Reasoning and answer: Permutate the ingredients. 3 cheeses * 4 meats * 5 vegetables = 60 choice. However, we must take out the combinations that could have pepperoni and peppers, 1 cheese + 1 meat * + 1 vegetable = 3 bad choices. 60 - 3 = 57 choices.
The answer: 57
What was the question?
Question: Denmark wants to order pizza. For toppings, he has 3 cheese, 4 meat and 5 vegetable options, one of which is peppers. He can have only one selection from each topping category (one cheese, one meat and one vegetable). However, if he chooses to have pepperoni, he cannot have peppers. How many topping combinations does he have total?
20 + 3 = 23 people from the 4th grade class are going to the science museum. Therefore, they will pay a total of 23 x $5 = $115.
The answer: 115
Reverse engineering the question: A 4th grade class with 20 students and 3 teachers is going to a science museum. The entrance ticket costs $5 each. How much will they pay for the entrance tickets?
Reasoning and answer: Week 1 + Week 2 = 35 + 35 = 70 hours. Week 3 + Week 4 = 48 + 48 = 96 hours. Subtract Weeks 3 - 4 from Weeks 1 - 2 = 96 - 70 = 26.
The answer: 26
What was the question?
Question: Davida worked 35 hours on each of Weeks 1 and 2. She worked 48 hours each of Weeks 3 and 4. How many more hours did Davida work on Weeks 3 and 4 than on Weeks 1 and 2?
On Monday, 7 hours of rain at a rate of 1 inch per hour is 7 * 1 = 7 inches of rain. On Tuesday, 4 hours of rain at a rate of 2 inches per hour is 4 * 2 = 8 inches of rain. Twice the rate of Tuesday is 2 * 2 = 4 inches per hour. Wednesday, 2 hours of rain at a rate of 4 inches per hour is 2 * 4 = 8 inches of rain. The combined total of the rainfall for these three days is 7 + 8 + 8 = 23 inches of rain.
The answer: 23
Reverse engineering the question: It is the rainy season in central Texas. It rained for 7 hours on Monday at a rate of 1 inch per hour. On Tuesday, it rained for 4 hours at a rate of 2 inches per hour, and on Wednesday, it rained for 2 hours at a rate of twice that of the previous day. What is the total combined rainfall, in inches, for these three days?
Reasoning and answer: Annie ate 5 * 2 = 10 cookies on Tuesday. On Wednesday Annie ate 40 / 100 * 10 = 4 more cookies than on Tuesday. This means Annie ate on Wednesday 10 + 4 = 14 cookies. So in total during these three days Annie ate 5 + 10 + 14 = 29 cookies.
The answer: 29
What was the question?
Question: Annie likes to eat cookies. She ate 5 cookies on Monday, two times more on Tuesday, and 40% more on Wednesday than on Tuesday. How many cookies did Annie eat during these three days?
Reasoning and answer: When her allowance is $5 a week, Francie gets a total of $5 * 8 = $40. When her allowance is $6 a week, Francie gets a total of $6 * 6 = $36. The total amount of money Francie gets is $40 + $36 = $76. After purchasing new clothes, she has $76 / 2 = $38 remaining. After buying the video game, Francie has $38 - $35 = $3 remaining.
The answer: 3
What was the question?
Question:
Francie saves up her allowance for several weeks. She receives an allowance of $5 a week for 8 weeks. Then her dad raises her allowance, and she receives $6 a week for 6 weeks. Francie uses half of the money to buy new clothes. With the remaining money, she buys a video game that costs $35. How much money does Francie have remaining after buying the video game?