There are 1000 x 30 / 100 = 300 people who are married. There are 1000 x 50 / 100 = 500 people who are single. So, there are a total of 300 + 500 = 800 that are either married or single. This means, 1000 - 800 = 200 are children. Therefore, there are 300 - 200 = 100 more married people than children.
The answer: 100
Reverse engineering the question: At a birthday party, 30% of the guests are married, 50% are single, and the rest are children. If there are 1000 guests, how many more married people are there than children?


Reasoning and answer: There are 48 x 2 / 3 = 32 women on the bus. So, 48 - 32 = 16 are men. Out of the 16, 16 x 1 / 8 = 2 men are standing. Hence, 16 - 2 = 14 men are seated.
The answer: 14
What was the question?
Question: There are 48 passengers on the bus. Two-thirds of the passengers are women and the rest are men. If one-eighth of the men are standing, how many men are seated?


When you add up the temperature for the entire week, it comes to 40 + 50 + 65 + 36 + 82 + 72 + 26 = 371. These temperatures were over 7 days so the average temperature was 371 / 7 = 53 degrees.
The answer: 53
Reverse engineering the question: September's temperature fluctuated severely in 1 week. They started off with 40 degrees on Sunday then hit 50 on Monday, 65 on Tuesday, 36 on Wednesday, 82 on Thursday, 72 on Friday and ended the week at 26 on Saturday. What was the average temperature for that week?


Reasoning and answer: Lily spends $5 + $8 = $13 on celery and bread. Lily spends $12 * (50 / 100) = $6 on cereal. Lily gets 10% off the milk, so she pays 100% - 10% = 90% of its original price. Lily spends $10 * 90% = $9 on milk. She spends $1 * 6 = $6 on potatoes. Thus, she has $60 - $13 - $6 - $9 - $6 = $26 left over for coffee.
The answer: 26
What was the question?
Question: Lily goes to the supermarket. She has $60. She needs to buy 6 items: celery, cereal, bread, milk, potatoes, and coffee. She finds a stalk of celery for $5, cereal for 50% off $12, bread for $8, and milk for 10% off $10. She finds potatoes for $1 each and buys 6. How many dollars does she have left to spend on coffee?


First, find how many calories the walk burned by multiplying the calories burned per mile by the number of miles Cary walked: 3 miles * 150 calories / mile = 450 calories. Then subtract the calories Corey ate to find the net calories Cary burned: 450 calories - 200 calories = 250 calories.
The answer: 250
Reverse engineering the question: Cary walks 3 miles round-trip to the grocery store, where he buys and eats a candy bar with 200 calories. If Cary burns 150 calories per mile walked, what's Cary's net calorie deficit (expressed as a positive number)?


He consumed 2500 calories, 5% of which is added sugar to give 2500 * (5 / 100) = 125 calories of added sugar. He exceeded the recommended intake of 150 calories by 100% for a total consumption of 150 + (150(100 / 100)) = $300. This means he took in 300 - 125 = 175 calories from candy alone. Each candy had 25 calories so 175 calories which means he consumed 175 / 25 = 7 bars?.
The answer: 7
Reverse engineering the question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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It is recommended that men should consume no more than 150 calories of added sugar per day. Mark took a soft drink in the afternoon that contained 2500 calories, 5% of which was from added sugar. Then he bought some bars of candy which had 25 calories of added sugar each. If he eventually exceeded the recommended intake of added sugar by 100%, how many bars of candy did he take?