Reasoning and answer: First find the number of pups in the first generation: 8 mice * 6 pups / mouse = 48 pups. Then add the number of adult mice to find the total number of mice: 48 pups + 8 mice = 56 mice. Then find the number of pups per mouse that survive from the second generation: 6 pups / mouse - 2 pups / mouse = 4 pups / mouse. Then multiply that number by the number of adult mice to find the number of pups in the second generation: 56 mice * 4 pups / mouse = 224 mice. Then add the number of adult mice to the number of second - generation pups to find the total number of mice: 224 mice + 56 mice = 280 mice.
The answer: 280
What was the question?
Question: Billy is breeding mice for an experiment. He starts with 8 mice, who each have 6 pups. When the pups grow up, all the mice have another 6 pups. Then each adult mouse eats 2 of their pups due to the stress of overcrowding. How many mice are left?
Theon's estimated time of arrival is 90 / 15 = 6 hours. Yara's estimated time of arrival is 90 / 30 = 3 hours. Therefore, Yara is ahead by 6 - 3 = 3 hours.
The answer: 3
Reverse engineering the question: Theon's ship can move 15 nautical miles per hour while Yara's ship can move 30 nautical miles per hour. If their destination is 90 nautical miles away, how many hours ahead will Yara be ahead of Theon?
Reasoning and answer: Valerie has to send a thank you card to each of 3 people, so she has 3 * 1 = 3 thank you cards to mail. She has 2 bills to mail. She has 3 more rebates than bills, so 3 + 2 = 5 mail - in rebates to mail. She has twice as many job applications as rebates, so she has 2 * 5 = 10 applications to mail. She has 3 + 2 + 5 + 10 = 20 pieces of mail to send. The electric bill needs an extra stamp, so she needs 20 + 1 = 21 stamps.
The answer: 21
What was the question?
Question: Valerie needs to put stamps on the envelopes she is about to mail. She has thank you cards for each of her grandmother, uncle and aunt for the birthday presents they sent. She also has to pay the water bill and the electric bill separately. She wants to send three more mail-in rebates than she does bills and she has twice as many job applications as rebates to mail. How many stamps does she need if everything needs 1 stamp except the electric bill, which needs 2?
First, we determine that Isabella will be 10 * 12 = 120 months old at age 10, to find a number to compare her age to Antonio's with. Then we subtract the 18 months from the total of 120 months to find 120 - 18 = 102 months, which is the age Isabella is currently. Since at 102 months old Isabella is twice as old as Antonio, we take 102 / 2 = 51 months as Antonio's age.
The answer: 51
Reverse engineering the question: Isabella is twice as old as Antonio. In 18 months, she will be 10 years old. How many months old is Antonio?
Reasoning and answer: The house is 2,300 sq ft and we know the non - bedroom sections take up 1,000 sq ft, so that leaves 2300 - 1000 = 1,300 sq ft for the bedrooms / bathrooms. Let x be the size of the master bedroom suite. Then the guest bedroom is 0.25x. So together the bedrooms are x + 0.25x = 1.25x in size. This means 1.25x = 1300. So x = 1300 / 1.25 = 1040 sq ft.
The answer: 1040
What was the question?
Question: A house's living room, dining room and kitchen take up 1,000 sq ft. The house also has a guest bedroom and a master bedroom suite. If the guest bedroom is a quarter of the size of the master bedroom suite, and the house is 2,300 sq ft total, how large is the master bedroom suite?
Reasoning and answer: At least one person lives in 85 / 100 * 120 = 102 apartments. At least two persons live in 60 / 100 * 120 = 72 apartments. So in every of the 102 - 72 = 30 apartments, only one person is living.
The answer: 30
What was the question?
Question:
In a block of flats, there are 120 apartments. 85% of them have at least 1 resident, while 60% of the apartments have at least two residents. How many apartments have only one resident?