Question

A tank has a capacity of 82 qt. If there is already $\frac{1}{2}$ gal of water in the tank, then qt of water is required to fill it completely.

• A. 79
• B. 80
• C. 78
• D. 81

Answer 1

The correct option is B 80

$\text{Capacity of the tank}$ $\text{= 82 qt}$

$\text{Water available in the tank}$ $\text{=}\frac{1}{2}\text{gal}$

$\text{Let's convert}$ $\text{gallons to quarts.}$

$\text{We know that,}$
$\text{1 gallon =}$ $\text{4 quarts}$


So,
$⟹\frac{1}{2}\text{gal =}$ $\frac{1}{2}$ $\times$ $\text{4 qt}$ $=2\text{qt}$

$\text{Hence, out of 82 qt capacity}$ $\text{of the tank, 2 qt was already filled.}$

$\text{Now we have to find the remaining}$ $\text{amount of water to be filled in}$ $\text{the tank.}$

$\text{Amount of water to be filled}$ $\text{= Total capacity - water available}$

$⟹\text{82 qt - 2 qt = 80 qt}$

$\text{Thus, 80 qt of water is required}$ $\text{to be filled in the tank.}$