Question: Ishmael was monitoring whales out at sea for conservation purposes. Each time he takes a trip to sea, he sees a different group of whales. On his first trip, he counts 28 male whales and twice as many female whales. On his second trip, he sees 8 baby whales, each travelling with their parents. On his third trip, he counts half as many male whales as the first trip and the same number of female whales as on the first trip. In total, how many whales were out at sea during Ishmael’s monitoring?
Answer: On the first trip, Ishmael sees 28 male whales * 2 = 56 female whales. So in total, he sees 28 male whales + 56 female whales = 84 whales on the first trip. On the second trip, each baby whale travels with its parents which means it travels in a group of 1 baby whale + 2 parents = 3 whales / baby whale. This means there are 8 baby whales * 3 whales / baby whale = 24 whales on the second trip. On the third trip, there are half as many male whales as there were on the first trip, so there must be 28 male whales / 2 = 14 male whales. Adding this to the female whales means he saws 14 males whales + 56 female whales = 70 whales on the third trip. In total, Ishmael saw 84 + 24 + 70 = 178 whales across the three trips. The answer is 178.
[Question]Three builders build a single floor of a house in 30 days. If each builder is paid $100 for a single day’s work, how much would it cost to hire 6 builders to build 5 houses with 6 floors each?
[Answer]6 builders can build a single floor 6 builders / 3 builders = 2 times as fast as 3 builders. Thus 6 builders would build a single floor in 30 days / 2 = 15 days. There are 5 hours x 6 floors / house = 30 floors in total in 5 houses with 6 floors each. Therefore 6 builders would complete the project in 15 days / floor x 30 floors = 450 days. It would cost 450 days x $100 / day / builder * 6 builders = $270000 to complete the project. The answer is 270000.
Q: There are five times as many swordfish as pufferfish in an aquarium exhibit. If there are 90 fish total, how many pufferfish are there?
A: Let s be the number of swordfish and p be the number of pufferfish. We know that s = 5p and s + p = 90. Substituting the first equation into the second equation, we get 5p + p = 90. Combining like terms, we get 6p = 90. Dividing both sides by 6, we get p = 15. The answer is 15.
Question: Daniel buys a magazine costing $0.85 and a pencil costing $0.50. He pays with a coupon that gives him $0.35 off. How much does he spend?
Answer: Daniel buys both magazine and pencil for $0.85 + $0.50 = $1.35. The coupon gives him a total cost of $1.35 - $0.35 = $1. The answer is 1.
[Question]In the final game of the basketball season, four players scored points. Chandra scored twice as many points as did Akiko. Akiko scored 4 more points than did Michiko, and Michiko scored half as many points as did Bailey. If Bailey scored 14 points, how many points in total did the team score in the final game of the season?
[Answer]If Bailey scored 14 points, and Michiko scored half as many points as Bailey, then Michiko scored 14 / 2 = 7 points. If Akiko scored 4 more points than did Michiko, then Akiko scored 7 + 4 = 11 points. Since Chandra scored twice as many points as did Akiko, then Chandra scored 11 * 2 = 22 points. Thus, in total, the team scored 14 + 7 + 11 + 22 = 54 points in total during the final game of the season. The answer is 54.
[Question]Unique is making biscuits. She has a sheet of dough that is 12 inches by 12 inches. She makes square biscuits and each biscuit is 3 inches by 3 inches. How many biscuits can she make with this dough?
[Answer]
She has 144 square inches of dough because 12 times 12 equals 144. Each biscuit uses 9 square inches of dough because 3 times 3 equals 9. She can make 16 biscuits because 144 divided by 9 equals 16. The answer is 16.