Q: Darcie is 4 years old. She is 1/6 as old as her mother and her mother is 4/5 as old as her father. How old is her father?
A: Darcie's mother is 4 * 6 = 24 years old. Darcie's father is 24 / 4 * 5 = 30 years old. The answer is 30.
Question: There are 4 more Muscovy ducks than Cayugas, and 3 more than twice as many Cayugas as Khaki Campbells. If there are 90 ducks total, how many Muscovies are there?
Answer: Let x represent the number of Khaki Campbell ducks. Cayugas:3 + 2x. Muscovies:4 + (3 + 2x) = 7 + 2x. Total: x + 3 + 2x + 7 + 2x = 90. 5x + 10 = 90. 5x = 80. x = 16. Muscovy: 7 + 2(16) = 39. The answer is 39.
[Question]A new book sold 15 copies at the bookstore on Wednesday. On Thursday the book sold three times that many copies. On Friday the book sold one-fifth the number of copies it did on Thursday. How many copies of the book did the bookstore sell by Friday?
[Answer]On Thursday 15 * 3 = 45 books were sold. On Friday 45 / 5 = 9 books were sold. Adding up all three days 15 + 45 + 9 = 69 books were sold by Friday. The answer is 69.
Q: The area of a triangle with a given base and height is given by 1/2*base*height. What is the base length of a triangle with height 8 and area 24 square units?
A: Let b be the base of the triangle. (1 / 2) * b * 8 = 24. 4 * b = 24. b = 6. The answer is 6.
Question: Sammy has 2 more bottle caps than Janine. Janine has 3 times as many bottle caps as Billie. If Billie has 2 bottle caps, how many does Sammy have?
Answer: Janine has 2 * 3 = 6 bottle caps. Sammy has 6 + 2 = 8 bottle caps. The answer is 8.
Q: 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?
A:
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.