The number of football players is 4 times the number of basketball players, and the number of baseball players is 9 more than basketball players. If the total number of players is 93 and each one plays a single sport, how many are on each team?
We are told:
Substituting (from )
56 football players, 14 basketball players, and 23 baseball players.
Let the number of football players be x
Let the number of basketball players be y
Let the number of baseball players be z
Now rewrite all the sentences in algebraic form in terms of x, y and z. Doing so we get :
Now we can substitute both x and z (which we have in terms of y) into the last equation and then solve for y. This yields
Now substitute the value of y back into the first 1 equations to determine x and z.
This means there are then 56 football players and 23 baseball players.