Reasoning and answer: As some of the letters are in small envelopes, there must be 80 total letters – 20 letters in small envelopes = 60 letters in large envelopes. Angel therefore used 60 letters / 2 letters per large envelope = 30 large envelopes.
The answer: 30
What was the question?
Question: Angel has written letters to all of her pen pals and is putting all of the letters in envelopes. Most of the letters are put into large envelopes and the remaining 20 letters are put into small envelopes. The large envelopes each contain 2 letters each. If Angel has written a total of 80 letters, how many large envelopes did she use?


A dollar is 100 cents, so standard postage is 108 cents. Deborah’s four letters cost 108 * 4 = 432 cents for standard postage. She paid 460 - 432 = 28 cents for international shipping on two letters. Thus, the additional international shipping charge is 28 / 2 = 14 cents per letter.
The answer: 14
Reverse engineering the question: Deborah has four letters to mail. Standard postage is $1.08 per letter, with an additional charge for international mail. Deborah is mailing two letters internationally, and she is paying $4.60 to mail four letters. How many cents is the additional charge per letter for international shipping?


Reasoning and answer: Since 1 hour is 60 minutes, 20 minutes is 20 / 60 = 1 / 3 of an hour. Eating 3 potatoes per 20 minutes is 3 / (1 / 3) = 9 potatoes per hour. At 9 potatoes per hour, it will take Jason 27 / 9 = 3 hours to eat all of the potatoes.
The answer: 3
What was the question?
Question: If Jason eats three potatoes in 20 minutes, how long, in hours, would it take for him to eat all 27 potatoes cooked by his wife?


Since Will was 4 years old 3 years ago, then he is 4 + 3 = 7 years old now. Dina is twice as old as he is so she is 2 * 7 = 14 years old now. In 5 years, Will will be 7 + 5 = 12 years old. In 5 years, Diane will be 14 + 5 = 19 years old. The sum of their ages at that time will be 12 + 19 = 31 years.
The answer: 31
Reverse engineering the question: Diane is twice as old as her brother, Will. If Will was 4 years old 3 years ago, what will the sum of their ages be in 5 years?


Reasoning and answer: The gluten - free cupcakes are 80 / 2 = 40. The vegan cupcakes with gluten are 24 / 2 = 12. The non - vegan cupcakes with gluten are 40 - 12 = 28.
The answer: 28
What was the question?
Question: A mum ordered 80 cupcakes for her daughter's birthday. Half of them are gluten-free. There are 24 vegan cupcakes and half of them are also gluten-free. How many are non-vegan cupcakes that also contain gluten?


Reasoning and answer: 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
What was the question?
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?