Reasoning and answer: If the ratio of red candles to blue candles Avianna bought was 5:3, then the total ratio was 5 + 3 = 8. If 5 represented 45 candles in the total ratio, then 8, the actual ratio, represents 8 * 45 = 360 divided by 5 is 360 / 5 = 72 candles. If the total number of candles was 72, then the number of blue candles is 72 candles - 45 candles = 27 candles.
The answer: 27
What was the question?
Question: On her birthday, Avianna bought red candles and blue candles in the ratio of 5:3. If Avianna had 45 red candles on her birthday, how many blue candles did she have?
Jill starts off spending 5 minutes on the phone, and the following day she spends double that 5 minutes for 5 * 2 = 10 minutes. The following day Jill spends double the previous day's total of 10 minutes on the phone, for 10 * 2 = 20 minutes. On the fourth day, Jill spends double the previous day's total of 20 minutes on the phone, for 20 * 2 = 40 minutes. On the fifth and final day, Jill spends double the previous day's total of 40 minutes on the phone, for 40 * 2 = 80 minutes. All told, Jill spends 5 + 10 + 20 + 40 + 80 = 155 minutes on the phone over 5 days.
The answer: 155
Reverse engineering the question: Jill spends time every day talking to her boyfriend on the phone. The first day of the week she spends 5 minutes on the phone with her boyfriend. Each of the following days she spends twice as much time talking on the phone as the day before. After the 5th day her parents take the phone away from her because she was on it too long. How much time did Jill spend talking to her boyfriend that week?
Reasoning and answer: Trish walks 1 mile on the first day, and since she walks double the previous day's amount each day that means she walks 1 * 2 = 2 miles the second day. On the following day, she walks double the distance of the previous day's total of 2 miles, meaning she walks 2 * 2 = 4 miles that day. On the following day, she walks double the distance of the previous day's total of 4 miles, meaning she walks 4 * 2 = 8 miles that day. On the following day, she walks double the distance of the previous day's total of 8 miles, meaning she walks 8 * 2 = 16 miles that day. As we're looking for the first day that her distance exceeds 10 times her original total, that means we're seeking a mile total of greater than or equal to 10 * 1 = 10 miles,. Since she accomplished this on the 5th day of walking, the answer is 5.
The answer: 5
What was the question?
Question: Trish likes to go for walks every day. One day, she goes on a 1-mile walk. Every subsequent day, she doubles the distance she walked the previous day. On what day does she walk more than 10 times further than she did on the first day?
The deck is 30 * 40 = 1200 square feet. He pays 3 + 1 = $4 per square foot. So he paid 1200 * 4 = $4800.
The answer: 4800
Reverse engineering the question: Mark constructed a deck that was 30 feet by 40 feet. It cost $3 per square foot. He then paid an extra $1 per square foot for sealant. How much did he pay?
Reasoning and answer: After taking in 100 more dogs, the number of dogs in the rescue center increased to 200 + 100 = 300. After a week, the number of dogs was reduced to 300 - 40 = 260 after the adoptions. So, there are 260 - 60 = 200 dogs left after 60 more dogs were adopted.
The answer: 200
What was the question?
Question: The total number of dogs at an animal rescue center is 200. Mr. Tanner, the manager at the rescue center, gets a call that 100 dogs at another rescue center are to be moved because of weather problems. He agrees to bring the dogs to his rescue center, and after one week, gives out 40 animals for adoption. After a month, 60 more dogs were adopted by dog lovers. What's the total number of remaining animals in the adoption center after the last adoptions?
Reasoning and answer: During 30 days Adam picked 4 * 30 = 120 apples. So in total with all the remaining apples, he picked 120 + 230 = 350 apples from his orchard.
The answer: 350
What was the question?
Question:
Adam has an orchard. Every day for 30 days he picks 4 apples from his orchard. After a month, Adam has collected all the remaining apples, which were 230. How many apples in total has Adam collected from his orchard?