Question

At a sale a sofa is being sold for 67% of the regular price. The sale price is $469. What is the regular price?

Answer 1

We have the following information:

• At a sale, a sofa is being sold for ,67% of the regular price

,

• The sale price is $469

And we need to determine the regular price.

To find it, we can proceed as follows:

1. Let x be the regular price. Then we have:

`\begin{gathered} 67\%=(67)/(100) \\ \\ 67\%(x)=(67)/(100)x \\ \\ \text{ Then we know:} \\ \\ (67)/(100)x=\$469 \end{gathered}`

2. Now, we have to solve for x as follows:

`\begin{gathered} \text{ Multiply both sides by }(100)/(67): \\ \\ (67)/(100)*(100)/(67)x=(100)/(67)*\$469 \\ \\ x=(100*\$469)/(67)=\$700 \\ \\ x=\$700 \end{gathered}`

Therefore, in summary, the regular price is $700.