Question

3.

12 gallons of water fill a tank to – capacity.
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

Explanation:

Let the full capacity of the tank is x gallons.

a. It is given that 12 gallons of water fill a tank to
`(3)/(4)` capacity.

Hence, we can write
`(3x)/(4) = 12`

⇒
`x = (4 * 12)/(3) = 16` gallons.

b. If the tank is filled to capacity, then there will be 16 gallons of water, with which
`(16)/((1)/(2) ) = 32` numbers of half-gallon bottles of be filled with water. (Answer)