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 the capacity, how many half gallon bottles can be filled in the water tank?

Answer 1

The capacity is 16 gallons

This can fill 32 half-gallon bottles

Answer 2

Answer: a) 16 gallons b) 32 gallons

Explanation:

Since we have given that

Number of gallons = 12

Part of capacity filled =
`(3)/(4)`

So, the capacity of the tank is given by

`\frac{\text{Number of gallons}}{\text{Part of capacity of tank}}\\\\\\=(12)/((3)/(4))\\\\=(12* 4)/(3)\\\\=4* 4\\\\=16\ gallons`

a) the capacity of tank = 16 gallons

b) If the tank is then filled to the capacity, how many half gallon bottles can be filled in the water tank?

Number of half gallons bottles would be

`(16)/((1)/(2))\\\\\\=16* 2\\\\=32\ gallons`

Hence, a) 16 gallons b) 32 gallons