Q: 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.
A: 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: A new movie gets released and makes $120 million in the box office for its opening weekend. It ends up making 3.5 times that much during its entire run. If the production company gets to keep 60%, how much profit did they make if the movie cost $60 million to produce?
Answer: Over the movies run it made 120 * 3.5 = 420 million. So the production company made 420,000,000 * .6 = $252,000,000. So they got a profit of 252,000,000 - 60,000,000 = $192,000,000. The answer is 192000000.
[Question]Marcus can fit 5 pies in his oven at once. He bakes 7 batches of pies, then slips and drops 8 of them. How many pies are left?
[Answer]First find the total number of pies Marcus bakes: 5 pies / batch * 7 batches = 35 pies. Then subtract the number of pies Marcus drops: 35 pies - 8 pies = 27 pies. The answer is 27.
Q: Barbara got a great deal on a new chest of drawers, but she has to take a lot of paper out of the drawers to be able to use it. She found 3 bundles of colored paper, 2 bunches of white paper, and 5 heaps of scrap paper. If a bunch holds 4 sheets of paper, a bundle holds 2 sheets of paper, and a heap holds 20 sheets of paper, how many sheets of paper did Barbara remove from the chest of drawers?
A: Of the colored paper, Barbara removed 3 * 2 = 6 sheets of paper. Of the white paper, she removed 2 * 4 = 8 sheets of paper. Of the scrap paper, she removed 5 * 20 = 100 sheets of paper. So in total, Barbara removed 6 + 8 + 100 = 114 sheets of paper. The answer is 114.
Question: I bought a pair of shoes for $51. The shoes were already marked 75% off. What is the original price of the shoes?
Answer: Let X be the original price of the shoes. The discounted price is X - X * 75% = 0.25 * X = $51. The original price of the shirt was X = $51 * 4 = $204. The answer is 204.
Q: The teacher told the class that if they averaged at least 75% on their final exam, they could have a pizza party. Everyone took the exam on Monday, except for William, who was allowed to take it on Tuesday. If there are 30 people in the class, and the average before he took the test was a 74%, what score does he have to get to make sure they get to have a pizza party?
A:
Let x be the score that William needs to achieve. Since there are 30 people in the class, there are 30 - 1 = 29 people without him. Since their average was a 74%, this means that (29 * 74 + x) / 30 > = 75. Thus, 29 * 74 + x > = 30 * 75. Thus, 29 * 74 + x > = 2250. Thus, 2146 + x > = 2250. Thus, x > = 2250 - 2146. Thus, x > = 94. The answer is 94.