# 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?

##### 2 Answers

#### Explanation:

Define:

We are told:

[1]

[2]

[3]

Substituting (from [1])

[4]

Simplifying

[5]

[6]

[7]

Substituting

[8]

Substituting

[9]

56 football players, 14 basketball players, and 23 baseball players.

#### Explanation:

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.