<p>Carlos went to a sports store to buy running shoes. Running shoes were on sale, with prices reduced by <img alt="$20\%$" height="14" src="https://latex.artofproblemsolving.com/1/1/8/1183a12017e48198b3352789cc39b223b17945d6.png" width="32" /> on every pair of shoes. Carlos also knew that he had to pay a <img alt="$7.5\%$" height="14" src="https://latex.artofproblemsolving.com/b/e/c/bec37f07aa4304df31b1634fa7fc5f5da03c09d3.png" width="37" /> sales tax on the discounted price. He had <img alt="$$43$" height="16" src="https://latex.artofproblemsolving.com/c/f/1/cf1200dbde6aa7bac69c78251946da99609f194e.png" width="29" /> dollars. What is the original (before discount) price of the most expensive shoes he could afford to buy?</p>

Question No: 412

Carlos went to a sports store to buy running shoes. Running shoes were on sale, with prices reduced by $20\%$ on every pair of shoes. Carlos also knew that he had to pay a $7.5\%$ sales tax on the discounted price. He had $$43$ dollars. What is the original (before discount) price of the most expensive shoes he could afford to buy?

Editorial

Tags: Algebra

Question Details