## Elementary Algebra

Published by Cengage Learning

# Chapter 3 - Equations and Problem Solving - 3.3 - More on Solving Equations and Problem Solving - Problem Set 3.3 - Page 115: 61

#### Answer

Bob's hourly rate is 9 dollars.

#### Work Step by Step

Let X represent his hourly wage. Since his hourly rate is X, two times his normal hourly rate means 2 $\times$ X = 2X. The first 40 hours, he earned his normal wage,so he earned 40 $\times$ X. For the other 8 hours, because he worked overtime, he earned double his hourly rate, which was 2X. So, for the other 8 hours, he earned 8 $\times$ 2X. In total, he earned 504. So: 40 $\times$ X + 8 $\times$ 2X = 504 40X + 16X = 504 56X = 504 Divide both sides by 56 X = 9

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