The inn's per night cost before tax is $220.
Step-by-step explanation:
Given,
Sales tax = 5% = [tex]\frac{5}{100} = 0.05[/tex]
Per night charges including sales tax = $231
Let,
x be the per night charges.
Per night charges + 5% sales tax of per night = 231
[tex]x+0.05x=231\\1.05x=231\\[/tex]
Dividing both sides by 1.05
[tex]\frac{1.05x}{1.05}=\frac{231}{1.05}\\x=220[/tex]
The inn's per night cost before tax is $220.
Keywords: linear expression, addition
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