In her old company, if she worked for three years, the total number of months she was paid for is 3 years * 12, which is the number of months in a year = 36 months. If each month she was paid $5000, her total earnings in the old company were $5000 * 36 = $180000. In her new company, she is paid 20% more, which is 20 / 100 * $5000 = $1000 per month more than what she was paid at the old company. In total, she earns $5000 + $1000 = $6000 per month in her new company. Since she's worked five months more in the new company than the old company, she has worked for 36 + 5 = 41 months in the new company. The total amount she's earned in the new company is $6000 * 41 = $246000. The combined total for both companies is $246000 + $180000 = $426000.
The answer: 426000
Reverse engineering the question: Cadence has worked for her new company five months longer than she worked for her old company. If she worked at her old company for 3 years earning $5000 per month, and she's now earning 20% more in the new company, calculate the total amount of money she's earned in both companies in the period she's worked for them?
Reasoning and answer: Let's set up an equation by calling the lifespan of a bat x, and therefore the lifespan of the hamster x 6, and the lifespan of the frog 4 (x 6) which add together to equal 30, like this: x + x 6 + 4 (x 6) = 30. That gives us 6x 30 = 30 and we should add 30 to each side to try to isolate the x. Now we have 6x = 60, which we will divide by 6, 6x / 6 = 60 / 6. This gives us x = 10. The bat has a lifespan of 10 years.
The answer: 10
What was the question?
Question: The lifespan of a hamster is 6 years less than that of a bat. The lifespan of a frog is 4 times that of a hamster. Altogether, the lifespan of the animals is 30 years. What is the lifespan of the bat?
If each of the 20 customers bought 15 marbles, then they bought 20 * 15 = 300 marbles in total from Mr Julien's store. The number of marbles remaining in the store is 400 - 300 = 100 marbles.
The answer: 100
Reverse engineering the question: Mr Julien's store has 400 marbles remaining after the previous day's sales. Twenty customers came into the store, and each bought 15 marbles. How many marbles remain in the store?
Reasoning and answer: The number of people who took only wine is the difference between the number of people who took wine and those who took wine and soda which is 26 - 17 = 9 people. In the same manner, the number of people who took only soda is 22 - 17 = 5 people. Therefore the total number present is the sum of those who took wine only, those who took soda only and those who took both which is 9 + 5 + 17 = 31 people.
The answer: 31
What was the question?
Question: At a gathering, it was reported that 26 people took wine, 22 people took soda, and 17 people took both drinks. If each person could have taken one or more drinks regardless of what was reported, how many people altogether were at the gathering?
She needs 10 * 8 = 80 apples to make the pies. So she has to buy 80 - 50 = 30 more apples.
The answer: 30
Reverse engineering the question: Mary wants to bake 10 apple pies for a charity event. Each pie needs 8 apples and she already harvested 50 apples from the trees in her garden. How many more apples does she need to buy to make all 10 pies?
Sam makes $460 / 23 hrs = $20 / hr. From September to February, Sam made 8hrs x $20 / hr = $160. From March to February, Sam made a total of $460 + $160 = $620. After fixing his car, he was left with $620 - $340 = $280. Sam needs another $600 - $280 = $320. Sam needs to work another $320 / $20 / hr = 16 hours.
The answer: 16
Reverse engineering the question:
From March to August, Sam made $460 doing 23 hours of yard work. However, from September to February, Sam was only able to work for 8 hours. If Sam is saving up to buy a video game console that costs $600 and has already spent $340 to fix his car, how many more hours does he need to work before he can buy the video game console?