The cost of each key chain in packs of 10 for $20 is $20 / 10 = $2. The cost of each key chain in packs of 4 for $12 is $12 / 4 = $3. There is a price difference of $3 - $2 = $1 per key chain between the two choices. By buying 20 key chains at a lower price, Matt can save 20x$1 = $20.
The answer: 20
Reverse engineering the question: Matt can buy key chains in packs of 10 for $20 or in packs of 4 for $12. How much money can he save if he chooses to buy 20 key chains at a lower price?
Reasoning and answer: First find how many months Jason worked as a bartender: 9 years * 12 months / year = 108 months. Then find how many months Jason worked as a manager: 3 years * 12 months / year + 6 months = 42 months. Then add those two amounts to find his total amount of work experience: 108 months + 42 months = 150 months.
The answer: 150
What was the question?
Question: Jason worked for 9 years as a bartender and 3 years and six months as a manager. How many months of work experience does he have total?
His raise was 45,000 * .2 = $9,000. So his new wage is 45,000 + 9,000 = $54,000. So they each have to pay him 54,000 / 9 = $6,000 per year.
The answer: 6000
Reverse engineering the question: A group of parents get together and decide to hire a private school teacher to quit his job and teach their children. His former job paid 45,000 per year and they offered him a 20% raise. If there are 9 kids how much does each parent have to pay?
Reasoning and answer: She plays 480 notes because 8 x 60 = 480. This is 12 blocks of 40 notes because 480 / 40 = 12. She makes 36 mistakes because 12 x 3 = 36.
The answer: 36
What was the question?
Question: Nadia is learning to play the piano. She normally makes 3 mistakes per 40 notes and can play about 60 notes a minute. If she plays for 8 minutes how many mistakes will she make on average?
The number of the increase in chicken after 9 years is 150 * 9 = 1350. So the total number of the chicken in Michael's farm will be 550 + 1350 = 1900.
The answer: 1900
Reverse engineering the question: Michael has a chicken farm. His chickens increase in number by 150 chickens annually. If the number of chickens on his farm now is 550, how many will he have after 9 years?
After the birds ate 19 of the tomatoes Haruto has 127 - 19 = 108 tomatoes left. After giving half of his tomatoes to his friend, Haruto had 108 / 2 = 54 tomatoes.
The answer: 54
Reverse engineering the question:
Haruto has tomato plants in his backyard. This year the plants grew 127 tomatoes. Birds had eaten 19 of the tomatoes. He picked the rest. If Haruto gave half of his tomatoes to his friend, how many tomatoes does he have left?