Q43. - Algebra 1

Question

SHOPPING Marta got 60% off a pair of shoes. If the shoes cost $9.75 (before sales tax), what was the original price of the shoes?

Step-by-Step Solution

Answer

The original cost of the shoes is 16.25 dollars.

Step 1. Let x be the cost of shoes before the tax and y be the original cost.

$\begin{array}{l}\text{Shoes cost before the tax}=9.75\text{ dollars}\\ \text{Off on the shoes}=60\%\end{array}$

Step 2. Formula used.

To find what percent is a number x of another number y, use the below formula.

$\begin{array}{l}x\text{ is percent of }y=\frac{x\times 100}{y}\%\\ \text{Where }x\text{ is give value and }y\text{ be the original value}\end{array}$

Step 3. Calculate the percent of saline in pure water.

$\begin{array}{l}\text{Original cost of the shoes }\\ \frac{9.75\times 100}{y}=60\%\\ y=\frac{9.75\times 100}{60}\\ y=16.25\text{ dollars}\end{array}$

Therefore, the original cost of the shoes is 16.25 dollar.