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:3y/ 7 Where y =  the total number of athletesStep-by-step explanation:Let the total number of athletes  = yLet the number of all  baseball athletes = bLet the number of all  basketball athletes = kLet the number of all  football athletes  = fThe ratio  b: k : f is given by:15 : 12 : 8Total proportion = 15 + 12 + 8                            =   35 The ratio of all baseball player = 15/ 35                                                     = 3/7Number of baseball player =  3/7  of y                                             = 3y/7The means the three- seventh ( close to half) of the total athletes play baseball ball.