Answer: a) 16 gallons b) 32 gallons
Step-by-step explanation:
Since we have given that
Number of gallons = 12
Part of capacity filled = [tex]\dfrac{3}{4}[/tex]
So, the capacity of the tank is given by
[tex]\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[/tex]
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
[tex]\dfrac{16}{\dfrac{1}{2}}\\\\\\=16\times 2\\\\=32\ gallons[/tex]
Hence, a) 16 gallons b) 32 gallons
