including a 9% sales tax, an inn charges $182.03 per night. find the inns nightly cost before tax is added.

including a 9% sales tax, an inn charges $182.03 per night. find the inns nightly cost before tax is added.

including a 9% sales tax, an inn charges $182.03 per night. find the inns nightly cost before tax is added.

Answer

Explanation:

Step1: Let the cost before tax be $x$.

The cost after 9% tax is $x + 0.09x=1.09x$.

Step2: Set up the equation.

We know that $1.09x = 182.03$.

Step3: Solve for $x$.

$x=\frac{182.03}{1.09}$ $x = 167$

Answer:

$167$