Reasoning and answer: Five pounds of beef cost $3 x 5 = $15. So Lyra spent a total of $12 + $15 = $27. Therefore, $80 - $27 = $53 is left on her weekly budget.
The answer: 53
What was the question?
Question: Lyra has an $80 budget for a week to spend on food. If she bought 1 bucket of fried chicken that costs $12 and 5 pounds of beef that cost $3 per pound. How much is left on her weekly budget?
The teacher has 45 + 15 = 60 people come in total. For every 5 people, a lollipop is given away so there are 60 / 5 = 12 groups of 5 people and 12 lollipops given away.
The answer: 12
Reverse engineering the question: For every 5 people that attend a poetry class, the teacher gives one of the students a lollipop. If 45 people show up for class, then another 15 come in a while later, how many lollipops did the teacher give away?
Reasoning and answer: Connie spent 10 tickets on earbuds + 15 tickets on glow bracelets = 25 tickets. Since Connie spends half of her tickets on a stuffed koala bear, that means the 25 tickets she spent on earbuds and glow bracelets is the other half, so she spent 25 tickets on the stuffed koala bear. In all, Connie spent 25 tickets on earbuds and glow bracelets + 25 tickets on a stuffed koala bear = 50 tickets.
The answer: 50
What was the question?
Question: Connie redeemed all her arcade tickets today. She spent half of them on a stuffed koala bear. She spent 10 tickets on a pair of earbuds. She spent another 15 tickets on glow bracelets. How many tickets did Connie redeem today?
Since a dozen has 12 items, a half dozen has 1 / 2 * 12 = 6 items. Since Jamal bought four half dozen colored crayons, he bought 4 * 6 = 24 colored crayons. If each crayon's cost was $2, Jamal paid $2 * 24 = $48 for all the crayons he bought.
The answer: 48
Reverse engineering the question: Jamal bought 4 half dozen colored crayons at $2 per crayon. What was the total cost of the crayons that she bought?
Reasoning and answer: Since Paul makes 3 trips per day, and each trip involves going both down and up, this means he travels the full vertical distance of his apartment complex 3 * 2 = 6 times a day. Since there are 7 days in a week, this means he makes this trip 6 * 7 = 42 times a week. Since each story is 10 feet tall, that means with 5 stories he travels 5 * 10 = 50 feet each trip. Since he made 42 trips of 50 feet each, this means he traveled 50 * 42 = 2100 feet in a week.
The answer: 2100
What was the question?
Question: Paul lives in a 5th story apartment. He makes 3 trips out from and back to his apartment throughout the day each day of a week. How many feet does he travel vertically in total over the week if each story is 10 feet tall?
Reasoning and answer: The first spacecraft flew for 30 minutes, or 30 / 60 = 1 / 2 hour. The second spacecraft flew for 30 + 30 = 60 minutes, or 1 hour. Thus the first spacecraft traveled at a speed of 448 miles in 1 / 2 hour, or 448 / (1 / 2) = 896 miles per hour. The second spacecraft traveled 448 miles in 1 hour, or 448 / 1 = 448 miles per hour. The difference in speed, in miles per hour, between the two spacecraft was 896 - 448 = 448 miles per hour.
The answer: 448
What was the question?
Question:
Two alien spacecraft on a sightseeing tour of Earth left New Orleans airport at 3:00 pm to travel the 448-mile distance to Dallas by air. Traveling nonstop, the first spacecraft landed in Dallas at 3:30 pm, while the second spacecraft landed in Dallas thirty minutes later. Assuming both spacecraft traveled at constant speed, what was the difference in speed, in miles per hour, between the two spacecraft?