Question

12 gallons of water fill a tank to 3/4 capsity.A) what is the Captivity 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?

Answer 1

A) 16 gallons

B) 32 half-gallon bottles

Step-by-step explanation:

We are given that:

`12gal=(3)/(4)capacity`

A) We will obtain the full capacity of the tank as shown below:

`\begin{gathered} We\text{ will solve using }simple\text{ proportion, we have:} \\ 12gal=(3)/(4)capacity \\ x=1capacity \\ \text{Cross multiply, we have:} \\ (3)/(4)\cdot x=12*1 \\ (3)/(4)x=12 \\ \text{Multiply both sides by ''4'', we have:} \\ 3x=12*4 \\ \text{Divide both sides by ''3'' to obtain ''x''. We have:} \\ x=(12*4)/(3)=(48)/(3)=16 \\ x=16gal \end{gathered}`

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:

`\begin{gathered} 16\text{ gallons is to be used to fill half-gallon bottles. We have:} \\ \text{half gallon = }(1)/(2)gal \\ Tank=16gal \\ n=16/(1)/(2) \\ n=16*2 \\ n=32 \end{gathered}`

Therefore, 32 half-gallon bottles will be filled with the water in the tank