## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 6 - Algebra: Equations and Inequalities - 6.3 Applications of Linear Equations - Exercise Set 6.3 - Page 375: 40

$240 per night #### Work Step by Step The sales tax on the charge of inn’s nightly cost is 5%. So, the given charge is 105% of the inn’s charge without sales tax. Consider the equation to calculate the charge at 105%$x\times \frac{105}{100}=252$Here, x is the charge without the sales tax. Now, solve the above equation$\begin{align} & x\times \frac{105}{100}=252 \\ & x=252\times \frac{100}{105} \\ & =\240\end{align} Thus, the inn’s nightly cost without tax is \$240.

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