Question

Including a 5% sales tax, an inn charges $231 per night. Find the inn's nightly cost before the tax is added

Answer 1

The inn's per night cost before tax is $220.

Step-by-step explanation:

Given,

Sales tax = 5% = $\frac{5}{100} = 0.05$

Per night charges including sales tax = $231

Let,

x be the per night charges.

Per night charges + 5% sales tax of per night = 231

$x+0.05x=231\\1.05x=231$

Dividing both sides by 1.05

$\frac{1.05x}{1.05}=\frac{231}{1.05}\\x=220$

The inn's per night cost before tax is $220.

Keywords: linear expression, addition

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