Reasoning and answer: There are 15 + 10 = 25 students in the class. 375 books were divided equally among them for a total of 375 / 25 = 15 books each. 15 girls will get a total of 15 * 15 = 225 books.
The answer: 225
What was the question?
Question: There are 15 girls and 10 boys in Ms. Smith's class. She divided 375 books equally among them. How many books did all the girls get combined?
There are 24 / 3 = 8 students in the program. And 8 / 2 = 4 go to the tournament.
The answer: 4
Reverse engineering the question: Of the 24 students in class, one-third are in the after-school chess program, and half of those students will be absent from school on Friday for the regional chess tournament. How many of the students in this class are going to that tournament?
Reasoning and answer: Working together, they can decorate 24 + 10 = 34 eggs per hour. It will take them 170 / 34 = 5 hours to decorate all of the eggs.
The answer: 5
What was the question?
Question: Mia can decorate 2 dozen Easter eggs per hour. Her little brother Billy can only decorate 10 eggs per hour. They need to decorate 170 eggs for the Easter egg hunt. If they work together, how long will it take them to decorate all the eggs?
The total cost for the peaches was 400 * $0.40 = $160. The total count of 10 dollar purchases Kataleya received a discount on was $160 / $10 = 16. If each purchase had a $2 discount, the total discount she received is 16 * $2 = $32. She purchased the peaches at $160 - $32 = $128.
The answer: 128
Reverse engineering the question: A store offers a $2 discount for every $10 purchase on any item in the store. Kataleya went to the store and bought 400 peaches sold at forty cents each. Calculate the total amount of money she paid at the store for the fruits.
Reasoning and answer: Let k be the number of koi fish in the pond. 14 - 2 * k = 64. 2 * k = 64 + 14 = 78. 2k = 78. k = 78 / 2 = 39.
The answer: 39
What was the question?
Question: 14 less than two times the number of koi fish in the pond is 64. How many koi fish will you find in the pond?
Reasoning and answer: Originally, there were 90 * 2 / 3 = 60 in the cafeteria. Originally, there were 90 - 60 = 30 outside the cafeteria. Then 30 * 1 / 3 = 10 ran inside. The number of students inside the cafeteria grew by 10 - 3 = 7. There are now 60 + 7 = 67 students in the cafeteria.
The answer: 67
What was the question?
Question:
There are 90 students who have lunch during period 5. Today, two-thirds of the students sat in the cafeteria, while the remainder sat at the covered picnic tables outside. But some yellow-jackets were attracted to their food, and so one-third of the students outside jumped up and ran inside to the cafeteria, while 3 of the students in the cafeteria went outside to see what all the fuss was about. How many students are now in the cafeteria?