Question

A sofa is on sale for $86.40, which is 73% less than the regular price. What is the regular price?

Answer 1

First, express the problem algebraically. Notice that the problem is about the difference because it says "75% less", and that difference is equal to 86.40.

`1x-0.75x=86.40`

Where x is the regular price. Also, we expressed the percentages as decimals. Solve the difference.

`0.25x=86.40`

Then, divide both sides by 0.25.

`\begin{gathered} (0.25x)/(0.25)=(86.40)/(0.25) \\ x=345.60 \end{gathered}`

Therefore, the regular price is $345.60.