Question

The airline advertised lower fares. The new fare for flying to Austin is $320. If this fare is 20 percent lower than the original fare, what was the original fare?

Answer 1

ANSWER:

$400

STEP-BY-STEP EXPLANATION:

The original value would be the sum between the discount percentage (20%) and the discount value ($320).

Therefore, we calculate it as follows:

$x=x\cdot\frac{20}{100}+320$

Let x be the original value, we solve for x:

$\begin{gathered} x=0.2x+320 \\ x-0.2x=320 \\ 0.8x=320 \\ x=\frac{320}{0.8} \\ x=\text{\ }400 \end{gathered}$

The original fare is $400