## Algebra 1: Common Core (15th Edition)

The tank's capacity is $24$ gallons of water.
Let us set up an algebraic equation to solve to find how many gallons of water the tank holds. Let $x$ = the amount of gallons of water the tank holds Now, we can translate the words into an equation. The value $18$ is $\frac{3}{4}$ of the capacity of the tank: $18 = \frac{3}{4}x$ We solve for $x$ by dividing each side of the equation by $\frac{3}{4}$. This means that we multiply each side of the equation by the inverse of $\frac{3}{4}$, which is $\frac{4}{3}$: $x = \frac{4}{3}(18)$ Multiply to simplify: $x = \frac{72}{3}$ Divide the numerator by the denominator to simplify the fraction: $x = 24$ The tank's capacity is $24$ gallons.