Reasoning and answer: At $3 a dozen, Krista sold $120 / $3 = 40 dozen eggs. If 10 hens laid 40 dozen eggs in 4 weeks, that means 40 dozen eggs / 10 hens = 4 dozen eggs were laid by each hen in four weeks. To find out how many eggs each hen laid in a week, 4 dozen eggs / 4 weeks = 1 dozen eggs each week. Since a dozen has 12 eggs, each hen lays 12 * 1 = 12 eggs each week.
The answer: 12
What was the question?
Question: Krista started raising chickens. She has 10 hens who lay eggs. She sells the eggs for $3 a dozen. In four weeks, she sold $120 worth of eggs. If she sold all the eggs her hens laid, how many eggs does each hen lay a week?
Machine A can put caps on 12 x 10 = 120 bottles in 10 minutes. Machine B can put caps on 12 - 2 = 10 bottles in 1 minute. So in 10 minutes, machine B can put caps on 10 x 10 = 100 bottles. Machine c can put caps on 10 + 5 = 15 bottles in 1 minute. So in 10 minutes, machine C can put caps on 15 x 10 = 150 bottles. Therefore, the three machines can put caps on 120 + 100 + 150 = 370 bottles in 10 minutes.
The answer: 370
Reverse engineering the question: There are three machines in a factory. Machine A can put caps on 12 bottles in 1 minute. Machine B can put caps to 2 fewer bottles than Machine A. Machine C can put caps to 5 more bottles than Machine B. How many bottles can those three machines put caps on in 10 minutes?
Reasoning and answer: To move in, Janet had to pay 2 months worth of rent so that would cost 2 * 1250 = $2,500. On top of the rent she needed to pay a deposit of $500 so 2500 + 500 = $3,000 total to rent the apartment. If it cost $3000 to move in and she had $2225 then she need 3000 - 2225 = $775 more.
The answer: 775
What was the question?
Question: Janet wanted to move out of her parents' house and rent her own apartment. She had $2,225 saved. She found an apartment that cost $1,250 per month that was perfect for her. The landlord said that she needed to be able to pay 2 months' rent in advance to rent the place and she would also need to put down a deposit of $500. How much more money did Janet need in order to rent the apartment?
He read 600 / 40 = 15 hours per week. So now he reads 15 - 4 = 11 hours per week. She now reads 40 * 1.5 = 60 pages per hour. So she reads 11 * 60 = 660 pages per week.
The answer: 660
Reverse engineering the question: Jim reads at a rate of 40 pages an hour. He reads a total of 600 pages per week. He increases his reading speed to 150% of its former speed but reads 4 hours less per week. How many pages does he read a week now?
Reasoning and answer: In one building, there are 4 - 1 = 3 floors that have 5 apartment units each. Mr. Resty has a total of 3 floors x 5 units = 15 apartment units from the 2nd to 4th floor in one building. So, in one building, there are a total of 15 + 2 = 17 apartment units. Therefore, Mr. Resty has a total of 17 x 2 = 34 apartment units in his 2 buildings.
The answer: 34
What was the question?
Question: Mr. Resty has two identical 4-story buildings. The first floor has 2 apartment units while the rest of the floors have 5 apartment units on each floor. How many apartment units does Mr. Resty have in all?
Reasoning and answer: At the end of the day, he had tested 120 boards, each with three tacks, for a total of 3 * 120 = 360 tacks. He had 30 tacks remaining in each of the three cans, for an additional 3 * 30 = 90 thumbs tacks. Therefore, the original total combined number of thumbtacks in the three full cans of thumbtacks was 360 + 90 = 450 thumbtacks.
The answer: 450
What was the question?
Question:
Lorenzo put three full cans of thumbtacks into his pocket and went off to work at the corkboard factory. It was Lorenzo's job, as head of quality control, to test every cork board for its ability to hold thumbtacks. He placed one thumbtack from each of the three cans of thumbtacks into every board tested. At the end of the day, he had tested 120 boards and had 30 tacks remaining in each of the three cans. What was the total combined number of thumbtacks from the three full cans?