Jared recently purchased a new pair of running shoes. He got a 20% discount, which saved him $9.00.

What was the original price of the shoes?

Your question is. Jared recently purchased a new pair of running shoes. He got a 20% discount, which saved him $9.00.

First you need to find out what 20% so to find that you need to divide 20 by 100 then you will have the answer to that part then you need to add what is left which is the 9 dollars then add the answer of 20% with 9.00 and you will get your answer.

20/100 = 5 and then add 9.00 and you get $14.00 dollars

We can list an algebraic equation.

Let the original price of the shoes be y.

We can conclude that if he saved $9, which means he paid $y - 9

So

y x (1 - 20%) = y - 9

Note that (1 - 20%) is what he has to pay after the discount.

y x 80% = y - 9

0.8y = y - 9

0.8y + 9 = y

9 = y - 0.8y

9 = 0.2y

9 / 0.2 = y

y = 45

Therefore the original price of the shoe is $45