Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set: 52

Answer

The original price of the purse was 225 dollars.

Work Step by Step

Let p represent the original price of thepurse. We can use the basic discount guideline to set up an algebraic equation. Original selling price - Discount = Discount sale price Original selling price = p Discount = 20% $\times$ p = 0.2p Discount sale price = 180 So, p - 0.2p = 180 0.8p = 180 Divide both sides by 0.8. p = 225 The original price of the purse was 225 dollars.
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