Reasoning and answer: There are 800 x 5 / 8 = 500 girls. So, there are 800 - 500 = 300 boys. There are 500 x 7 / 10 = 350 girls that are in the primary grades. Hence, 500 - 350 = 150 girls are middle schoolers. There are 300 x 2 / 5 = 120 boys that are in the primary grades. Hence, 300 - 120 = 180 boy students are middle schoolers. Therefore, a total of 150 girls + 180 boys = 330 middle schoolers.
The answer: 330
What was the question?
Question: In a school with 800 students, 5/8 of the students are girls. Seven-tenths of the girls and two-fifths of the boys are in the primary grades, while the rest are middle schoolers. How many middle schoolers are there?


All together, Brenda and her friends make a group of 1 + 9 = 10 people. If they each want to eat 2 pizza slices, there should be 10 * 2 = 20 slices. Since a pizza has 4 slices, they will have to order 20 / 4 = 5 pizzas.
The answer: 5
Reverse engineering the question: Brenda and nine of her friends want to order a pizza. They decide that each person will eat 2 slices. If each pizza has 4 slices, how many pizzas should they order?


Reasoning and answer: First find how many purple horses there are: 3 blue horses * 3 purple / 1 blue = 9 purple horses. Then double that number to find how many green horses there are: 9 purple horses * 2 green / 1 purple = 18 green horses. Then divide the number of green horses by 6 to find the number of gold horses: 18 green horses / 6 green / 1 gold = 3 gold horses. Then add the number of horses of each color to find the total number of horses: 9 horses + 18 horses + 3 horses + 3 horses = 33 horses.
The answer: 33
What was the question?
Question: The carousel at the fair has 3 blue horses, three times that many purple horses, twice as many green horses as purple horses, and 1/6th as many gold horses as green horses. How many horses are there total?


They washed 10 + 6 = 16 white shirts. They washede 5 + 8 = 13 colored shirts. They washed 7 + 10 = 17 shorts. They washed 6 + 6 = 12 pants. Therefore, Cally and Danny washed a total of 16 + 13 + 17 + 12 = 58 clothes.
The answer: 58
Reverse engineering the question: Cally and Danny washed their clothes. Cally has 10 white shirts, 5 colored shirts, 7 pairs of shorts, and 6 pairs of pants, while Danny has 6 white shirts, 8 colored shirts, 10 shorts, and 6 pairs of pants. How many clothes did they wash?


Reasoning and answer: 50 x 60 / 100 = 30 people support the first team. 50 x 34 / 100 = 17 people support the second team. So, a total of 30 + 17 = 47 people supported the first and second teams. Thus, 50 - 47 = 3 people did not support either team.
The answer: 3
What was the question?
Question: During one game, a total of 50 people attended a baseball team’s games. Forty percent and thirty-four percent of the audiences are supporters of the first and second teams, respectively. How many people attended the game did not support either of the teams?


Reasoning and answer: Since Governor Sandoval gave 12 commencement addresses, twice the number that Governor Hawkins gave, Governor Hawkins gave 12 / 2 = 6 commencement addresses. The two of them gave 6 + 12 = 18 commencement addresses in total. Governor Sloan gave ten more commencement addresses than Governor Sandoval, a total of 12 + 10 = 22 commencement addresses. The three of them gave 22 + 18 = 40 commencement addresses.
The answer: 40
What was the question?
Question:
In her first term, Governor Sandoval gave twice as many commencement addresses as Governor Hawkins. Governor Sloan gave ten more commencement addresses than Governor Sandoval in the same amount of time. If Governor Sandoval gave 12 commencement addresses, how many commencement addresses did the three of them give altogether?