Question

12 gallons of water fill a tank to 3/4 capacity.

a. What is the capacity of the tank?
b. If the tank is then filled to capacity, how many half-gallon bottles can be filled with the water in the tank?

Answer 1

a. 16 gallons

b. 32 bottles

Explanation:

a. Let the capacity of the tank = x gallon

Therefore,
`(3)/(4)x=12gallon`

`x=(4* 12)/(3)`

`x=(48)/(3)`

x = 16 gallons

The capacity of the tank is 16 gallons.

If the tank is then filled to the capacity,

The number of
`(1)/(2)` gallon bottles can be filled =
`(16)/((1)/(2) )`

=
`(16* 2)/(1)`

= 32 bottles

32 bottles can be filled from the tank fill with capacity.