Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.5 - Problem Solving and Using Formulas - Exercise Set - Page 68: 37

Answer

The inn's nightly cost before the tax is added $ = \$ 150$

Work Step by Step

Let $ x $ represents the inn's nightly cost before the tax is added. $ 8 \% $ of the inn's price is $ = (0.08)x $. The charges of the inn's including tax is $ \$ 162 $ per night. In mathematical form. $ x+0.08x=162 $ $ (1-0.08)x=162 $ $ 1.08x=162 $ $ x=\frac{162}{1.08} $ $ x=150 $.
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