Elementary Algebra

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

Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3: 67

Answer

The server gets 145 dollars.

Work Step by Step

Let X represent the amount the busboy receives. Three times the amount the busboy receives means 3X The server gets 25 more than three times the amount the busboy receives means 25 + 3X The bartender gets $50 more than the amount the busboy receives means 50 + X. The total in tips to be shared is 275, so we can set up the following equation: X + 25 + 3X + 50 + X = 275 5X + 75 = 275 Subtract 75 from both sides 5X = 200 Divide both sides by 5 X = 40 The server gets 25 + 3X, and X = 40, so the server gets 145.
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