Phill starts with 1 pizza, cutting it in half. This means he now has 1 * 2 = 2 slices of pizza. He cuts each of these 2 slices in half, meaning he now has 2 * 2 = 4 slices of pizza. He then cuts these in half again, meaning he now has 4 * 2 = 8 slices of pizza. Phill hands out 2 slices to 2 of his friends, meaning he gave out 2 * 2 = 4 slices. He hands out 1 slice to 3 others, so the total amount of slices handed out are 3 + 4 = 7 slices. Since Phill started with 8 slices, this means he has 8 - 7 = 1 slice remaining.
The answer: 1
Reverse engineering the question: Phill had some friends over for pizza. He opens the pizza box and discovers it hasn't been sliced. Phill cuts the pizza in half, and then cuts both halves in half, and then cuts each slice in half again. Phill then passes out 1 slice to 3 of his friends and 2 slices to 2 of his friends. How many slices of pizza are left for Phill?


Reasoning and answer: His plantation is 500 * 500 = 250,000 square feet. That means he gets 250,000 * 50 = 12,500,000 grams of peanuts. So he makes 12,500,000 * 5 / 20 = 3,125,000 grams of peanut butter. So he has 3,125,000 / 1000 = 3125 kg of peanut butter. That means it sells for 3125 * 10 = $31,250.
The answer: 31250
What was the question?
Question: Matt has a peanut plantation that is 500 feet by 500 feet. 1 square foot of peanuts can make 50 grams of peanuts. If it takes 20 grams of peanuts to make 5 grams of peanut butter and 1 kg of peanut butter sells for $10 how much does he make from his plantation?


Ms. Hatcher taught 20 x 2 = 40 fourth graders for the day. She taught 20 / 2 = 10 fifth - graders as a substitute teacher for the day. Therefore, she taught 20 + 40 + 10 = 70 students for the day.
The answer: 70
Reverse engineering the question: Ms. Hatcher teaches 20 third-graders and a number of fourth-graders that is twice the number of third-graders. Her co-teacher asked her to substitute for her fifth-grade class that has half as many students as the number of third-graders. How many students did Ms. Hatcher teach for the day?


Reasoning and answer: His grandma gave 30 * 3 = $90. So he got a total of 30 + 90 = $120.
The answer: 120
What was the question?
Question: John gets $30 from his grandpa and 3 times that much from his grandma. How much did he get from the two grandparents?


Lee and his friend had a total of $10 + $8 = $18. The cost of the food was $6 + $4 + $1 + $1 = $12. The total cost, including tax was $12 + $3 = $15. They should have received $18 - $15 = $3 in total.
The answer: 3
Reverse engineering the question: Lee had $10 and his friend had $8. They went to a restaurant where they ordered chicken wings for $6 and a chicken salad for $4. They also got 2 sodas for $1.00 each. The tax came to $3. How much change should they have received in total?


Lavinia’s daughter is 12 - 10 = 2 years old. Lavinia’s son is 12 * 2 = 24 years old. Lavinia’s son is 24 - 2 = 22 years older than Lavinia’s daughter.
The answer: 22
Reverse engineering the question:
Lavinia’s daughter is 10 years younger than Katie’s daughter. Lavinia’s son is 2 times the age of Katie’s daughter. If Katie’s daughter is 12 years old, how many years older is Lavinia’s son than Lavinia’s daughter?