Reasoning and answer: In 3 years, the sum of their present ages will be added by 3 (from Allen) + 3 (from her mother) = 6. So, the sum of their present ages is 41 - 6 = 35. Let x be the present age of Allen's mother and x - 25 be the present age of Allen. So the equation using the sum of their present ages is x + x - 25 = 35. By combining like terms, the equation becomes 2x = 60. Hence, Allen's mother is x = 60 / 2 = 30 years old now.
The answer: 30
What was the question?
Question: Allen is 25 years younger than his mother. In 3 years, the sum of their ages will be 41. What is the present age of Allen's mother?
The value went up to 100 * 3 = $300. So he gained 300 - 100 = $200.
The answer: 200
Reverse engineering the question: Mark buys a Magic card for $100, which then triples in value. How much profit would he make selling it?
Reasoning and answer: Adam bought 3 sandwiches, so he paid 3 * 3 = $9 for them. In total Adam bought products for 2 + 9 = $11.
The answer: 11
What was the question?
Question: Adam went to a shop to buy some food for his journey. He bought 3 sandwiches, for $3 each, and a bottle of water for $2. How much did Adam pay for all the shopping?
Autumn misplaced 7 and broke 3, so that lost her 7 + 3 = 10 pencils. Autumn found 4 pencils and bought 2, so she gained 4 + 2 = 6 pencils. She started with 20 pencils, lost 10 and gained 6 so she had 20 - 10 + 6 = 16 pencils left.
The answer: 16
Reverse engineering the question: Autumn was constantly misplacing her pencils. At the start of the school year, she purchased a pack of 20 pencils. In the first month of school, she misplaced 7 pencils, broke 3 pencils and had to throw them away, she found 4, and bought 2. How many pencils did Autumn have left?
Reasoning and answer: From the first set of meals, the restaurant earned 10 meals * $8 = $80. From the second set of meals, the restaurant earned 5 meals * $10 = $50. From the third set of meals, the restaurant earned 20 meals * $4 = $80. In total, the restaurant earned $80 + $50 + $80 = $210.
The answer: 210
What was the question?
Question: A restaurant is counting their sales for the day. They sold 10 meals at $8 each, 5 meals at $10 each, and 20 meals at $4 each. In dollars, how much money did the restaurant make throughout the day?
Reasoning and answer: They sold 400 * .8 = 320 tickets each day. So each day they made 320 * 30 = $9600. They did 2 + 1 = 3 days. So they made 9600 * 3 = $28,800.
The answer: 28800
What was the question?
Question:
A small theater company sells tickets to a show. They have a 400 seat theater and fill to 80% capacity. Each ticket cost $30. They repeated the same performance 2 other days. How much did they make?