Reasoning and answer: He has 15 months to save $3,000.00 so that's 3000 / 15 = $200.00 a month. He gets paid twice a month so he needs to save 200 / 2 = $100.00 from each paycheck.
The answer: 100
What was the question?
Question: Jackson wants to start saving for the vacation that he's taking next August, 15 months away. He wants to save $3,000.00. If he gets paid 2 times a month how much money does he need to set aside, per paycheck, to have enough money saved for his vacation?
If each shelf has 400 books, then the four shelves have 4 * 400 = 1600 books. Since the total number of books on the shelves is the same as the distance that Karen bikes back home, biking to and from the library takes 1600 + 1600 = 3200 miles.
The answer: 3200
Reverse engineering the question: The total number of books on four shelves, with 400 books each, is the same as the distance in miles that Karen bikes back to her home from the library. Calculate the total distance that Karen covers if she bikes from her home to the library and back.
Reasoning and answer: First take out the cost of the concessions. That leaves $76 - $12 = $64 for the movie tickets. Each child ticket costs $7, so two children's tickets cost $7 per child ticket * 2 child tickets = $14. To find the amount spent on adult tickets, subtract the cost of the children's tickets to get $64 - $14 = $50 for adult tickets. Divide $50 for adult tickets / 5 adults = $10 per adult ticket.
The answer: 10
What was the question?
Question: Five adults and two children go to see a movie and buy $12 worth of concessions. The total cost of their trip is $76. If each child's ticket is $7, how much, in dollars, are the adult tickets?
Let X be the number of children in the group. The number of adults in the group is X + 25. The group pays 8 * X + 15 * (X + 25) = $720. Multiplying through the parentheses, we get 8X + 15X + 375 = $720. Combining like terms, we get 23X + 375 = 720. Subtracting 375 from both sides, we get 23X = 720 - 375 = $345. Dividing both sides by 23, we get X = $345 / 23 = 15 children.
The answer: 15
Reverse engineering the question: A group of people pays $720 for admission tickets to an amusement park. The price of an adult ticket is $15, and a child ticket is $8. There are 25 more adults than children. How many children are in the group?
Reasoning and answer: 50 x 2 / 5 = 20 posters are small. And 50 / 2 = 25 posters are medium. So 20 + 25 = 45 posters are not large. Therefore, 50 - 45 = 5 posters are large.
The answer: 5
What was the question?
Question: A small store made 50 posters to advertise their products. Two-fifths of them are small posters while half of them are medium posters. The rest are large posters. How many large posters are there?
Reasoning and answer: She loses 5 marbles because 25 x .2 = 5. She has 20 marbles after this because 25 - 5 = 20. Her friend gives her 40 marbles because 20 x 2 = 40. Adding those marbles to the 20 she had before, she ends up with 40 marbles + 20 marbles = 60 marbles.
The answer: 60
What was the question?
Question:
Baez has 25 marbles. She loses 20% of them one day. Then a friend sees her and gives her double the amount that Baez has after she lost them. How many marbles does Baez end up with?