Question

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

Answer 1

The capacity is 16 gallons

This can fill 32 half-gallon bottles

Answer 2

Answer:  a) 16 gallons  b) 32 gallons

Step-by-step explanation:

Since we have given that

Number of gallons = 12

Part of capacity filled = $\dfrac{3}{4}$

So, the capacity of the tank is given by

$\dfrac{\text{Number of gallons}}{\text{Part of capacity of tank}}\\\\\\=\dfrac{12}{\dfrac{3}{4}}\\\\=\dfrac{12\times 4}{3}\\\\=4\times 4\\\\=16\ gallons$

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

$\dfrac{16}{\dfrac{1}{2}}\\\\\\=16\times 2\\\\=32\ gallons$

Hence, a) 16 gallons  b) 32 gallons