Suppose you pay $29.25 for a pair of shoes that has been discounted 35%. what is the original price of the shoes? show how you identify what you are looking for, set up an equation, arrive at your answer, and check your work. then clearly state your answer.

The answer is $30.

We know discounted price of the shoes - $24.
We need to find out the original price of the shoes - x.

The discounted price is 80% of the original price (it is said that shoes have been discounted 20%, so 100-20= 80%).

Let's set up a proportion. If $24 is 80%, how much is 100% (the original price):
$24 : 80% = x : 100 %

After crossing the products:
x = $24 * 100% / 80% = $30

Let's just check the result. After the discount of 20%, shoes will cost:
$30 - 20% = $30 - $30*(20/100) = $30 - $6 = $24.

The original price of the shoes is $30.