Question: The age of a lioness in a park is twice the age of a hyena in the same park. The lioness is 12 years old. If the babies of the two animals are half the age of their mothers, calculate the sum of the age of the babies in five years.
Answer: If the lioness is 12 years old, the hyena, half her age, is 12 / 2 = 6 years old. The baby of the lioness is 12 / 2 = 6 years old, half the mother's age. Five years from now, the age of the lioness's cub will be 6 + 5 = 11. The baby of the hyena is 6 / 2 = 3 years old, which is half the mother's age. The hyena's baby will be 3 + 5 = 8 years old in five years. Together, the total age of the babies will be 8 + 11 = 19 years in five years. The answer is 19.
[Question]Tilly needs to sell 100 bags at $10 per bag to make $300 in profit. How much did she buy each bag for?
[Answer]Tilly will make 100 x $10 = $1000 in total. She has spent $1000 - $300 = $700 on 100 bags. Each bag cost Tilly $700 / 100 = $7. The answer is 7.
Q: When Harriett vacuumed the sofa and chair she found 10 quarters, 3 dimes, 3 nickels, and 5 pennies. How much money did Harriett find?
A: She found 10 quarters that are $0.25 each so she found 10 * .25 = $2.50. She found 3 dimes that are $0.10 each so she found 3 * .10 = $0.30. She found 3 nickels that are $0.05 each so she found 3 * .05 = $0.15. She found 5 pennies that are $0.01 each so she found 5 * .01 = $0.05. All total she found 2.50 + .30 + .15 + .05 = $3.00 in change. The answer is 3.
Question: Jeff is collecting matchbox cars. He has twice as many cars as trucks. He has 60 total vehicles. How many trucks does he have?
Answer: The number of trucks + 2(number of trucks) = 60. Therefore 3(number of trucks) = 60. Number of trucks = 20 because 60 / 3 = 20. The answer is 20.
[Question]Nancy, the librarian, is shelving books from the cart. She shelved 12 history books, 8 romance books, and 4 poetry books from the top section of the cart. Half the books on the bottom section of the cart were mystery books, which she quickly put back into place. Then, she shelved the remaining books from the bottom of the cart, including 5 Western novels and 6 biographies. How many books did she have on the book cart when she started?
[Answer]Half of the books on the bottom section of the cart are mystery books, which means they are the same as the number of Western novels and biographies put together. So there are 5 + 6 = 11 mystery novels. Add them all together, and there are 12 history + 8 romance + 4 poetry + 11 mystery + 5 Western + 6 biographies = 46 books total. The answer is 46.
[Question]Stephen rides his bicycle to church. During the first third of his trip, he travels at a speed of 16 miles per hour. During the second third of his trip, riding uphill, he travels a speed of 12 miles per hour. During the last third of his trip, he rides downhill at a speed of 20 miles per hour. If each third of his trip takes 15 minutes, what is the distance Stephen rides his bicycle to church, in miles?
[Answer]
15 minutes is 15 / 60 = 0.25 hours. Traveling 15 minutes at 16 miles per hour, Stephen travels 16 * 0.25 = 4 miles. Traveling 15 minutes at 12 miles per hour, Stephen travels 12 * 0.25 = 3 miles. Traveling 15 minutes at 20 miles per hour, Stephen travels 20 * 0.25 = 5 miles. All together, Stephen travels 4 + 3 + 5 = 12 miles. The answer is 12.