Joseph traveled to 6 / 2 = 3 countries. Patrick traveled to 3 * 3 = 9 countries. So, Zack traveled to 2 * 9 = 18 countries.
The answer: 18
Reverse engineering the question: Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to?


Reasoning and answer: Bert was able to earn 8 x $18 = $144 for the toy phones. While Tory was able to earn 7 x $20 = $140 for the toy guns. Therefore, Bert was able to earn $144 – $140 = $4 more than Tory.
The answer: 4
What was the question?
Question: Bert was able to sell 8 toy phones for $18 each, while Tory was able to sell 7 toy guns for $20 each. How much more did Bert earn than Tory?


Jennifer has 2 * 10 = 20 apples. She has a total of 10 + 20 + 20 = 50 fruits. She gives her sister 2 pears + 2 oranges + 2 apples = 6 fruits. After giving her sister 2 of each fruit, she has 50 - 6 = 44 fruits left.
The answer: 44
Reverse engineering the question: Jennifer has ten pears, 20 oranges, and twice as many apples as pears. If she gives her sister two of each fruit, how many fruits does she have left?


Reasoning and answer: 1. Tonya sold $11 worth of small lemonades and $24 worth of medium lemonades which makes $11 + $24 = $35 for small and medium lemonades. 2. Tonya made a total of $50. If she made $35 selling the two smaller sizes and she sold three sizes in all then $50 - $35 = $15 worth of large lemonades. 3. The large lemonades sold for $3 each and Tonya sold $15 worth of large lemonades which means she sold $15 / $3 = 5 large cups of lemonade.
The answer: 5
What was the question?
Question: Tonya has opened a lemonade stand selling lemonade in small, medium, and large cups at $1, $2 and $3 respectively. At the close of business she ended up making $50. As she went back through her inventory she noticed that she sold $11 worth of small lemonades and $24 worth of medium lemonades. How many cups of large lemonade did Tonya sell?


If they played 30 rounds, the total possible points from wins are 5 * 30 = 150 points. Scoring 3 / 5 of the total possible points earns you 3 / 5 * 150 points = 90 points. If Taro scored 4 points less than 3 / 5 of the total points, he scored 90 points - 4 points = 86 points. If the total points scored in the game is 150, then Vlad scored 150 points - 86 points = 64 points.
The answer: 64
Reverse engineering the question: Taro and Vlad play a video game competition together, earning 5 points for every win. After playing 30 rounds, Taro scored 4 points less than 3/5 of the total points scored. How many total points did Vlad score?


The number of students in elementary school is three less than four times the number in middle school: 4 * 50 students = 200 students. This means that there are 200 students - 3 students = 197 students in Elementary school. The total number of students in both levels is 197 students + 50 students = 247 students.
The answer: 247
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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There is three less than four times the number of students in Elementary School as there are in Middle School. If the number of students in Middle school is 50, calculate the total number of students in both levels.