Question

At the end of a baseball game, the players were given the choice of having a bottle of water or a box of juice. Of all the players, 12 choose a bottle of water, which was 3/4 of the total number of players. Write and solve an equation to determine p, the total number of players at the baseball game.

Answer 1

16 players.

Explanation:

Given:

Of all the players, 12 choose a bottle of water, which was 3/4 of the total number of players.

Question asked:

Write and solve an equation to determine p, the total number of players at the baseball game.

Solution:

Total number of players = p

Out of 12 total player 12 choose a bottle of water which is
`(3)/(4)` of the total number of players and hence the equation will be:

`12` =
`(3)/(4)\ ofp\\`

`12 =(3)/(4) * p\\12 = (3p)/(4)`

By cross multiplication:

`3p =12*4\\3p =48`

Dividing both sides by 3

`p = 16`

Therefore, the the total number of players at the baseball game is 16.