Answer:
A) 16 gallons
B) 32 half-gallon bottles
Explanation:
We are given that:
[tex]12gal=\frac{3}{4}capacity[/tex]A) We will obtain the full capacity of the tank as shown below:
[tex]\begin{gathered} We\text{ will solve using }simple\text{ proportion, we have:} \\ 12gal=\frac{3}{4}capacity \\ x=1capacity \\ \text{Cross multiply, we have:} \\ \frac{3}{4}\cdot x=12\times1 \\ \frac{3}{4}x=12 \\ \text{Multiply both sides by ''4'', we have:} \\ 3x=12\times4 \\ \text{Divide both sides by ''3'' to obtain ''x''. We have:} \\ x=\frac{12\times4}{3}=\frac{48}{3}=16 \\ x=16gal \end{gathered}[/tex]Therefore, the full capacity of the tank is: 16 gallons
B) The number of half-gallon bottles that can be filled wiy=th the water in the tank is calculated as shown below:
[tex]\begin{gathered} 16\text{ gallons is to be used to fill half-gallon bottles. We have:} \\ \text{half gallon = }\frac{1}{2}gal \\ Tank=16gal \\ n=16\div\frac{1}{2} \\ n=16\times2 \\ n=32 \end{gathered}[/tex]Therefore, 32 half-gallon bottles will be filled with the water in the tank
