Question

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

Answer 1

Answer:

A. 16, B.32

Step-by-step explanation:

A.

We will say that $T$ is the total capacity of the tank.

Since 12 gallons of water fill the tank to 3/4 capacity, we know that 12 gallons is 3/4 of the total capacity. Hence,

$12=T \cdot \frac{3}{4}$.

The last equation tells us that $T=\frac{4\cdot 12}{3}=16$.

B.

We will say that D is the number of half-gallon bottles that can be filled with the water of the tanke, note that D times 1/2 must be the total capacity of the tank. Hence,

$D \cdot \frac{1}{2}=16$

and so, we get that $D=2 \times 16=32$