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Q. 101

Expert-verified
Found in: Page 333

### Elementary Algebra

Book edition 2nd
Author(s) Lynn Marecek, MaryAnne Anthony-Smith
Pages 1240 pages
ISBN 9780998625713

# Yuki bought a dress on sale for $72.$ The sale price was $60%$ of the original price. What was the original price of the dress?

The original price of the dress is $120.$

See the step by step solution

## Step 1. Given Information

Yuki bought a dress on sale for $72$ and the sale price was $60%$ of the original price. We have to find the original price of the dress.

## Step 2. Translate into an equation

Let x be the original price of the dress.

Now, the sale price $60%$ of the original price is $72$

So, the equation is

$\left(60%\right)·x=72$

## Step 3. Solve the equation

By proceeding with the calculation further

$\left(60%\right)·x=72\phantom{\rule{0ex}{0ex}}\left(0.6\right)·x=72\phantom{\rule{0ex}{0ex}}x=\frac{72}{0.6}\phantom{\rule{0ex}{0ex}}x=120$

## Step 4. Check the answer

So, yes $60%\mathrm{of}120\mathrm{is}72.$

Thus, the original price of the dress is $120.$