Wade's points is 5 x 20 = 100 after 5 games. His teammates points is 40 x 5 = 200 after 5 games. So, the total score of the whole team is 100 + 200 = 300 after five games.".
The answer: 300
Reverse engineering the question: Wade is the star player of the basketball team. His average points per game is 20, and his teammates' average points per game is 40. How many points will their team have in total after 5 games?


Reasoning and answer: After one week, Susy has 100 + 40 = 140 followers. In the second week, Susy gains 40 / 2 = 20 new followers. In the third week, Susy gains 20 / 2 = 10 new followers. In total, Susy finishes the three weeks with 140 + 20 + 10 = 170 total followers. After one week, Sarah has 50 + 90 = 140 followers. After the second week, Sarah gains 90 / 3 = 30 followers. After the third week, Sarah gains 30 / 3 = 10 followers. So, Sarah finishes the three weeks with 140 + 30 + 10 = 180 total followers. Thus, Sarah is the girl with the most total followers with a total of 180.
The answer: 180
What was the question?
Question: Susy goes to a large school with 800 students, while Sarah goes to a smaller school with only 300 students. At the start of the school year, Susy had 100 social media followers. She gained 40 new followers in the first week of the school year, half that in the second week, and half of that in the third week. Sarah only had 50 social media followers at the start of the year, but she gained 90 new followers the first week, a third of that in the second week, and a third of that in the third week. After three weeks, how many social media followers did the girl with the most total followers have?


Abe is spending a third of his budget on food, so he spends $3000 / 3 = $1000 on food. He spends a quarter of his budget on restaurant supplies, so he spends $3000 / 4 = $750 on supplies. Thus, he spends $3000 - $1000 - $750 = $1250 on employee wages every month.
The answer: 1250
Reverse engineering the question: Abe owns a restaurant. Every month he spends a third of his budget on food, a quarter of his budget on restaurant supplies, and the rest of his budget on employee wages. If his budget is $3000 and he uses it up every month, how much is he spending on wages?


Reasoning and answer: Half of the students are playing basketball, which means 20 / 2 = 10 students play basketball. Two - fifths plays volleyball, which leaves us with 20 * 2 / 5 = 8 students. One - tenth play both games, which means 20 * 1 / 10 = 2 students. There are 10 + 8 = 18 students who play basketball or volleyball. Among these 18 students, 2 of them are playing both games, so that means 18 - 2 = 16 students play only one of the two games. So finally, 20 - 16 = 4 students do not play either game.
The answer: 4
What was the question?
Question: There are 20 students in the class. Half of them play basketball. Two-fifths play volleyball and one-tenth play both basketball and volleyball. How many students in this class do not play either game?


Starting with $100, he paid $20 to Colin, leaving him with $100 - $20 = $80. Twice as much as $20 is 2 * $20 = $40. Thus, he paid $40 to Helen, leaving him with $80 - $40 = $40. Half as much to Benedict as he had paid to Helen is $40 / 2 = $20. Thus, he paid $20 to Benedict, leaving him with $40 - $20 = $20 after paying off all debts.
The answer: 20
Reverse engineering the question: Ian won $100 in the lottery. He decided to use the money to pay off debts. He paid $20 to Colin. He then paid twice as much to Helen, as he had paid to Colin. Then finally, he paid half as much to Benedict, as he had paid to Helen. How much money, in dollars, does he have left after paying off debts?


We can find how long the hare spends running by dividing the distance of the race by the hare's speed: 20 feet / 10 feet / second = 2 seconds. We can do the same for the turtle: 20 feet / 1 foot / second = 20 seconds. Finally, subtract the hare's run time from the turtle's run time to find the length of the head start the turtle needs: 20 seconds - 2 seconds = 18 seconds.
The answer: 18
Reverse engineering the question:
Mark has two pets, a hare that runs 10 feet/second and a turtle that crawls 1 foot/second. If they're going to run a 20 foot-race, how much of a head start (in seconds) does the turtle need to finish in a tie?