Question

5) At a certain high school, there are three sports: baseball, basketball, and football. Some athletes at this school play two of these three, but no athlete plays in all three. At this school, the ratio of (all baseball players) to (all basketball players) to (all football players) is 15:12:8. How many athletes at this school play baseball?

Answer 1

3y/ 7

Where y = the total number of athletes

Explanation:

Let the total number of athletes = y

Let the number of all baseball athletes = b

Let the number of all basketball athletes = k

Let the number of all football athletes = f

The ratio b: k : f is given by:

15 : 12 : 8

Total proportion = 15 + 12 + 8

= 35

The ratio of all baseball player = 15/ 35

= 3/7

Number of baseball player = 3/7 of y

= 3y/7

The means the three- seventh ( close to half) of the total athletes play baseball ball.