[Question]Mrs. Thompson bought 3 chickens for $3 each. She also bought a bag of potatoes. Mrs. Thompson paid $15 in total. How much did the potatoes cost?
[Answer]The 3 chickens amount to $3 x 3 = $9. Hence, the potatoes cost $15 - $9 = $6. The answer is 6.
Q: Karen works at an animal shelter with 30 dogs, 28 cats, and 20 lizards. Every month, 50% of the dogs are adopted, 25% of the cats are adopted, and 20% of lizards are adopted. If the shelter takes in 13 new pets a month, how many pets are there after one month?
A: First find how many dogs get adopted each month by multiplying the number of dogs by their chance of getting adopted: 30 dogs * 50% = 15 dogs. Then do the same thing for the cats: 28 cats * 25% = 7 cats. And do the same thing for the lizards: 20 lizards * 20% = 4 lizards. Now add up the number of each kind of pet to find the initial total number of pets: 30 dogs + 28 cats + 20 lizards = 78 pets. Now subtract all the pets that get adopted in one month from the initial number of pets: 78 pets - 15 dogs - 7 cats - 4 lizards = 52 pets. Now add the extra 13 pets the shelter takes in that month to find the final number of pets: 52 pets + 13 pets = 65 pets. The answer is 65.
Question: A dragon hoards jewels and gold in its cave. A jealous king snuck in and stole three prize jewels. The dragon burned him to a crisp and stole back its jewels, along with twice as many of the king’s crown jewels from his crown that melted in the dragon’s fire. The new jewels were a third of the number of jewels the dragon had owned before. How many jewels did the dragon own in the end?
Answer: The dragon stole 2 * 3 = 6 of the king’s crown jewels. The dragon owned 6 * 3 = 18 jewels before the theft. Thus, the dragon owned 18 + 6 = 24 jewels in the end. The answer is 24.
[Question]Mark is buying asphalt to pave a new section of road. The road will be 2000 feet long and 20 feet wide. Each truckload of asphalt will cover 800 square feet of road. If each truckload costs $75, and there's a 20% sales tax, how much will Mark need to pay for asphalt?
[Answer]First, calculate how many square feet of road Mark needs to cover by multiplying the length by the width: 2000 feet * 20 feet = 40,000 sq ft. Then divide the square footage of road by the number of square feet each truckload will cover: 40,000 sq ft / 800 sq ft / truckload = 50 truckloads. Now multiply the number of truckloads by the cost per truckload: $75 / truckload * 50 truckloads = $3750. Now calculate the sales tax by multiplying $3750 by 20%: $3750 * .2 = $750. Now add the sales tax to the cost of the asphalt to find the total: $750 + $3750 = $4500. The answer is 4500.
Q: A group of researchers are studying a colony of penguins. Their results show that the size doubled in the first year they watched the colony, then tripled in the next year. This year, however, harsh conditions meant the colony only gained 129 penguins. The colony has 1077 penguins in it now. Each penguin eats one and a half fish every day. How many fish did the whole colony catch per day to eat at the beginning of the first year?
A: The colony had 1077 - 129 = 948 penguins in it at the beginning of this year. At the beginning of the second year, the colony had 948 / 3 = 316 penguins in it. At the beginning of the first year, it had 316 / 2 = 158 penguins in it. Thus, at the beginning of the first year, the penguin colony was catching 158 * 1 1 / 2 = 237 fish per day. The answer is 237.
Question: There are 80 men in a race. 1/4 of the men tripped and were unable to finish. 2/3 of the remaining men were dehydrated and 1/5 of those dehydrated men couldn't finish the race. How many men finished the race?
Answer:
1 / 4 of 80 men is 80 / 4 = 20 men. 20 men couldn't finish, so 80 - 20 = 60 men remain. 60 * 2 / 3 = 40 men were dehydrated. 1 / 5 of the dehydrated couldn't finish 40 * 1 / 5 = 8 men. 60 - 8 = 52 men finished the race. The answer is 52.