Question

$12$ gallons of water fills a tank to $\frac{3}{4}$th of its total capacity. Then the capacity of the tank is .

• A. 48 gallons
• B. 24 gallons
• C. 8 gallons
• D. 16 gallons

Answer 1

The correct option is D 16 gallons

As per the question,
$\frac{3}{4}\text{th Water tank's Capacity}=12\text{gallons}$
$\Rightarrow \frac{3}{4}\times \text{Water tank's Capacity}=12\text{gallons}$
$\Rightarrow \text{Water tank's Capacity}=12÷\frac{3}{4}\text{gallons}$

$\Rightarrow \text{Water tank's Capacity}=12\times \frac{4}{3}\text{gallons}$

$\Rightarrow \text{Water tank's Capacity}=16\text{gallons}$

So, total capacity of the water tank is 16 gallons.