Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapters 1-4 Cumulative Review Problem Set: 51

Answer

The length of one piece is 12 feet. The length of the other piece is 18 feet.

Work Step by Step

Let x represent the length of one piece. The length of the other piece is 30 - x. Now, let’s set up a proportion with the ratio given and a ratio which compares the corresponding lengths. $\frac{2}{3}$ = $\frac{x}{(30-x)}$ To solve this equation, we equate the cross products. 2 $\times$ (30 - x) = x $\times$ 3 60 - 2x = 3x 60 = 5x Divide both sides by 5. x = 12 The length of one piece is 12 feet. The length of the other piece is 30 - 12 = 18 feet.
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