Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1: 67

Answer

800 dollars must be invested to raise earnings to 72 dollars per year.

Work Step by Step

Let X represent the amount of money that must be invested to raise the earnings to 72 per year. Now, let’s set up a proportion in which one ratio compares the invested amounts and the other ratio compares the corresponding earnings. So, $\frac{500}{X}$ = $\frac{45}{72}$ To solve this equation, we equate the cross products. 500 $\times$ 72 = X $\times$ 45 36000 = 45X Divide both sides by 45. X = 800. 800 dollars must be invested to raise earnings to 72 dollars per year.
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