Answer :
Answer:
a. 16 gallons
b. 32 bottles
Step-by-step explanation:
a. Let the capacity of the tank = x gallon
Therefore, [tex]\frac{3}{4}x=12gallon[/tex]
[tex]x=\frac{4\times 12}{3}[/tex]
[tex]x=\frac{48}{3}[/tex]
x = 16 gallons
The capacity of the tank is 16 gallons.
If the tank is then filled to the capacity,
The number of [tex]\frac{1}{2}[/tex] gallon bottles can be filled = [tex]\frac{16}{\frac{1}{2} }[/tex]
= [tex]\frac{16\times 2}{1}[/tex]
= 32 bottles
32 bottles can be filled from the tank fill with capacity.