Including 8% sales tax, an in charges $205.20 per night. Find the nightly cost at the inn before the tax is added.

Write an equation to model the problem and let x represent the nightly cost before tax

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If the Inn charges $205.20 after a tax of 8% is implemented, what is the charge per night before the tax?

we take 205.20 = 108%

what is the 100%?

(100x205.20)/ 104 = $190 per night

Equation to the model will be:

X + 0.08X = 205.20 Answer

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