apples left after Ricki removes some.
Samson removes 14*2 = <<14*2=28>>28 apples.
There are 60-28 = <<60-28=32>>32 apples left after Samson removes some.
#### 32
|
A school has a certain number classrooms. One-third of these classrooms have 30 desks in each classroom and the rest have a certain number desks in each classroom. Only one student can sit at one desk. How many students can this school accommodate so that everyone has their own desk?
|
[
{
"keywords": [
"school",
"has",
"classrooms.",
"One-third"
],
"value": "15"
},
{
"keywords": [
"rest",
"have",
"desks",
"in"
],
"value": "25"
}
] |
One-third of the classrooms have 30 desks, so there are 1/3 * 15 = <<1/3*15=5>>5 classrooms like that.
The rest, which means 15 - 5 = <<15-5=10>>10 classrooms, have 25 desks.
One-third of the classrooms can fit 5 * 30 = <<5*30=150>>150 students.
The rest can fit 10 * 25 = <<10*25=250>>250 students.
So in total, the school can be filled with 150 + 250 = <<150+250=400>>400 students.
#### 400
|
James decides to buy a new bed and bed frame. The bed frame is $75 and the bed is a certain number times that price. He gets a deal for a certain number off. How much does he pay for everything?
|
[
{
"keywords": [
"deal",
"for",
"off.",
"How"
],
"value": "20%"
},
{
"keywords": [
"bed",
"is",
"times",
"that"
],
"value": "10"
}
] |
The bed cost 75*10=$<<75*10=750>>750
So everything cost 750+75=$<<750+75=825>>825
He gets 825*.2=$<<825*.2=165>>165 off
So that means he pays 825-165=$<<825-165=660>>660
#### 660
|
James takes a certain number units per semester at community college. If each unit costs $50 how much does he pay for a certain number semesters?
|
[
{
"keywords": [
"James",
"takes",
"units",
"per"
],
"value": "20"
},
{
"keywords": [
"pay",
"for",
"semesters?"
],
"value": "2"
}
] |
He pays 20*50=$<<20*50=1000>>1000 per semester
So he pays 1000*2=$<<1000*2=2000>>2000
#### 2000
|
There are six chairs in each row in a church. If there are a certain number rows of chairs in the church, and each chair holds five people, calculate the number of people who have to sit in the chairs for the church to be full.
|
[
{
"keywords": [
"there",
"are",
"rows",
"of"
],
"value": "20"
}
] |
If there are six chairs in each row in the church, the total number of chairs in the church is 6*20 = <<6*20=120>>120
Since each chair holds 5 people, 5*120 = <<5*120=600>>600 people must sit in all of the chairs for the church to be full.
#### 600
|
Tim gets 6 hours of sleep 2 days in a row. To make up for it he sleeps a certain number hours the next 2 days. How much sleep did he get?
|
[
{
"keywords": [
"he",
"sleeps",
"hours",
"the"
],
"value": "10"
}
] |
He got 2*6=<<2*6=12>>12 hours the first 2 days.
The next 2 days he gets 2*10=<<2*10=20>>20 hours.
So he got 12+20=<<12+20=32>>32 hours.
#### 32
|
Jeanne wants to ride the Ferris wheel, the roller coaster, and the bumper cars. The Ferris wheel costs a certain number tickets, the roller coaster costs 4 tickets and the bumper cars cost 4 tickets. Jeanne has 5 tickets. How many more tickets should Jeanne buy?
|
[
{
"keywords": [
"wheel",
"costs",
"tickets,",
"the"
],
"value": "5"
}
] |
The total number of tickets needed is 5 tickets + 4 tickets + 4 tickets = <<5+4+4=13>>13 tickets.
Jeanne needs 13 tickets - 5 tickets = <<13-5=8>>8 tickets.
#### 8
|
Sam, Sid, and Steve brought popsicle sticks for their group activity in their Art class. Sam has thrice as many as Sid, and Sid has twice as many as Steve. If Steve has a certain number popsicle sticks, how many popsicle sticks can they use for their Art class activity?
|
[
{
"keywords": [
"Steve",
"has",
"popsicle",
"sticks,"
],
"value": "12"
}
] |
Sid has 12 x 2 = <<12*2=24>>24 sticks.
Sam has 24 x 3 = <<24*3=72>>72 sticks.
Thus, they have 24 + 72 + 12 = <<24+72+12=108>>108 popsicle sticks.
#### 108
|
John buys a certain number balloons. Each balloon holds a certain number liters of air. If he buys 500-liter tanks of gas, how many tanks does he need to buy to fill all the balloons?
|
[
{
"keywords": [
"John",
"buys",
"balloons.",
"Each"
],
"value": "1000"
},
{
"keywords": [
"balloon",
"holds",
"liters",
"of"
],
"value": "10"
}
] |
He needs 1000*10=<<1000*10=10000>>10000 liters of gas
So he needs 10000/500=<<10000/500=20>>20 tanks
#### 20
|
Nadia walked a certain number kilometers, which was twice as far as Hannah walked. How many kilometers did the two girls walk in total?
|
[
{
"keywords": [
"Nadia",
"walked",
"kilometers,",
"which"
],
"value": "18"
}
] |
Hannah = (1/2) 18 = 9
9 + 18 = <<9+18=27>>27 km
Together they walked 27 kilometers.
#### 27
|
Eric has a certain number marbles. He has 12 white marbles, a certain number blue marbles, and the rest are green marbles. How many green marbles does Eric have?
|
[
{
"keywords": [
"white",
"marbles,",
"blue",
"marbles,"
],
"value": "6"
},
{
"keywords": [
"Eric",
"has",
"marbles.",
"He"
],
"value": "20"
}
] |
Eric has a total of 12 + 6 = <<12+6=18>>18 white and blue marbles.
Thus, he has 20 - 18 = <<20-18=2>>2 green marbles.
#### 2
|
Lana and her friends go to a theater on the weekend to watch a new play Joan told them was live. When they arrived, Lana saw 100 cars in the front parking lot. She saw two times more vehicles at the back than there were in the front parking lot. If the total number of cars at the end of the play was a certain number how many more cars packed into the parking lot during the play?
|
[
{
"keywords": [
"play",
"was",
"how",
"many"
],
"value": "700,"
}
] |
The number of cars in the back parking lot was 100*2 = <<100*2=200>>200 times more than those in the front parking lot.
There were 200+100 = <<200+100=300>>300 cars in the back parking lot.
A total of 300+100 = <<300+100=400>>400 cars were present before the play began
The total number of cars that parked in the theater during the play is 700-400 = <<700-400=300>>300 cars
#### 300
|
If a solver flips a coin a certain number times and gets a head on 65 of the flips, how many more tails than heads did he get?
|
[
{
"keywords": [
"a",
"coin",
"times",
"and"
],
"value": "211"
}
] |
If the solver got a head in 65 of the 211 flips, he got 211-65 =<<211-65=146>>146 tails
The number of tails than he got more than head is 146-65=<<146-65=81>>81
#### 81
|
Mariel is a dog walker. While walking her pack of dogs, she gets tangled up in the leashes of another dog walker and their 3 dogs. There are a certain number legs tangled up in leashes. How many dogs is Mariel walking?
|
[
{
"keywords": [
"There",
"are",
"legs",
"tangled"
],
"value": "36"
}
] |
There are 2 dog walkers and they each have 2 legs so that's 2*2 = <<2*2=4>>4 legs
The other dog walker is walking 3 dogs that each have 4 legs so that's 3*4 = <<3*4=12>>12 legs
The dog walkers have 4 legs and the other dogs have 12 legs for a total of 4+12 = <<4+12=16>>16 legs
There are 36 legs total and 16 belong to the dog walkers and 3 dogs so that leaves 36-16 = <<36-16=20>>20 legs
Dogs have 4 legs and there are 20 legs so Mariel is walking 20/4 = 5 dogs
#### 5
|
A boat carrying 20 sheep, a certain number cows and 14 dogs capsized. 3 of the sheep drowned. Twice as many cows drowned as did sheep. All of the dogs made it to shore. How many total animals made it to the shore?
|
[
{
"keywords": [
"20",
"sheep,",
"cows",
"and"
],
"value": "10"
}
] |
The boat had 20 - 3 = <<20-3=17>>17 sheep make it to shore.
3 sheep drowned, so 2 * 3 = <<2*3=6>>6 cows drowned.
10 cows on the boat - 6 drowned = <<10-6=4>>4 cows made it to the shore.
17 sheep + 4 cows + 14 dogs = <<17+4+14=35>>35 animals made it to shore.
#### 35
|
The Rotary Club is holding its annual fundraising Omelet Breakfast, with tickets sold in advance. The tickets come in different price levels, for young children, older children, adults, and seniors. This year they sold 53 small children tickets, 35 older children tickets, a certain number adult tickets, and 37 senior tickets. To figure out how many eggs they need to buy, the club estimates that small children can eat a half omelet, older children can eat a whole omelet, adults will eat two omelets, and seniors will eat one and a half omelets. Just to be on the safe side, they get enough eggs to make 25 extra omelets. If they use 2 eggs for each omelet, how many eggs will they need to buy?
|
[
{
"keywords": [
"children",
"tickets,",
"adult",
"tickets,"
],
"value": "75"
}
] |
They'll need to make an estimated 0.5 * 53 = <<0.5*53=26.5>>26.5 omelets for small children.
They'll need to make an estimated 1 * 35 = <<1*35=35>>35 omelets for older children.
They'll need to make an estimated 2 * 75 = <<2*75=150>>150 omelets for the adults.
And they'll need to make an estimated 1.5 * 37 = <<1.5*37=55.5>>55.5 omelets for the seniors.
Along with the 25 extra omelets they'll make as a buffer, they will need enough eggs for 26.5 + 35 + 150 + 55.5 + 25 = <<26.5+35+150+55.5+25=292>>292 omelets.
So they will need 2 * 292 = <<2*292=584>>584 eggs.
#### 584
|
There are a certain number puppies and 3 dogs at a camp. Each dog eats twice as much food as a puppy, but each puppy eats three times as often as a dog. If a dog eats a certain number pounds of food three times a day, what would be the total amount of food the dogs and puppies eat in a day?
|
[
{
"keywords": [
"dog",
"eats",
"pounds",
"of"
],
"value": "4"
},
{
"keywords": [
"There",
"are",
"puppies",
"and"
],
"value": "4"
}
] |
Eating three times a day, a dog eats 3*4=<<3*4=12>>12 pounds of food.
Since there are 3 dogs at the camp, the total amount of food they eat is 3*12=<<3*12=36>>36 pounds of food in a day.
If each dog eats twice as much food as a puppy, a puppy will eat 4/2=<<4/2=2>>2 pounds of food in one meal.
Each puppy eats three times as often as a dog, and if a dog eats three times in a day, a puppy will eat 3*3= <<3*3=9>>9 times in a day.
Since a puppy eats 2 pounds of food a day, the total amount of food a puppy will eat in a day is 9*2=<<9*2=18>>18 pounds of food.
Four puppies in the camp eat 18*4=<<18*4=72>>72 pounds of food every day.
Together, the dogs and the puppies eat 72+36=<<72+36=108>>108 pounds of food in a day.
#### 108
|
Heloise has dogs and cats in the ratio of a certain number with the total number of pets being a certain number If she gives 10 dogs to her friend Janet, how many dogs does she remain with altogether?
|
[
{
"keywords": [
"pets",
"being",
"If",
"she"
],
"value": "189."
},
{
"keywords": [
"ratio",
"of",
"with",
"the"
],
"value": "10:17,"
}
] |
The total ratio for the number of cats and dogs that Heloise has is 10+17 = <<10+17=27>>27
From the ratios, the fraction representing the number of dogs is 10/27, and this represents 10/27*189 = <<10/27*189=70>>70 dogs.
If Heloise gives 10 of her dogs to Janet, she remains with 70-10 = <<70-10=60>>60 dogs.
#### 60
|
Antonio is preparing a meal of spaghetti and meatballs for his family. His recipe for meatballs calls for a certain number of a pound of hamburger per meatball. Antonio has 8 family members, including himself. If he uses 4 pounds of hamburger to make meatballs, and each member of the family eats an equal number of meatballs, how many meatballs will Antonio eat?
|
[
{
"keywords": [
"calls",
"for",
"of",
"a"
],
"value": "1/8"
}
] |
If one meatball is made from 1/8 pound of hamburger meat, then 4 pounds of hamburger meat will make 4/(1/8)=4*8=<<4/(1/8)=32>>32 meatballs.
32 meatballs divided amongst 8 family members is 32/8=<<32/8=4>>4 meatballs per family member.
#### 4
|
In 5 years, Andy will be twice as old as Rahim is now. Rahim is a certain number now. How much older is Andy than Rahim, right now, in years?
|
[
{
"keywords": [
"Rahim",
"is",
"now.",
"How"
],
"value": "6"
}
] |
Andy will be 2*6=<<2*6=12>>12.
Now he is 12-5=<<12-5=7>>7.
So Andy is 7-6=<<7-6=1>>1 year older than Rahim.
#### 1
|
In a show, there can be a certain number actors at a time. Every actor is in the show for about 1a certain number minutes, and then another 5 actors come in. How many actors can there be on the show in 1 hour?
|
[
{
"keywords": [
"then",
"another",
"actors",
"come"
],
"value": "5"
},
{
"keywords": [
"can",
"be",
"actors",
"at"
],
"value": "5"
}
] |
One hour is 60 minutes, so there can be 60 / 15 = <<60/15=4>>4 different sets of actors.
This means, that during one hour there can be 4 * 5 = <<4*5=20>>20 different actors in the show.
#### 20
|
Kurt's old refrigerator cost $0.85 a day in electricity. He recently bought a new energy-efficient refrigerator that only cost $0.45 a day in electricity. How much money does Kurt save in a a certain number month with his new refrigerator?
|
[
{
"keywords": [
"in",
"a",
"month",
"with"
],
"value": "30-day"
}
] |
The old refrigerator costs $0.85 a day so for 30 days it costs .85*30 = $<<0.85*30=25.50>>25.50
The new refrigerator costs $0.45 a day so for 30 days it costs .45*30 =$<<0.45*30=13.50>>13.50
Over 30 days, Kurt saves 25.50-13.50 = $<<25.50-13.50=12.00>>12.00 a month with his new refrigerator
#### 12
|
While cultivating a small farm, a farmer spent $50 on corn seeds, $35 on fertilizers and pesticides, and $15 on labor. After a successful harvest, he was able to gather a certain number bags of corn. How much should he sell each bag, if he wants to make a profit of a certain number
|
[
{
"keywords": [
"to",
"gather",
"bags",
"of"
],
"value": "10"
},
{
"keywords": [
"profit",
"of"
],
"value": "10%?"
}
] |
His total expenditure so far is $50+$35+$15 = $<<50+35+15=100>>100
To make a profit of 10%, he has to make a total of $100+($100*(10/100) = $<<100+(100*(10/100))=110>>110 from sales
To make $110 from the sales of 10 bags, each bag should cost $110/10 = $<<110/10=11>>11
#### 11
|
On a farm, on average every a certain number cows produce a certain number liters of milk per week. In five weeks the cows produced 2160 liters of milk. How many cows are on the farm?
|
[
{
"keywords": [
"cows",
"produce",
"liters",
"of"
],
"value": "108"
},
{
"keywords": [
"average",
"every",
"cows",
"produce"
],
"value": "6"
}
] |
Per week, one cow produces 108 liters / 6 cows = <<108/6=18>>18 liters/cow.
The cows produced 2160 liters of milk over 5 weeks. So we have 2160 liters / 18 liters/cow = <<2160/18=120>>120 cows.
Further, we have to divide 120 cows / 5 weeks = <<120/5=24>>24 cows.
#### 24
|
A hot air balloon with 200 balloons is blowing up. After about half an hour, a certain number of the total number of balloons in the hot air balloon have blown up. After another hour, twice the number of balloons that had already blown up also blow up. How many balloons in the hot air balloon remain intact?
|
[
{
"keywords": [
"an",
"hour,",
"of",
"the"
],
"value": "1/5"
}
] |
After half an hour, the number of balloons that had blown up is 1/5*200 = <<1/5*200=40>>40
The number of balloons that haven't blown up so far is 200-40 = <<200-40=160>>160
In the next hour, 2*40 = <<2*40=80>>80 balloons blow up.
The number of balloons that haven't blown up now is 160-80 = <<160-80=80>>80
#### 80
|
Viviana has five more chocolate chips than Susana, while Susana has a certain number as many vanilla chips as Viviana. If Viviana has a certain number Vanilla chips and Susana 25 chocolate chips, calculate the total number of chips they have together.
|
[
{
"keywords": [
"Susana",
"has",
"as",
"many"
],
"value": "3/4"
},
{
"keywords": [
"Viviana",
"has",
"Vanilla",
"chips"
],
"value": "20"
}
] |
Viviana has 20 Vanilla chips.
Susana has 25 chocolate chips.
Viviana has 25+5 = <<25+5=30>>30 chocolate chips.
Susana has 3/4*20 = <<3/4*20=15>>15 Vanilla chips.
They have 30+25 = <<30+25=55>>55 chocolate chips together.
Together they have 20+15 = <<20+15=35>>35 vanilla chips.
Together they have 35+55 = <<35+55=90>>90 chips
#### 90
|
In a card game, you are awarded a certain number points if you win one round. While playing, Jane ends up with 60 points. If she lost a certain number points, then how many rounds did she play?
|
[
{
"keywords": [
"she",
"lost",
"points,",
"then"
],
"value": "20"
},
{
"keywords": [
"are",
"awarded",
"points",
"if"
],
"value": "10"
}
] |
If Jane got 60 points and lost 20 points then the total number of points she accumulated in all the rounds was 60+20 = <<60+20=80>>80 points.
If each round is awarded 10 points, then the number of rounds will be 80/10 = <<80/10=8>>8 rounds.
#### 8
|
In a jar that has a certain number ants, the number of ants in the jar doubles each hour. How many ants will be in the jar after 5 hours?
|
[
{
"keywords": [
"that",
"has",
"ants,",
"the"
],
"value": "50"
}
] |
After first hour, 50 * 2 = <<50*2=100>>100 ants.
After the second hour, 100 * 2 = <<100*2=200>>200 ants.
After the third hour, 200 * 2 = <<200*2=400>>400 ants.
After the fourth hour, 400 * 2 = <<400*2=800>>800 ants.
After the fifth hour, 800 * 2 = <<800*2=1600>>1600 ants.
#### 1600
|
Eugene built a model house out of toothpicks and a deck of playing cards. For every card, he used a certain number toothpicks. The deck of playing cards had a certain number cards, and Eugene used all but 16 of the cards to build his house. If a box of toothpicks contains 450 toothpicks, how many boxes of toothpicks did Eugene use to create his model house?
|
[
{
"keywords": [
"he",
"used",
"toothpicks.",
"The"
],
"value": "75"
},
{
"keywords": [
"cards",
"had",
"cards,",
"and"
],
"value": "52"
}
] |
If Eugene used all but 16 of the 52 cards, then he used 52-16=<<52-16=36>>36 cards.
If for every card he used 75 toothpicks, then a box of toothpicks would have enough toothpicks for 450/75=<<450/75=6>>6 cards.
Since one box has enough toothpicks for 6 cards, then for 36 cards he would need 36/6=<<36/6=6>>6 boxes of toothpicks.
#### 6
|
Jeff committed to run for an hour a day during weekdays. On Thursday, he cut short his run by a certain number minutes but was able to jog a certain number minutes more on Friday. How many minutes was he able to run for that week?
|
[
{
"keywords": [
"to",
"jog",
"minutes",
"more"
],
"value": "10"
},
{
"keywords": [
"run",
"by",
"minutes",
"but"
],
"value": "20"
}
] |
Jeff was able to run a total of 60 x 3 = <<60*3=180>>180 minutes from Monday to Wednesday.
On Thursday, Jeff ran for 60 - 20 = <<60-20=40>>40 minutes only.
On Friday, he ran for 60 + 10 = <<60+10=70>>70 minutes.
Therefore, Jeff ran a total of 180 + 40 + 70 = <<180+40+70=290>>290 minutes.
#### 290
|
Randy has some money in his piggy bank. He spends a certain number dollars every time he goes to the store. He makes a certain number trips to the store every month. If he had $104 dollars left in his piggy bank after a year, how much money, in dollars, did he have at first?
|
[
{
"keywords": [
"He",
"spends",
"dollars",
"every"
],
"value": "2"
},
{
"keywords": [
"He",
"makes",
"trips",
"to"
],
"value": "4"
}
] |
Randy spends 2*4=<<2*4=8>>8 dollars every month.
Randy spends 8*12=<<8*12=96>>96 dollars in a year.
Randy had 96+104=<<96+104=200>>200 dollars in his piggy bank at first.
#### 200
|
At the bookstore, Sarah bought a certain number paperback books and a certain number hardback books. Her brother bought one-third as many paperback books as Sarah bought, and two times the number of hardback books that she bought. How many books did her brother buy in total?
|
[
{
"keywords": [
"Sarah",
"bought",
"paperback",
"books"
],
"value": "6"
},
{
"keywords": [
"books",
"and",
"hardback",
"books."
],
"value": "4"
}
] |
Her brother bought 6/3=<<6/3=2>>2 paperbacks
He bought 4*2=<<4*2=8>>8 hardbacks
In total he bought 2+8=<<2+8=10>>10 books
#### 10
|
It is recommended that men should consume no more than a certain number calories of added sugar per day. Mark took a soft drink in the afternoon that contained 2500 calories, 5% of which was from added sugar. Then he bought some bars of candy which had 25 calories of added sugar each. If he eventually exceeded the recommended intake of added sugar by a certain number how many bars of candy did he take?
|
[
{
"keywords": [
"sugar",
"by",
"how",
"many"
],
"value": "100%,"
},
{
"keywords": [
"more",
"than",
"calories",
"of"
],
"value": "150"
}
] |
He consumed 2500 calories, 5% of which is added sugar to give 2500*(5/100) = <<2500*(5/100)=125>>125 calories of added sugar.
He exceeded the recommended intake of 150 calories by 100% for a total consumption of 150+(150(100/100)) = $<<150+(150*100/100)=300>>300
This means he took in 300-125 = <<300-125=175>>175 calories from candy alone
Each candy had 25 calories so 175 calories which means he consumed 175/25 = <<175/25=7>>7 bars?
#### 7
|
The gummy bear factory manufactures a certain number gummy bears a minute. Each packet of gummy bears has a certain number gummy bears inside. How long would it take for the factory to manufacture enough gummy bears to fill 240 packets, in minutes?
|
[
{
"keywords": [
"bears",
"has",
"gummy",
"bears"
],
"value": "50"
},
{
"keywords": [
"factory",
"manufactures",
"gummy",
"bears"
],
"value": "300"
}
] |
The factory creates 300 gummy bears a minute, which means it produces 300 / 50 = <<300/50=6>>6 packets of gummy bears per minute.
It would take 240 / 6 = <<240/6=40>>40 minutes to manufacture enough gummy bears to fill 240 packets.
#### 40
|
A dental office gives away a certain number toothbrushes to every patient who visits. His a certain number hour days are packed and each visit takes .5 hours. How many toothbrushes does he give in a 5 day work week?
|
[
{
"keywords": [
"visits.",
"His",
"hour",
"days"
],
"value": "8"
},
{
"keywords": [
"gives",
"away",
"toothbrushes",
"to"
],
"value": "2"
}
] |
Each day he does 8/.5=<<8/.5=16>>16 visits
So he does 16*5=<<16*5=80>>80 visits a week
That means he gives away 80*2=<<80*2=160>>160 toothbrushes a week
#### 160
|
5 squirrels collected a certain number acorns. If each squirrel needs a certain number acorns to get through the winter, how many more acorns does each squirrel need to collect?
|
[
{
"keywords": [
"squirrels",
"collected",
"acorns.",
"If"
],
"value": "575"
},
{
"keywords": [
"squirrel",
"needs",
"acorns",
"to"
],
"value": "130"
}
] |
Each squirrel now has 575/5 = <<575/5=115>>115 acorns.
Each squirrel still needs to collect another 130 - 115 = <<130-115=15>>15 acorns.
#### 15
|
In a class of a certain number students, students were asked if they like French fries, burgers, or neither. 15 students said they like French fries and 10 said they like burgers, with these statistics including the responses of 6 students who said they like both French fries and burgers. How many students do not like either food?
|
[
{
"keywords": [
"class",
"of",
"students,",
"students"
],
"value": "25"
}
] |
There are 15 - 6 = <<15-6=9>>9 students who like French fries only.
There are 10 - 6 = <<10-6=4>>4 students who like burgers only.
So, 9 + 4 + 6 = <<9+4+6=19>>19 students like either French fries, burgers, or both.
Hence, 25 - 19 = <<25-19=6>>6 students do not like either fries or burgers.
#### 6
|
A coffee shop brews 10 coffee cups per hour on a weekday and a certain number coffee cups in total over the weekend. If the coffee shop is open a certain number hours a day every single day, how many coffee cups are brewed in 1 week?
|
[
{
"keywords": [
"is",
"open",
"hours",
"a"
],
"value": "5"
},
{
"keywords": [
"weekday",
"and",
"coffee",
"cups"
],
"value": "120"
}
] |
On a weekday, the shop produces 10 coffee cups per hour * 5 hours per weekday = <<10*5=50>>50 coffee cups.
The coffee shop therefore brewed 50 coffee cups per day * 5 weekdays in a week = <<50*5=250>>250 coffee cups.
So in total, the coffee shop brewed a total of 250 weekday coffee cups + 120 weekend coffee cups = <<250+120=370>>370 coffee cups in 1 week.
#### 370
|
Jenny has a tummy ache. Her brother Mike says that it is because Jenny ate 5 more than thrice the number of chocolate squares that he ate. If Mike ate a certain number chocolate squares, how many did Jenny eat?
|
[
{
"keywords": [
"Mike",
"ate",
"chocolate",
"squares,"
],
"value": "20"
}
] |
Thrice the number of chocolate squares that Mike ate is 20 squares * 3 = <<20*3=60>>60 squares.
Jenny therefore ate 60 squares + 5 squares = <<60+5=65>>65 chocolate squares
#### 65
|
Jake is retrieving the notes on a communal board, putting all of the red notes in the complaints bin and all of the blue notes in the compliments bin. The red notes were in a certain number rows with 6 notes in each row. There are a certain number blue notes under each of the red notes, as well as another 10 blue notes scattered at the bottom of the board. How many notes in total are put into the complaints and compliments bins?
|
[
{
"keywords": [
"There",
"are",
"blue",
"notes"
],
"value": "2"
},
{
"keywords": [
"were",
"in",
"rows",
"with"
],
"value": "5"
}
] |
There are a total of 5 rows of red notes * 6 notes per row = <<5*6=30>>30 red notes on the board.
There are 2 blue notes per red notes * 30 red notes = 60 blue notes under the red notes.
With the other blue notes at the bottom of the board, there are a total of 60 + 10 = <<60+10=70>>70 blue notes.
So in total, there are 30 red notes + 70 blue notes = <<30+70=100>>100 notes in total.
#### 100
|
Bob runs 6 miles per hour. His friend Jim runs at a certain number miles per hour. If Bob has a a certain number mile head-start, how many minutes will it take before Jim catches him?
|
[
{
"keywords": [
"runs",
"at",
"miles",
"per"
],
"value": "9"
},
{
"keywords": [
"has",
"a",
"mile",
"head-start,"
],
"value": "1"
}
] |
Bob runs .1 miles per minute because 6 / 60 = <<6/60=.1>>.1
Jim run at .15 miles per minute 9 / 60 = <<9/60=.15>>.15
We know that .1(Number of Minutes) + 1 = .15(Number of Minutes)
Therefore 1 = .05(Number of minutes)
Therefore (Number of minutes) = 20 because 1 / .05 = <<1/.05=20>>20
#### 20
|
A flagpole is a certain number feet tall. It breaks, folding over in half, such that what was the tip of the flagpole is now dangling two feet above the ground. How far from the base, in feet, did the flagpole break?
|
[
{
"keywords": [
"flagpole",
"is",
"feet",
"tall."
],
"value": "12"
}
] |
The break occurred (12-2)/2=5 feet from the top.
Then it was 12-5=<<12-5=7>>7 feet from the base.
#### 7
|
Paige bought some new stickers and wanted to share them with a certain number of her friends. She decided to share a sheet of 100 space stickers and a sheet of a certain number cat stickers equally among her 3 friends. How many stickers will she have left?
|
[
{
"keywords": [
"sheet",
"of",
"cat",
"stickers"
],
"value": "50"
},
{
"keywords": [
"among",
"her",
"friends.",
"How"
],
"value": "3"
}
] |
Paige has 100 space stickers that she is dividing among 3 friends, so 100 stickers / 3 friends = 33 stickers for each friend, with 1 remaining.
She also has 50 cat stickers that she is diving among 3 friends, so 50 stickers / 3 friends = 16 stickers for each friend, with 2 remaining.
So Paige will have 1 remaining space sticker + 2 remaining cat stickers = <<1+2=3>>3 stickers left.
#### 3
|
Matthew, the baker, arrives at work early every morning to make his famous caramel-apple coffee cakes for the day. It usually takes Matthew a certain number hour to assemble ingredients, a certain number hours to bake the cakes, and another 1 hour to decorate each cake with cinnamon sprinkles. One day, Matthew's oven failed to reach the correct temperature and it took twice as long for the cakes to bake as they usually take. On that day, how long did it take, in hours, for Matthew to make his famous caramel-apple coffee cakes?
|
[
{
"keywords": [
"assemble",
"ingredients,",
"hours",
"to"
],
"value": "1.5"
},
{
"keywords": [
"takes",
"Matthew",
"hour",
"to"
],
"value": "1"
}
] |
Twice 1.5 hours is 2*1.5=<<2*1.5=3>>3 hours.
Thus, on that day, it took Matthew 1+3+1=<<1+3+1=5>>5 hours to make the cakes.
#### 5
|
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