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

a. 16 gallons

b. 32 bottles

Step-by-step explanation:

a. Let the capacity of the tank = x gallon

Therefore,

x = 16 gallons

The capacity of the tank is 16 gallons.

If the tank is then filled to the capacity,

The number of   gallon bottles can be filled =  

=  

= 32 bottles

32 bottles can be filled from the tank fill with capacity.