First figure out how many hours total Jake works by adding the time spent mowing the lawn to the time spent planting flowers: 1 hour + 2 hours = 3 hours. Then figure out how much money Jake makes if he earns $20 / hour for three hours by multiplying the time spent by the pay rate: $20 / hour * 3 hours = $60. Then subtract the money Jake gets paid for mowing the lawn from the total to find how much he should charge in total for planting the flowers: $60 - $15 = $45.
The answer: 45
Reverse engineering the question: Jake's neighbors hire him to mow their lawn and plant some flowers. Mowing the lawn takes 1 hour and pays $15. If Jake wants to make $20/hour working for the neighbors, and planting the flowers takes 2 hours, how much should Jake charge (in total, not per hour) for planting the flowers?
Reasoning and answer: Algebra:140(.40) = 56 problems. Linear:56 / 2 = 28 problems.
The answer: 28
What was the question?
Question: Sadie has 140 math homework problems for the week. 40 percent are Algebra problems, and half of the Algebra problems are solving linear equations. How many solving linear equations problems does Sadie have to solve?
At the first pick - up point, the number of people who entered the bus was 3 / 5 of its carrying capacity, a total of 3 / 5 * 80 = 48. The available seats in the bus after the first pick up point is 80 - 48 = 32. If there were 50 people in the second pick - up station, and only 32 sits were available, the number of people who did not take the bus because it was full is 50 - 32 = 18.
The answer: 18
Reverse engineering the question: A bus has a carrying capacity of 80 people. At the first pickup point, the number of people who entered the bus was 3/5 of its carrying capacity. If there were 50 people at the next pick-up point, how many people could not take the bus because it was full?
Reasoning and answer: First find the number of pills Janet takes every day for the first 2 weeks: 2 pills / day + 3 pills / day = 5 pills / day. Then find the number of days in 2 weeks: 2 weeks * 7 days / week = 14 days. Then multiply that number by the number of pills she takes daily to find the total number of pills she takes in the first 2 weeks: 5 pills / day * 14 days = 70 pills. Then find the number of pills Janet takes every day for the last 2 weeks: 2 pills / day + 1 pill / day = 3 pills / day. Then multiply that number by the number of days in 2 weeks to find the total number of pills she takes in the last 2 weeks: 3 pills / day * 14 days = 42 pills. Then add the number of pills she took in the first and last two weeks to find the total number of pills she took: 42 pills + 70 pills = 112 pills.
The answer: 112
What was the question?
Question: Janet takes two multivitamins and 3 calcium supplements every day for the first 2 weeks of the month. For the last two weeks of the month, she runs low on calcium supplements and only takes one per day. How many pills does Janet take in that month?
If there are 25 students in the class, then 2 / 5 * 25 = 10 students like maths. The number of students who don't like math is 25 - 10 = 15 students. If 1 / 3 of the students that don't like math like science, then 1 / 3 * 15 = 5 students like science. The remaining number of students who enjoy history is 15 - 5 = 10. The combined total for the students who want history and maths is 10 + 10 = 20.
The answer: 20
Reverse engineering the question: In Mr. Bolton's class of 25 students, 2/5 of the students like maths, 1/3 of the remaining students like science, and the rest of the students like history. Calculate the combined total number of students who like history and those who like maths.
First find the total number of days in 6 weeks: 6 weeks * 7 days / week = 42 days. Then find the total difference in the number of pages Janet and Belinda read each day: 80 pages / day - 30 pages / day = 50 pages / day. Then multiply the daily difference by the number of days to find the total difference in the number of pages they read: 50 pages / day * 42 days = 2100 pages.
The answer: 2100
Reverse engineering the question:
If Janet reads 80 pages a day and Belinda reads 30 pages a day, how many more pages does Janet read in 6 weeks?