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 Review Problem Set: 20

Answer

The amount of tips the busboy received is 25 dollars. The amount of tips the waiter received is 200 dollars.

Work Step by Step

Let x represent the amount of tips the busboy received. The waiter received 225 - x. Now, let’s set up a proportion with the ratio given and a ratio which compares the corresponding amount of tips received. $\frac{1}{8}$ = $\frac{x}{225 - x}$ To solve this equation, we equate the cross products. 1 $\times$ (225-x) = 8 $\times$ x 225 - x = 8x 225 = 9x Divide both sides by 9. 25 = x The amount of tips the busboy received is 25 dollars. The amount of tips the waiter received is 225 - 25 = 200 dollars.
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