There are 400 - 120 - 200 = 80 students in music. Thus, students in music make up (80 / 400) * 100 = 20% of the students.
The answer: 20
Reverse engineering the question: There are 400 students. 120 students take dance as their elective. 200 students take art as their elective. The rest take music. What percentage of students take music?


Reasoning and answer: The conference center can hold up to 80 x 6 = 480 people. Today, there are 480 x 2 / 3 = 320 people in the conference center.
The answer: 320
What was the question?
Question: A conference center has six rooms. Each room can hold up to 80 people. Today, the conference center is only 2/3 full. How many people are in the conference center?


There are 22 pieces of pizza because 14 plus 8 equals 22. They have eaten 18 pieces of pizza because 9 plus 9 equals 18. There are 4 pieces of pizza left because 22 minus 18 equals 4. There are 2 pieces per person because 4 divided by 2 equals 2.
The answer: 2
Reverse engineering the question: Phil and Andre decide to order some pizza. They get a small cheese and a large pepperoni. The small pizza has 8 slices, The large has 14 slices. They have both eaten 9 slices already. How many pieces are left per person?


Reasoning and answer: First find the percentage of milk bottles that are fresh: 100% - 20% = 80%. Then find the percentage of the eggs that aren't rotten: 100% - 60% = 40%. Then find the fraction of the flour canisters that don't have weevils: 1 - 1 / 4 = 3 / 4. Divide the numerator of this fraction by the denominator and multiply by 100% to convert from a fraction to a percent: 3 / 4 * 100% = 75%. Then multiply the probability that each ingredient is good to find the probability they all are: 75% * 80% * 40% = 24%.
The answer: 24
What was the question?
Question: Jackson is making pancakes with three ingredients: flour, milk and eggs. 20% of the bottles of milk are spoiled and the rest are fresh. 60% of the eggs are rotten. 1/4 of the cannisters of flour have weevils in them. If Jackson picks a bottle of milk, an egg and a canister of flour at random, what are the odds all three ingredients will be good?


The rival team won twice as many as the home team who won 3 matches so they won 2 * 3 = 6 matches. They both drew 4 matches each for a total of 2 * 4 = 8 matches. The total number of matches played is 3 + 6 + 8 = 17 matches.
The answer: 17
Reverse engineering the question: A rival football team has won twice as many matches as the home team they will be playing did. If records show that the home team has won three matches, and each team drew four matches and lost none, how many matches have both teams played in total?


Tony’s age now is 24 / 2 = 12 years old. In 6 years he will be 12 + 6 = 18 years old.
The answer: 18
Reverse engineering the question:
Jacob is 24 years now. His brother Tony is half Jacob's age. In 6 years how old will tony be?