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 Test: 22

Answer

875 women voted.

Work Step by Step

Let x represent the number of women who voted. The number of men who voted is 1500 - x. Now, let’s set up a proportion with the ratio given and a ratio which compares the corresponding number of people who voted. So, $\frac{7}{5}$ = $\frac{x}{1500\ -\ x}$ To solve this equation, we equate the cross products. 7 $\times$ (1500 - x) = 5 $\times$ x 10500 - 7x = 5x 10500 = 12x Divide both sides by 12. x = 875 875 women voted.
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