Answer:
a. 16 gallons
b. 32
Step-by-step explanation:
Let the full capacity of the tank is x gallons.
a. It is given that 12 gallons of water fill a tank to [tex]\frac{3}{4}[/tex] capacity.
Hence, we can write [tex]\frac{3x}{4} = 12[/tex]
⇒ [tex]x = \frac{4 \times 12}{3} = 16[/tex] gallons.
b. If the tank is filled to capacity, then there will be 16 gallons of water, with which [tex]\frac{16}{\frac{1}{2} } = 32[/tex] numbers of half-gallon bottles of be filled with water. (Answer)
