Answer:
A. 16, B.32
Step-by-step explanation:
A.
We will say that [tex]T[/tex] 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,
[tex]12=T \cdot \frac{3}{4}[/tex].
The last equation tells us that [tex]T=\frac{4\cdot 12}{3}=16[/tex].
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,
[tex]D \cdot \frac{1}{2}=16[/tex]
and so, we get that [tex]D=2 \times 16=32[/tex]
