She has used 32 ounces on 8 - ounce glasses because 4 x 8 = 32. She has used 30 ounces on the 5 - ounce glasses because 6 x 5 = 30. She has used 62 ounces in total because 32 + 30 = 62. She has 60 ounces left because 122 - 62 = 60. She can fill fifteen four - ounce glasses because 60 / 4 = 15.
The answer: 15
Reverse engineering the question: Claudia has 122 ounces of water and is filling up cups. She has 8-ounce glasses, 5-ounce glasses, and 4-ounce glasses. If she fills six 5 ounce glasses and four 8 ounce glasses, how many 4 ounce glasses can she fill with the remaining water?
Reasoning and answer: First, Amanda needs to figure out how many walls there are in the house, 5 rooms x 4 walls each = 20 walls. The other 4 rooms have x 5 walls each = 20 walls. The house has 20 walls + 20 walls = 40 walls total. To divide the work equally between the 5 people, 40 walls / 5 people = 8 walls for each person.
The answer: 8
What was the question?
Question: Amanda and her family are going to re-paint all the walls inside their house. Before they get started they want to divide up the work. Since all the rooms in the house have different numbers and sizes of walls in them, they figure the fairest way to divide up the work is to count all the walls in the house and assign an equal number to each person. There are 5 people in Amanda's family, including herself. There are 9 rooms in the house. 5 of the rooms have 4 walls each. The other 4 rooms each have 5 walls each. To be fair, how many walls should each person in Amanda's family paint?
500 grams is 0.5 kilogram, so for the meat, Martha needs to pay 0.5 * 8 = $4. For the cheese, Martha needs to pay 1.5 * 6 = $9. So in total for the ingredients, Martha needs to pay 4 + 9 = $13.
The answer: 13
Reverse engineering the question: To make a lasagna Martha needs 1.5kg of cheese and 500 grams of meat. The cheese costs $6 per kilogram, and the meat $8 per kilogram. How much does Martha need to pay for the ingredients?
Reasoning and answer: Since Perry caught double what Jordan caught, Perry caught 2 * 4 = 8 fish. Altogether, they caught 8 + 4 = 12 fish. On the way back to the shore, they lost 12 * 1 / 4 = 3 fish. They have 12 - 3 = 9 fish remaining.
The answer: 9
What was the question?
Question: Jordan and Perry took a boat out to the lake to go fishing on a Monday morning. Jordan caught 4 fish and Perry caught double what Jordan caught. On the way back to shore, the boat tipped over and they lost one-fourth of their total catch. How many fish remain?
The number of students who scored 100% is 2 / 5 * 80 = 32. Out of the 80 students, 80 - 32 = 48 did not score 100%. If 50% of the students who did not score 100% managed to score over 80%, then 50 / 100 * 48 = 24 students scored over 80%. The number of students who failed is 48 - 24 = 24.
The answer: 24
Reverse engineering the question: Out of the 80 students who took the biology exam, only 2/5 of them managed to score 100%. If a score below 80% qualified as failing, and 50 percent of the remaining students who didn't score 100% managed to score over 80%, calculate the number of students who failed the exam.
Mario's $18 cut on Monday would have been 50% more expensive on Sunday or $18 * 50% = $9 more expensive. That means he would have paid $9 more on Sunday than what he paid ($18) on Monday or $9 + $18 = $27.
The answer: 27
Reverse engineering the question:
At Mario's barbershop haircuts are 50% more expensive during the weekends. If Mario paid $18 for his last haircut on Monday, how much he would have paid the day before?