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 - Page 150: 69


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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.