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

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.
[tex]1x-0.75x=86.40[/tex]Where x is the regular price. Also, we expressed the percentages as decimals. Solve the difference.
[tex]0.25x=86.40[/tex]Then, divide both sides by 0.25.
[tex]\begin{gathered} \frac{0.25x}{0.25}=\frac{86.40}{0.25} \\ x=345.60 \end{gathered}[/tex]