contestada

A pool is filled to 3/4 of its capacity 1/9 of water in the pool, evaporates. If the pool can hold 24,000 gallons when it is full, how many gallons of water will have to be added in order to fill the pool?A. 6,000B. 8,000C.12,000D.16,000

A pool is filled to 34 of its capacity 19 of water in the pool evaporates If the pool can hold 24000 gallons when it is full how many gallons of water will have class=

Respuesta :

First, the pool was filled to 3/4 of its capacity, which is equal to:

[tex]24000\cdot\frac{3}{4}gal=18000gal.[/tex]

Then, 1/9 of the water evaporated remaining 8/9 of the 18000 gal:

[tex]18000\text{gal}\frac{8}{9}=16000gal.[/tex]

Therefore, to fill the pool we need to add:

[tex]24000-16000[/tex]

gallons of water.

Answer: B. 8000.