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: 29


The number of months is 5 and the total cost is $165.

Work Step by Step

Consider the equation for the condition at which both the clubs have the same total cost $25x+40=15+30x$ Here, x is the number of months Now, solve the above equation $\begin{align} & 25x+40=15+30x \\ & 30x-25x=40-15 \\ & 5x=25 \\ & x=5 \end{align}$ Now, calculate the total cost after the above obtained number of months for each club $25\left( 5 \right)+40=\$165$ Thus, the number of months after which the total cost at each health club is same is 5 months and the total cost for each club at this time is $165.
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