Elementary Algebra

Published by Cengage Learning

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set - Page 183: 17

Answer

The number of beers sold was 400. The number of sodas sold was 250.

Work Step by Step

Let x represent the number of beers sold. Thus, 650 - x represents the number of sodas sold. We set up the proportion and solve by finding the cross products. $\frac{8}{5}$ = $\frac{x}{650 - x}$ 8 $\times$ (650 - x) = 5 $\times$ x 5200 - 8x = 5x 5200 = 13x Divide both sides by 13. x = 400 The number of beers sold was 400. The number of sodas sold was 650 - 400 = 250.

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