There were 30 + 20 = 50 attendees at the party. A total of 50 x 2 / 5 = 20 people left the party. Nine of those who left were men while 20 - 9 = 11 of them were women. So, 30 - 11 = 19 women stayed at the party. And 20 - 9 = 11 men stayed at the party. Thus, 19 - 11 = 8 more women than men stayed at the party.
The answer: 8
Reverse engineering the question: There were 30 women and 20 men who attended the party. After few hours, 2/5 of the total number of people left. If 9 men left the party, how many more women stayed at the party than men?
Reasoning and answer: He takes 1000 / 500 = 2 pills each time. He takes them 24 / 6 = 4 times a day. So he takes 4 * 2 = 8 pills per day. He takes pills for 2 * 7 = 14 days. So he takes 8 * 14 = 112 pills.
The answer: 112
What was the question?
Question: Jeremy decides to take Tylenol because of the pain he is experiencing. He decides to take 1000 mg every 6 hours for 2 weeks. How many pills do they take if they are each 500 mg?
The length of the box is 3 x the height of 12 inches = 36 inches. The width of the box is 36 inches / 4 = 9 inches. The volume of the box is the height of 12 inches x the length of 36 inches x the width of 9 inches = 3,888 cubic inches.
The answer: 3888
Reverse engineering the question: Justin has a box that is 12 inches in height. The length of the box is 3 times its height and 4 times its width. What is the volume of the box?
Reasoning and answer: You know from the statement that on Monday he sells 2 pastries, so on Tuesday he sells 3, Wednesday 4, Thursday 5, Friday 6, Saturday 7 and Sunday 8 pastries. So the average value is (2 + 3 + 4 + 5 + 6 + 7 + 8) pastries / 7 days. The baker sells, on average, 35 / 7 = 5 pastries / day for 1 week.
The answer: 5
What was the question?
Question: A baker sells pastries for $5 and works 7 days a week. On Monday he sold 2. Every day the number of sales increases by 1 compared to the previous day. On average, how many pastries does he sell on each day of the week?
First, we need to determine how many points Righty scored. To do this we perform 20 / 2 = 10 points since Righty scored half as many as Lefty did. Then, to find the other teammate's points we perform 10 * 6 = 60 points scored, as they scored 6 times as many as Righty did. We then add all three teammates' points together, performing 20 + 10 + 60 = 90 points as the first step towards finding the average. We then divide this sum by the total number of players we're averaging, getting 90 / 3 = 30 points per player.
The answer: 30
Reverse engineering the question: Lefty scores 20 points in a game and his teammate Righty scores half as many as Lefty does. Their other teammate scores 6 times as much as Righty does. What are the average points scored per player on the team?
If Sid attended four times as many college courses as Max, he attended 4 * 40 = 160 college courses. The total of college courses they both attended is 160 + 40 = 200.
The answer: 200
Reverse engineering the question:
Max attended 40 college courses in 2 years. Sid attended four times as many college courses as Max in the same period. What's the total of college courses they both attended?