Reasoning and answer: First find the total number of pine logs by multiplying the number of trees by the number of logs per tree: 80 logs / pine * 8 pines = 640 logs. Then do the same thing for the maple trees: 60 logs / maple * 3 maples = 180 logs. And do the same thing for the walnut trees: 100 logs / walnut * 4 walnuts = 400 logs. Finally, add up the number of logs from each type of tree to find the total number: 640 logs + 180 logs + 400 logs = 1220 logs.
The answer: 1220
What was the question?
Question: Jerry is cutting up wood for his wood-burning stove. Each pine tree makes 80 logs, each maple tree makes 60 logs, and each walnut tree makes 100 logs. If Jerry cuts up 8 pine trees, 3 maple trees, and 4 walnut trees, how many logs does he get?


He drives each vehicle 150 miles because 450 / 3 = 150. The first car will need 3 gallons of gas because 150 / 50 = 3. The second car will need 15 gallons of gas because 150 / 10 = 15. The third car will need 10 gallons of gas because 150 / 15 = 10. He will need 28 gallons in total because 3 + 15 + 10 = 28. This will cost him $56 because 28 x $2 = $56.
The answer: 56
Reverse engineering the question: Arnold owns three cars. The first car averages 50 miles per gallon of gas. The second car averages 10 miles per gallon of gas. And the third car averages 15 miles per gallon of gas. He splits his 450-mile monthly driving mileage equally amongst his three cars. If gas costs $2 per gallon, how much does he spend on gas each month?


Reasoning and answer: If Grace has 30 pastries, then both Phoebe and Calvin each have 30 - 5 = 25 pastries. The total number of pastries that Phoebe and Calvin have is 25 + 25 = 50. Together, Phoebe, Calvin, and Grace have 50 + 30 = 80 pastries. Since Calvin and Phoebe each have 8 more pastries than Frank, then Frank has 25 - 8 = 17 pastries. Altogether, the four have 17 + 80 = 97 pastries.
The answer: 97
What was the question?
Question: Calvin and Phoebe each have 8 more pastries than Frank but only five less than Grace. If Grace has 30 pastries, calculate the total number of pastries that the four have?


Each classroom will have 14 boys because 56 boys divided into 4 classrooms equals 14 boys per classroom. Each classroom will have 11 girls because 44 girls divided into 4 classrooms equals 11 girls per classroom. In total, each classroom will have 25 students because 14 boys plus 11 girls equals 25 total students.
The answer: 25
Reverse engineering the question: The school principal decided that she wanted every class to have an equal number of boys and girls in each first-grade classroom. There are 4 classrooms. There are 56 boys and 44 girls. How many total students are in each classroom?


Reasoning and answer: Mirasol spent a total of $30 + $10 = $40. Thus, Mirasol has $50 - $40 = $10 left in her account.
The answer: 10
What was the question?
Question: Mirasol had $50 in her account. She spent $10 on coffee beans and $30 on a tumbler. How much is left in her account?


Reasoning and answer: Worker ants:110 / 2 = 55 ants. Male worker ants:55(.20) = 11. Female worker ants:55 - 11 = 44 ants.
The answer: 44
What was the question?
Question:
Stephen has 110 ants in his ant farm. Half of the ants are worker ants, 20 percent of the worker ants are male. How many female worker ants are there?