# Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Test: 21

#### Work Step by Step

Let r represent the rate of discount. We can use the basic discount guideline to set up an algebraic equation. Original selling price - Discount = Discount sale price Original selling price = 80 Discount sale price = 48 Discount = r $\times$ Original selling price = r $\times$ 80 Substitute these values into the equation to obtain: 80 - 80r = 48 80 - 48 = 80r 32 = 80r Divide both sides by 80. r = 0.4 To convert it into a percent, we multiply it by 100%. The discount rate is 0.4 $\times$ 100% = 40%. Hugh received a 40% discount.

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