Reasoning and answer: First, we need to determine the length of John's workday if he decides to earn the bonus. We do this by performing 8 + 2 = 10 hours for his workday. Next, we need to determine his overall pay. We do this by performing 80 + 20 = 100 dollars a day. We then determine John's hourly rate by dividing his pay by the number of hours worked, performing 100 / 10 = 10 dollars an hour.
The answer: 10
What was the question?
Question: John works a job that offers performance bonuses. He makes $80 a day and works for 8 hours. He has the option of working hard to earn the performance bonus of an extra $20 a day, but the extra effort results in a 2-hour longer workday. How much does John make per hour if he decides to earn the bonus?
There were 200 - 40 = 160 runners last year. Therefore, there will be 2 x 160 = 320 runners this year.
The answer: 320
Reverse engineering the question: Last year, Peter organized a Fun Run for his community project and 200 people signed up. Forty people did not show up to run. This year, there will be twice as many runners as last year. How many people will run this year?
Reasoning and answer: First find how many days Cassidy is grounded for the low grades: 4 grades * 3 days / grade = 12 days. Then add that time to the 14 days she's grounded for lying to find the total grounding length: 12 days + 14 days = 26 days.
The answer: 26
What was the question?
Question: Cassidy is grounded for 14 days for lying about her report card, plus 3 extra days for each grade below a B. If Cassidy got four grades below a B, how long is she grounded for?
Making the round trip to school means driving from the house to school and then back, for a total of 2.5 + 2.5 = 5 miles. He makes this trip twice in one day for a total of 2 * 5 = 10 miles. He does this 4 times in a week for a total of 4 * 10 = 40 miles. The round trip (once a week) to the market is 2 + 2 = 4 miles. His total mileage for a typical week = 40 + 4 = 44 miles.
The answer: 44
Reverse engineering the question: The trip from Philip's house to the children's school is 2.5 miles, and the trip to the market is 2 miles. He makes the round trip to school two times (when taking the children to school and when bringing them back) every day for 4 days a week. Then he makes a round trip to the market once during weekends. What is his car's mileage for a typical week?
Reasoning and answer: He paid for 10 - 2 = 8 lessons. That means he pays 8 * $10 = $80.
The answer: 80
What was the question?
Question: Tom decides to take 10 dance lessons that cost $10 each, but he gets two of them for free. How much does he pay?
Reasoning and answer: 5 pansies at $2.50 each is 5 * 2.50 = $12.50. 5 petunias at $1.00 each 5 * 1 = $5.00. All total he spends 12.50 + 12.50 + 5.00 = $30.00. The sale is 10% off so 30 * .10 = $3.00. The purchase total now comes to 30 - 3 = $27.00. He pays with a $50 bill so 50 - 27 = $23.00.
The answer: 23
What was the question?
Question:
Simon wanted to buy flowers that his mom could plant for Mother's Day. The garden center was offering 10% off all purchases. He bought 5 pansies at $2.50 each, one hydrangea that cost $12.50 and 5 petunias that cost $1.00 each. If he paid with a $50 bill, how much change would Simon receive back from his purchase?