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: 69

Answer

The child will receive 150,000 dollars.

Work Step by Step

Let X represent the amount the child will receive. Because there are 180,000 dollars to be divided, the local cancer fund will receive 180,000 - X dollars. The ratio used to divide this amount between the child and the cancer fund is 5 to 1, or $\frac{5}{1}$. Now, let’s set up a proportion with the ratio given and a ratio which compares the amount the child will receive to the amount the cancer fund will receive. So, $\frac{5}{1}$ = $\frac{X}{180,000 - X}$ To solve this equation, we equate the cross products. 5 $\times$ (180,000 - X) = 1 $\times$ X 900,000 - 5X = X 900,000 = 6X Divide both sides by 6. X = 150,000 The child will receive 150,000 dollars.
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