2 pizzas were ordered and had 12 slices each for a total of 2 * 12 = 24 slices. Dean ate 1 / 2 of a 12 sliced pizza so 12 / 2 = 6 slices were left over. Sammy ate 1 / 3 of a 12 sliced pizza so 12 / 3 = 4 slices were left over. Dean ate 6 slices, Sammy ate 4 and Frank had 3 so 6 + 4 + 3 = 13. They started with 24 slices and 13 slices so 24 - 13 = 11 slices left.
The answer: 11
Reverse engineering the question: Dean ordered 2 large pizzas that were each cut into 12 slices. His friends Frank and Sammy came over to enjoy some pizza and watch a movie. Dean was hungry and ate half of the Hawaiian pizza. Frank only ate 3 slices of Hawaiian pizza and Sammy ate a third of the cheese pizza. How many total slices were left over?


Reasoning and answer: Nathan can do 20 x 2 = 40 sit ups. Ken and Nathan's combined number is 20 + 40 = 60 sit - ups. Bob can do 60 / 2 = 30 sit - ups. Bob can do 30 - 20 = 10 more sit - ups than Ken.
The answer: 10
What was the question?
Question: Ken can do 20 sit-ups without stopping. Nathan can do twice as many, and Bob can do half the number of Ken and Nathan's combined sit-ups. How many more sit-ups can Bob do compared to Ken?


The blacksmith can create a total of 400kg iron / 2kg iron per horseshoe = 200 horseshoes. The farms need enough horseshoes for 2 farms * 2 horses each = 4 horses. The stables need enough horseshoes for 5 stables * 2 horses each = 10 horses. So in total, the farms and stables have 4 + 10 = 14 horses that need horseshoes. This is a total of 14 horses * 4 horseshoes per horse = 56 horseshoes. This means the blacksmith has 200 total horseshoes – 56 horseshoes for the stables and farms = 144 horseshoes left for the riding school. The riding school therefore will have enough horseshoes for 144 horseshoes / 4 horseshoes per horse = 36 horses.
The answer: 36
Reverse engineering the question: A blacksmith has 400kg of iron to make horseshoes for neighbouring farms and stables. There are 2 farms nearby, each of which has 2 horses. There are 2 stables nearby which all have 5 horses each. While the blacksmith is crafting, a riding school reaches out and asks for as many horseshoes as possible for their own horses. The blacksmith promises to give them however many horseshoes he has left when he has finished his orders for the farms and stables. If each horseshoe needs 2kg of iron, how many horses will get new horseshoes at the riding school?


Reasoning and answer: If they won 40 games in the first competition, they won 5 / 8 * 40 = 25 games in their second season. In the third competition, they won games equal to the sum of the games they won in the last two competitions, which is 25 + 40 = 65 games. Since the total number of games they won in the first two competitions is 65, and they won 65 more in the third competition, they won a total of 65 + 65 = 130 in all competitions.
The answer: 130
What was the question?
Question: A basketball team won 40 games in their last competition. In the next competition, they won 5/8 times as many games as they won in their first competition. In the third competition, they won the same number of games as the sum of the first and second competition winnings. Calculate the total number of wins they had in the three competitions.


There are 60 students x 2 / 3 = 40 students who have a $6 daily allowance. While there are 60 students - 40 students = 20 students who have a $4 daily allowance. The sum of the allowances of the 40 students who received $6 daily is 40 students x $6 / day = $240. The sum of the allowances of the 20 students who received $4 daily is 20 students x $4 / day = $80. The total daily amount of money of those 60 students is $240 + $80 = $320.
The answer: 320
Reverse engineering the question: A Statistics student wants to find out the average daily allowance of the middle school students. According to his survey, 2/3 of the students receive an average of $6 allowance per day while the rest gets an average of $4 a day. If he surveyed 60 students, what is the total amount of money those 60 students get in a day?


Let t be the price of the small tubs. 3 * 6 + 6 * t = 48. 18 + 6 * t = 48. 6 * t = 48 - 18 = 30. 6t = 30. t = 5 dollars for each small tub.
The answer: 5
Reverse engineering the question:
Alison bought some storage tubs for her garage. She bought 3 large ones and 6 small ones, for $48 total. If the large tubs cost $6, how much do the small ones cost?