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: 19

Answer

The number of male students is 8. The number of female students is 32.

Work Step by Step

Let x represent the number of male students. The number of female students is 40 - x. Now, let’s set up a proportion with the ratio given and a ratio which compares the number of male students to the number of female students. $\frac{1}{4}$ = $\frac{x}{40 - x}$ To solve this equation, we equate the cross products. 1 $\times$ (40-x) = 4 $\times$ x 40 - x = 4x 40 = 5x Divide both sides by 5. 8 = x The number of male students is 8. The number of female students is 40 - 8 = 32.
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