question
string | answer
string | full_solution
string | domain
string | name
string | description
string | public_tests
dict | private_tests
dict | generated_tests
dict | source
class label | difficulty
class label | solutions
dict | incorrect_solutions
dict | cf_contest_id
int64 | cf_index
string | cf_points
float32 | cf_rating
int32 | cf_tags
list | is_description_translated
bool | untranslated_description
string | time_limit
dict | memory_limit_bytes
int64 | input_file
string | output_file
string | Pre-Revision Question
string | Pre-Revision Correct Answer
string | Pre-Revision Incorrect Answer 1
string | Pre-Revision Incorrect Answer 2
string | Pre-Revision Incorrect Answer 3
string | Pre-Revision Explanation
string | Self-reported question-writing time (minutes)
float64 | Question
string | Correct Answer
string | Incorrect Answer 1
string | Incorrect Answer 2
string | Incorrect Answer 3
string | Explanation
string | Revision Comments (from Question Writer)
string | Subdomain
string | Writer's Difficulty Estimate
string | Extra Revised Question
string | Extra Revised Explanation
string | Extra Revised Correct Answer
string | Extra Revised Incorrect Answer 1
string | Extra Revised Incorrect Answer 2
string | Extra Revised Incorrect Answer 3
string | Non-Expert Validator Accuracy
float64 | Majority Non-Expert Vals Incorrect
float64 | Expert Validator Accuracy
float64 | Record ID
string | High-level domain
string | Question Writer
string | Feedback_EV_1
string | Validator Revision Suggestion_EV_1
string | Is First Validation_EV_1
bool | Post hoc agreement_EV_1
string | Sufficient Expertise?_EV_1
string | Understand the question?_EV_1
string | Question Difficulty_EV_1
string | Validator Answered Correctly_EV_1
int64 | Self-reported time (minutes)_EV_1
float64 | Probability Correct_EV_1
string | Manual Correctness Adjustment_EV_1
string | Expert Validator_EV_1
string | Feedback_EV_2
string | Validator Revision Suggestion_EV_2
string | Is First Validation_EV_2
bool | Post hoc agreement_EV_2
string | Sufficient Expertise?_EV_2
string | Understand the question?_EV_2
string | Question Difficulty_EV_2
string | Validator Answered Correctly_EV_2
int64 | Self-reported time (minutes)_EV_2
float64 | Probability Correct_EV_2
string | Manual Correctness Adjustment_EV_2
string | Expert Validator_EV_2
string | Feedback_NEV_1
string | Validator Answered Correctly_NEV_1
int64 | Explanation_NEV_1
string | Self-reported time (minutes)_NEV_1
float64 | Websites visited_NEV_1
string | Probability Correct_NEV_1
string | Manual Correctness Adjustment_NEV_1
float64 | Non-Expert Validator_NEV_1
string | Feedback_NEV_2
string | Validator Answered Correctly_NEV_2
int64 | Explanation_NEV_2
string | Self-reported time (minutes)_NEV_2
float64 | Websites visited_NEV_2
string | Probability Correct_NEV_2
string | Manual Correctness Adjustment_NEV_2
float64 | Non-Expert Validator_NEV_2
string | Feedback_NEV_3
string | Validator Answered Correctly_NEV_3
float64 | Explanation_NEV_3
string | Self-reported time (minutes)_NEV_3
float64 | Websites visited_NEV_3
string | Probability Correct_NEV_3
string | Manual Correctness Adjustment_NEV_3
float64 | Non-Expert Validator_NEV_3
string | Expert Validator Disagreement Category
float64 | Canary String
string | prompt
string | prompt_id
string | messages
list | article
string | highlights
string | id
string | instruction
string | input
string | output
string | text
string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
There were 349 pieces of candy in a bowl. Talitha took 108 pieces and Solomon took 153 pieces. How many pieces of candy remain in the bowl?
|
88
|
349 - 108 = 241 and 241 - 153 = 88
There are 88 pieces of candy left in the bowl.
#### 88
|
math
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In a 5-day Fishing competition, Jackson was able to reel a total of 6 fishes per day, Jonah was able to reel 4 fishes per day and George was able to reel 8 fishes per day. How many fishes were they able to catch throughout the competition if they are on the same team?
|
90
|
Jackson gets a total of 6x5= <<6*5=30>>30 fishes after the competition.
Jonah gets 4x5= <<4*5=20>>20 fishes after the competition.
And George was able to get 8x5=<<8*5=40>>40 fishes after the competition.
Therefore the total fishes they were able to get for their team is 30+20+40= <<30+20+40=90>>90.
#### 90
|
math
| null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
Marcia wants to buy some fruit. Apples cost $2, bananas cost $1, and oranges cost $3. If Marcia buys 12 apples, 4 bananas and 4 oranges, what is the average cost of each piece of fruit in dollars?
|
2
|
Find the price of each group of fruit
12 apples * $2 per apple = $<<12*2=24>>24
4 bananas * $1 per banana = $<<4*1=4>>4
3 oranges * $4 per orange = $<<3*4=12>>12
$24 + $4 + $12 = $<<24+4+12=40>>40 in total that was spent
12 + 4 + 4 = <<12+4+4=20>>20 total fruits bought
$40 / 20 fruits = $<<40/20=2>>2 per fruit
#### 2
|
math
| null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
A judge oversaw seventeen court cases. Two were immediately dismissed from court. Two-thirds of the remaining cases were ruled innocent, one ruling was delayed until a later date, and the rest were judged guilty. On how many cases did the judge rule guilty?
|
4
|
The judge dismissed 2 cases, leaving 17 - 2 = <<17-2=15>>15 cases.
Of the remaining 15 cases, 2 / 3 * 15 = <<2/3*15=10>>10 were ruled innocent.
One ruling was delayed, so the judge ruled guilty on 15 - 10 - 1 = <<15-10-1=4>>4 cases.
#### 4
|
math
| null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
Jerry finds six hawk feathers and 17 times as many eagle feathers as hawk feathers. If he gives 10 feathers to his sister and sells half the remaining feathers, how many does he have left?
|
49
|
First find how many eagle feathers he found: 17 * 6 feathers = <<17*6=102>>102 feathers
Then add the number of hawk feathers he found: 102 feathers + 6 feathers = <<102+6=108>>108 feathers
Then subtract the number of feathers Jerry gave to his sister: 108 feathers - 10 feathers = <<108-10=98>>98 feathers
Then divide that number by 2 to find how many feathers Jerry has left: 98 feathers / 2 = <<98/2=49>>49 feathers
#### 49
|
math
| null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
Mandy is 3 years old. Her brother is 4 times as old as she is. Her sister is 5 years younger than her brother. What is the age difference between Mandy and her sister?
|
4
|
Mandy's brother's age is 3 years x 4 = <<3*4=12>>12 years old.
Her sister's age is 12 years - 5 years = <<12-5=7>>7 years old.
The age difference between Mandy and her sister is 7 years - 3 years = <<7-3=4>>4 years.
#### 4
|
math
| null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
John takes a 20-foot log and cuts it in half. If each linear foot of the log weighs 150 pounds how much does each cut piece weigh?
|
1500
|
Each cut piece is 20/2=<<20/2=10>>10 feet long
So they each weigh 10*150=<<10*150=1500>>1500 pounds
#### 1500
|
math
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Willy has 10 stuffed animals. His mom gives him 2 more stuffed animals for his birthday. After his birthday, if his dad gives him 3 times more stuffed animals than he has, how many stuffed animals does Willy have in total?
|
48
|
After his mom gives him stuffed animals, Willy has 10 + 2 = <<10+2=12>>12 stuffed animals
His dad gives him 12 * 3 = <<12*3=36>>36 stuffed animals
In total, Willy has 12 + 36 = <<12+36=48>>48 stuffed animals
#### 48
|
math
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John bakes 12 coconut macaroons, each weighing 5 ounces. He then packs an equal number of the macaroons in 4 different brown bags, ready for delivery. When he briefly leaves the kitchen to pick the phone, his little brother Steve eats the entire contents of one of the brown bags. What is the total weight, in ounces, of the remaining coconut macaroons?
|
45
|
Each brown bag has 12/4 = <<12/4=3>>3 macaroons
After Steve eats a bag, there are 12-3 = <<12-3=9>>9 macaroons left
The total weight is therefore 9 * 5 = <<9*5=45>>45 ounces.
#### 45
|
math
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Nathan is buying decorations for his wedding reception. The reception hall will have 20 tables. Each table needs a linen tablecloth ($25 to rent), 4 place settings ($10 each to rent), and a centerpiece. Each centerpiece will have 10 roses ($5 each) and 15 lilies ($4 each). How much will the decorations cost?
|
3500
|
First find how much the roses for one centerpiece cost: $5/rose * 10 roses = $<<5*10=50>>50
Then find how much the lilies for one centerpiece cost: $4/rose * 15 roses = $<<4*15=60>>60
Then find how much the table settings for one table cost: 4 settings * $10/setting = $<<4*10=40>>40
Then add the cost of both types of flowers, the place settings, and the tablecloth to find the total cost per table: $50 + $60 + $40 + $25 = $<<50+60+40+25=175>>175
Then multiply the cost per table by the number of tables to find the total cost: $175/table * 20 tables = $<<175*20=3500>>3500
#### 3500
|
math
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Hana sold 4/7 of her stamp collection for $28. How much would she have earned from selling the entire collection?
|
49
|
Hana sold 4/7 of her collection for $28, so 1/7 of her collection represents: 28/4 = $<<28/4=7>>7.
And as a result, the entire collection represents: 7 * 7 = $<<7*7=49>>49.
#### 49
|
math
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Rubble has $15 in his pocket and he needs to buy 2 notebooks and 2 pens. Each notebook cost $4.00 meanwhile each pen cost $1.50. How much money will be left from Rubble after the purchase?
|
4
|
The total cost of two notebooks is $4.00 x 2 = $<<4*2=8.00>>8.00.
The total cost of two pen $1.50 x 2 = $<<1.5*2=3.00>>3.00.
So, the total amount Rubble spent for all the stuff was $8.00 + $3.00 = $<<8+3=11.00>>11.00.
Therefore, Rubble was left off with $15.00 - $11.00 = $<<15-11=4.00>>4.00.
#### 4
|
math
| null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
Salvadore earned $1956. Santo earned half of what Salvadore earned. How much money did the two men earn together?
|
2934
|
Santo = (1/2) 1956 = $978
1956 + 978 = $<<1956+978=2934>>2934
Together Salvadore and Santo earned $<<2934=2934>>2934.
#### 2934
|
math
| null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
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 36 legs tangled up in leashes. How many dogs is Mariel walking?
|
5
|
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
|
math
| null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
Kim has 12 nail polishes. Heidi has 5 more nail polishes than Kim, and Karen has 4 fewer nail polishes than Kim. How many nail polishes does Karen and Heidi have together?
|
25
|
Heidi has 12+5 = <<12+5=17>>17 nail polishes.
Karen has 12-4 = <<12-4=8>>8 nail polishes.
Heidi and Karen have 17+8 = <<17+8=25>>25 nail polishes together.
#### 25
|
math
| null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
Ellie went to visit a circus with Sarah and they both got lost in the house of mirrors. They have to travel through the house of mirrors a few times before they finally get out and when they leave, they discuss how many times they've seen their own reflections. Sarah says that every time they were in the room with tall mirrors, she saw her reflection 10 times and every time they were in the room with wide mirrors, she saw her reflection 5 times. Ellie says that every time they were in the room with tall mirrors, she saw her reflection 6 times and every time they were in the room with wide mirrors she saw her reflection 3 times. They both passed through the room with tall mirrors 3 times each and they both passed through the room with wide mirrors 5 times each. In total, how many times did Sarah and Ellie see their reflections?
|
88
|
In the rooms with tall mirrors, Sarah saw her reflection a total of 10 reflections * 3 passes = <<10*3=30>>30 times.
In the rooms with wide mirrors, Sarah saw her reflection a total of 5 reflections * 5 passes = <<5*5=25>>25 reflections.
So Sarah saw her reflection a total of 30 + 25 = <<30+25=55>>55 times.
In the rooms with tall mirrors, Ellie saw her reflection a total of 6 reflections * 3 passes = <<6*3=18>>18 times.
In the rooms with wide mirrors, Ellie saw her reflection a total of 3 reflections * 5 passes = <<3*5=15>>15 times.
So Ellie saw her reflection a total of 18 + 15 = <<18+15=33>>33 times.
Therefore, Sarah and Ellie saw their reflections a total of 55 + 33 = <<55+33=88>>88 times.
#### 88
|
math
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Max can trade 3 coconuts for a crab and 6 crabs for a goat. If he has 342 coconuts and he wants to convert all of them into goats, how many goats will he have?
|
19
|
First find the number of crabs Max can get by dividing the number of coconuts by the exchange rate with crabs: 342 coconuts / 3 coconuts/crab = <<342/3=114>>114 crabs
Then divide the number of crabs by the exchange rate with goats: 114 crabs / 6 crabs/goat = <<114/6=19>>19 goats
#### 19
|
math
| null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null |
John received 20 gifts on his 12th birthday. He received 8 fewer gifts on his 13th birthday. How many total gifts did he receive between those two birthdays?
|
32
|
He got 20-8=12 gifts on his 13th birthday
So he got 20+12=<<20+12=32>>32 total gifts
#### 32
|
math
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John buys 3 dress shirts. They sell for $20 each. He also has to pay 10% tax on everything. How much did he pay in total?
|
66
|
The shirts cost 3*$20=$<<3*20=60>>60 before tax
The tax cost $60*.1=$<<60*.1=6>>6
So in total they paid $60+$6=$<<60+6=66>>66
#### 66
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math
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Ibrahim wants to buy an MP3 player for 120 euros and a CD for 19 euros. He has 55 euros in savings. His father participates in his purchase by giving him 20 euros. How much money does Ibrahim lack?
|
64
|
The total price of the purchases is 120 + 19 = <<120+19=139>>139 euros.
The amount of money he has after his father's help is 55 + 20 = <<55+20=75>>75 euros.
The purchase amount is 139 euros, so he is missing 139 – 75 = <<139-75=64>>64 euros.
#### 64
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math
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A group of 4 fruit baskets contains 9 apples, 15 oranges, and 14 bananas in the first three baskets and 2 less of each fruit in the fourth basket. How many fruits are there?
|
146
|
For the first three baskets, the number of apples and oranges in one basket is 9+15=<<9+15=24>>24
In total, together with bananas, the number of fruits in one basket is 24+14=<<24+14=38>>38 for the first three baskets.
Since there are three baskets each having 38 fruits, there are 3*38=<<3*38=114>>114 fruits in the first three baskets.
The number of apples in the fourth basket is 9-2=<<9-2=7>>7
There are also 15-2=<<15-2=13>>13 oranges in the fourth basket
The combined number of oranges and apples in the fourth basket is 13+7=<<13+7=20>>20
The fourth basket also contains 14-2=<<14-2=12>>12 bananas.
In total, the fourth basket has 20+12=<<20+12=32>>32 fruits.
The four baskets together have 32+114=<<32+114=146>>146 fruits.
#### 146
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math
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John buys 3 boxes of burritos. He gives away a 3rd of them to his friend. Each box has 20 burritos. He eats 3 burritos per day for 10 days. How many burritos does he have left?
|
10
|
He gave 3/3=<<3/3=1>>1 box away
So he has 3-1=<<3-1=2>>2 boxes
So he got 2*20=<<2*20=40>>40 burritos
He ate 3*10=<<3*10=30>>30 burritos
So he has 40-30=<<40-30=10>>10 burritos left
#### 10
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math
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A total of 42 baby sea turtles hatched and are headed to the ocean. One-third of them got swept to the sea by a wave. How many are still on the sand?
|
28
|
This many baby turtles are in the ocean: 42 / 3 = <<42/3=14>>14 turtles.
This many baby turtles are still on the sand: 42 - 14 = <<42-14=28>>28 turtles.
#### 28
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math
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Ethan makes beeswax candles. For each candle, he uses 8 ounces of beeswax and 1 ounce of coconut oil. If he makes three less than 10 candles, what will be the combined weight of the candles in ounces?
|
63
|
If each candle is 8 ounces of beeswax and 1 ounce of coconut oil, then each candle weighs 8+1=<<8+1=9>>9 ounces.
Three less than 10 candles is 10-3=<<10-3=7>>7 candles.
Thus, 7 candles, each weighing 9 ounces, will have a combined weight of 7*9=<<7*9=63>>63 ounces.
#### 63
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math
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The bowling alley has 30 red bowling balls. There are 6 more green bowling balls than red. How many bowling balls are there in total?
|
66
|
There are 30 + 6 = <<30+6=36>>36 green bowling balls
In total there are 30 + 36 = <<30+36=66>>66 bowling balls
#### 66
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math
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Daniela goes shopping during a sale. She finds out that the store has 40 percent off on shoes and 20 percent off dresses. If Daniela buys 2 pairs of shoes originally priced at $50 a pair and a dress originally priced at $100, how much money does she spend?
|
140
|
Two pairs of shoes at $50 a pair costs $50 x 2 = $<<50*2=100>>100.
The shoes are discounted by 40 percent so she only pays 100 - 40 = <<100-40=60>>60 percent of the original price.
Therefore the two pairs of shoes cost $100 x 0.60 = $<<100*0.60=60>>60.
The dress is discounted by 20 percent so she only pays 100 - 20 = <<100-20=80>>80 percent of the original price.
Therefore the dress costs $100 x 0.80 = $<<100*0.80=80>>80.
In total Daniela spends $60 + $80 = $<<60+80=140>>140 for two pairs of shoes and a dress.
#### 140
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math
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Candice buys all the bread she and her family needs for the week from a local bakery. She needs 2 loaves of white bread for sandwiches that cost $3.50 each. She also needs a baguette that costs $1.50 and 2 loaves of sourdough bread that cost $4.50 each. She also treats herself to a $2.00 almond croissant each visit. How much does Candice spend at the bakery over 4 weeks?
|
78
|
2 loaves of white bread are $3.50 each so they cost 2*3.50 = $<<2*3.50=7.00>>7.00
2 loaves of sourdough bread are $4.50 each so they cost 2*4.50 = $<<2*4.50=9.00>>9.00
The white bread comes to $7.00, the sourdough is $9.00 and she gets a baguette for $1.50 and a croissant for $2.00 so she spends 7+9+1+2 = $19.50 per week
If she buys this same order of $19.50 every week for 4 weeks then she spends 19.50*4 = $<<19.50*4=78.00>>78.00 over 4 weeks
#### 78
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math
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Micah has 7 fish in his aquarium. Kenneth has three times as many fish in his aquarium and Matthias has 15 less fish than Kenneth in his aquarium. How many fish do the boys have in total?
|
34
|
Kenneth has 7 x 3 = <<7*3=21>>21 fish in his aquarium.
Matthias has 21 - 15 = <<21-15=6>>6 fish in his aquarium.
In total, the boys have 7 + 21 + 6 = <<7+21+6=34>>34 fish.
#### 34
|
math
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Iris’ family is planning a surprise birthday party for her. The party will include her 3 uncles and 4 aunts who have a son and daughter each as well as her brother and mother. In total, how many people are coming to Iris’ birthday party?
|
23
|
Each of her aunts and uncles have a family unit of 1 son + 1 daughter + 1 aunt/uncle = <<1+1+1=3>>3 people.
Iris has a total of 3 uncles + 4 aunts = <<3+4=7>>7 aunts or uncles in these family units.
So among her aunts, uncles, and cousins, there will be 7 family units * 3 people in each family unit = <<7*3=21>>21 people.
Including her mother and brother, there will be a total of 21 people + 1 mother + 1 brother = <<21+1+1=23>>23 people coming to her party.
#### 23
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math
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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 1 plate each. On the remainder of the days, his parents join them and everyone uses 2 plates that day. How many plates does he need to buy?
|
38
|
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
|
math
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A captain steers his ship 100 miles north on the first day of their journey. On the second day, he sails to the east three times as far as the distance as he covered on the first day. On the third day, the ship travels further east for 110 more miles than the distance it covered on the second day. What is the total distance the ship has traveled in the three days?
|
810
|
If the ship traveled 100 miles to the north, it sailed for a distance of 3 * 100 miles = 300 miles to the east on the second day.
On the third day, the sheep sailed for 300 miles + 110 miles = <<300+110=410>>410 miles.
The distance covered by the ship in the three days is 410 miles + 300 miles + 100 miles = <<410+300+100=810>>810 miles
#### 810
|
math
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Rene has three times as many dolls as her sister, while her sister has two more dolls than their grandmother. If their grandmother has 50 dolls, how many dolls do they have altogether?
|
258
|
If the grandmother has 50 dolls, Rene's sister, who has 2 more dolls than their grandmother, has 50+2 = <<50+2=52>>52 dolls.
Together, Rene's sister and the grandmother have 52+50 = <<52+50=102>>102 dolls.
Since Rene has three times as many dolls as her sister, she has 52*3 = <<52*3=156>>156 dolls.
Altogether, they have 156+102 = <<156+102=258>>258 dolls.
#### 258
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math
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Johns goes to the gym 3 times a week. He spends 1 hour each day lifting weight. Additionally, he also spends a third of his weightlifting time warming up and doing cardio each day. How many hours does he spend at the gym a week?
|
4
|
He spends 60/3=<<60/3=20>>20 minutes warming up
So he spends 60+20=<<60+20=80>>80 minutes at the gym per day
That means he spends 80*3=<<80*3=240>>240 minutes at the gym
So he spends 240/60=<<240/60=4>>4 hours at the gym a week
#### 4
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math
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The rainy season is here, Jan collected 65 gallons of water in a barrel outside her home. She uses 7 gallons of water each to clean the two cars and uses 11 fewer gallons than the two cars to water the plants. Then, she uses half of the remaining gallons of water to wash the plates and clothes. How many gallons of water does Jan use to wash her plates and clothes?
|
24
|
She uses 7 x 2 = <<7*2=14>>14 gallons of water to clean the two cars.
She uses 14 - 11 = <<14-11=3>>3 gallons of water to water the plants.
The total gallons of water that she uses to clean the cars and to water the plants is 14 + 3 = <<14+3=17>>17.
Jan has 65 - 17 = <<65-17=48>>48 gallons of water remaining after cleaning the cars and watering the plants.
Jan uses 48 / 2 = <<48/2=24>>24 gallons of water to wash her plates and clothes.
#### 24
|
math
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Peggy is moving and is looking to get rid of her record collection. Sammy says that he will buy all of them for 4 dollars each. Bryan is only interested in half of the records but will offer 6 dollars each for the half that he is interested in and 1 dollar each for the remaining half that he is not interested in with the hopes that he can resell them in bulk later. If Peggy has 200 records, what is the difference in profit between Sammy versus Bryan's deal?
|
100
|
Sammy is offering to take the whole collection of 200 records and pay Peggy 4 dollars each for them which would net Peggy 200 * 4=<<200*4=800>>800 dollars for her entire record collection.
Bryan is willing to buy Peggy's entire record collection but at two different price points, half at one point and half at another. Half of Peggy's record collection is 200/2=<<200/2=100>>100, which means that 100 records will sell for one price and 100 records will sell for another price.
Bryan is willing to pay more for the half of the record collection that he is interested in so Peggy would net 100 * 6=<<100*6=600>>600 dollars for the first half of her record collection.
For the half of the collection that Bryan is just planning on reselling at a later date, he is willing to offer Peggy 100 *1=<<100*1=100>>100 dollars to take off of her hands.
In total Bryan is willing to offer Peggy 600+100=<<600+100=700>>700 dollars for her entire record collection.
If Sammy is offering 800 dollars to buy Peggy's entire record collection and Bryan is offering 700 dollars for Peggy's entire record collection, then Peggy's net profit would be 800-700=<<800-700=100>>100 dollars more by taking Sammy's deal instead of Bryan's deal.
#### 100
|
math
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Allie, Rob, and Allyn each bought a bowl of grapes. Allie's bowl contained two more grapes than Rob's bowl. Allyn's bowl contained four more grapes than Allie's bowl. If Rob's bowl contained 25 grapes, what is the total combined number of grapes in all three bowls?
|
83
|
If Allie's bowl contained two more grapes than Rob's bowl, there were 25+2=<<25+2=27>>27 grapes in Allie's bowl.
If Allyn's bowl contained four more grapes than Allie's bowl, there were 27+4=<<27+4=31>>31 grapes in Allyn's bowl.
The total combined number of grapes in all three bowls is 25+27+31=<<25+27+31=83>>83 grapes.
#### 83
|
math
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Ben spends 20% of his after-tax income on his car. If his car payment is $400 and he pays 1/3 of his gross income in taxes, how much does he make per month before taxes?
|
3000
|
First divide that amount of the car payment by 20% to find Ben's after-tax salary: $400 / .2 = $<<400/.2=2000>>2000
Then find the proportion of his salary Ben keeps after taxes by subtracting the tax rate from 1: 1 - 1/3 = 2/3
Then divide Ben's after-tax salary by the proportion of his salary he keeps to find his before-tax salary: $2000 / 2/3 = $3000
#### 3000
|
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Bruce's aunt gave him $71 to spend on clothes at the mall. He bought 5 shirts that cost $5 each and a pair of pants that cost $26. How much money does Bruce have left to buy more clothes?
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20
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Bruce spent 5 * $5 on shirts = $<<5*5=25>>25.
Including the pants, Bruce spent $25 + $26 = $<<25+26=51>>51.
Since he began with $71, he has $71 - $51 spent = $<<71-51=20>>20 remaining.
#### 20
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Debbie works at a post office packing boxes to mail. Each large box takes 4 feet of packing tape to seal, each medium box takes 2 feet of packing tape to seal, and each small box takes 1 foot of packing tape to seal. Each box also takes 1 foot of packing tape to stick the address label on. Debbie packed two large boxes, eight medium boxes, and five small boxes this afternoon. How much tape did she use?
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44
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Debbie used 4 * 2 = <<4*2=8>>8 feet of tape for the large boxes.
She used 2 * 8 = <<2*8=16>>16 feet of tape for the medium boxes.
She used 1 * 5 = <<1*5=5>>5 feet of tape for the small boxes.
There were 2 + 8 + 5 = <<2+8+5=15>>15 boxes in all.
She used 1 * 15 = <<1*15=15>>15 feet of tape for the address labels.
Thus, she used 8 + 16 + 5 + 15 = <<8+16+5+15=44>>44 feet of tape in all.
#### 44
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Greg drives 30 miles from his workplace to the farmer's market. After buying his groceries at the farmers market, he drives home. To get home, he travels for 30 minutes at 20 miles per hour. How many miles in total does Greg travel?
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40
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We must first convert minutes to hours, so 30 minutes * (1 hour/60 minutes) = <<30*(1/60)=0.5>>0.5 hours
The number of miles Greg travels on his trip home is 0.5 hours * 20 mph = <<0.5*20=10>>10 miles
The total miles Greg travels is 10 + 30 = <<10+30=40>>40 miles
#### 40
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Boris has 100 pieces of Halloween candy. His daughter eats 8 pieces of candy. He separates the remaining pieces of candy into equal portions into 4 different bowls. Then he takes away 3 pieces of candy from each bowl to keep for himself. How many pieces of candy are in one bowl?
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20
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After his daughter eats some candy, Boris has 100 - 8 = <<100-8=92>>92 pieces of candy
In one bowl, there are 92 / 4 = <<92/4=23>>23 pieces of candy
After Boris takes some candy for himself, there are 23 - 3 = <<23-3=20>>20 pieces of candy in one bowl
#### 20
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Lydia has 80 plants. 40% of her plants are flowering plants. Lydia wants to place a fourth of her flowering plants on the porch. If each flowering plant produces 5 flowers, how many flowers are there in total on the porch?
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40
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Lydia has 80 * 0.40 = <<80*0.40=32>>32 flowering plants
Lydia places 32 / 4 = <<32/4=8>>8 of the flowering plants on the porch
There are 8 * 5 = <<8*5=40>>40 flowers on the porch
#### 40
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Keegan is in school for 7.5 hours each day and he is taking 7 classes. He has history and chemistry classes for a combined total of 1.5 hours. How many minutes does Keegan spend in one of his other classes on average?
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72
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He has 7-2=<<7-2=5>>5 other classes
7.5 hours - 1.5 hours = <<7.5-1.5=6>>6 hours
6 hours = <<6*60=360>>360 minutes
360/5 = <<360/5=72>>72 minutes
Keegan spends 72 minutes in one of his other classes.
#### 72
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Mike bought a DVD of his favorite movie. He paid $5 for it at the store. A friend of Mike's, Steve, saw this and also decided to buy a DVD of the movie, but it was already sold out. He needed to order it online, which cost him twice as much. And in addition, he needed to pay the shipping costs which were 80% of the price of the film he ordered. How much did Steve pay to get the DVD in total?
|
18
|
The cost of the movie online was twice what Mike paid, so 2 * 5 = $<<2*5=10>>10.
The shopping costs were standing at 80/100 * 10 = $<<80/100*10=8>>8.
So in total Steve paid 10 + 8 = $<<10+8=18>>18.
#### 18
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The class has to guess how many jellybeans are in a jar the teacher brought in. He lets 4 students make their guesses. The first thinks it contains 100 jellybeans. The second says there are 8 times as many. The third guesses 200 less than the third. The fourth takes the average of the first three guesses, and then adds 25 to it. How many jellybeans did the fourth student guess?
|
525
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The second student guessed 800 because 8 x 100 = <<800=800>>800
The third guessed 600 because 800 - 200 = <<800-200=600>>600
The total guesses of the first three is 1500 because 100 + 800 + 600 = <<100+800+600=1500>>1500
The average of the first three guesses is 500 because 1500 / 3 = <<1500/3=500>>500
The fourth student guessed 525 because 500 + 25 = <<500+25=525>>525
#### 525
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Tony bought 3 lottery tickets and chose identical numbers on each ticket. He finds out that 5 of the numbers on each lottery ticket are winning numbers. If each winning number is worth $20 then how much money, in dollars, has Tony won in total?
|
300
|
Across all of the lottery tickets, Tony has a total of 3 lottery tickets * 5 winning numbers per lottery ticket = <<3*5=15>>15 winning numbers.
Across all the numbers, he has won a total of 15 winning numbers * $20 per winning number = $<<15*20=300>>300.
#### 300
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While on vacation in Hawaii, Steve and Georgia decided to ship pineapples to their home. Each pineapple costs $1.25 and they buy a dozen. It will cost $21.00 to ship all of them to their home. How much will each pineapple end up costing them?
|
3
|
They bought 12 pineapples for $1.25 apiece so 12*1.25 = $<<12*1.25=15.00>>15.00
The pineapples cost $15.00 and it will cost $21.00 to ship so all total, it costs 15+21 = $<<15+21=36.00>>36.00
In total it costs $36.00 to ship home a dozen pineapples so each pineapple costs 36/12 = $<<36/12=3.00>>3.00 apiece
#### 3
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math
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Ariana heard the news that a new grocery store had opened up in their town, so she decided to buy some flowers for her house. She bought a bunch of 40 flowers, 2/5 of which were roses, 10 were tulips, and the rest were carnations. How many carnations did she buy?
|
14
|
The number of roses in the bunch is 2/5 * 40 flowers = <<2/5*40=16>>16 flowers
The total number of roses and tulips is 16 flowers + 10 flowers = <<16+10=26>>26 flowers
There were 40 flowers - 26 flowers = <<40-26=14>>14 carnations
#### 14
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math
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James's favorite basketball player got paid based on how many points he averaged each week. He gets $10,000 if he averages 30 or more points a game and $8,000 if he averages under 30 points a game. For his last week, in the first game he scored 30 points and in the second game he scored 28 points. In the third game he scored 32 points. In the fourth game he scored 34 points and in the fifth game he scored 26 points. How much does he get paid for the week?
|
10,000
|
His favorite player scored 150 total points that week because 30 plus 28 plus 32 plus 34 plus 26 equals 150
He averaged 30 points a game because 150 divided by 5 equals <<150/5=30>>30.
He gets paid $10,000 because that's how much he gets if he averages 30 or more points that week.
#### 10,000
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