Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 375: 30

Answer

The number of hours is 3 and the total amount spent is $40.

Work Step by Step

Consider the equation for the condition at which both the companies have the same total amount spent $6x+22=28+4x$ Here, x is the number of hours Now, solve the above equation $\begin{align} & 6x+22=28+4x \\ & 6x-4x=28-22 \\ & 2x=6 \\ & x=3 \end{align}$ Now, calculate the total amount spent after the above obtained number of hours for each company $6\left( 3 \right)+22=\$40$ Thus, the number of hours after which the total amount spent at each company is same is 3 hours and the total amount spent for each company for this duration is $40.
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