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

Answer:

16 players.

Step-by-step 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 $\frac{3}{4}$ of the total number of players and hence the equation will be:

$12$ = $\frac{3}{4}\ ofp$

$12 =\frac{3}{4} \times p\\12 = \frac{3p}{4}$

By cross multiplication:

$3p =12\times4\\3p =48$

Dividing both sides by 3

$p = 16$

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

Answer 2

Answer:

p = 48

Step-by-step explanation:

Given that:

Total number of players = p

According to given scenario:

p - 12 = 3/4p

By simplifying

Taking terms with p on left and constants on right

p - 3/4p = 12

By taking LCM for left side to make denominators same

4/4*p -3/4p = 12

(4p -3p)/4 = 12

1p/4 = 12

Multiplying both sides by 4 we get

p = 12 * 4

p = 48

So total number of players is 48

i hope it will help you!