### Brain Teasers

# Carousel

Fred was in Washington, D.C., on a school trip to visit the Smithsonian. After lunch the teachers took the students to the Carousel on the Mall (this happened before they closed it down).

While Fred was enjoying his ride, he noticed that one-third of the number of his classmates riding ahead of him, plus three-fourths of them riding behind him, equaled the total number of students on the carousel.

How many students were riding the carousel?

While Fred was enjoying his ride, he noticed that one-third of the number of his classmates riding ahead of him, plus three-fourths of them riding behind him, equaled the total number of students on the carousel.

How many students were riding the carousel?

### Answer

13.The number of students ahead of him equals the number behind him. So,

1/3x + 3/4x = x + 1

When finding the common denominator for the left-hand side of the equation, we get 12, and the sum of the numerators then equals 13.

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