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

$400

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(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=(320)/(0.8) \\ x=\text{\$}400 \end{gathered}`

The original fare is $400