including a 9% sales tax, an inn charges $159.14 per night. find the inns nightly cost before tax is added.

including a 9% sales tax, an inn charges $159.14 per night. find the inns nightly cost before tax is added.
Answer
Explanation:
Step1: Let the original cost be $x$.
The total cost with 9% tax is $x + 0.09x=1.09x$.
Step2: Set up the equation.
We know that $1.09x = 159.14$.
Step3: Solve for $x$.
$x=\frac{159.14}{1.09}$ $x = 146$
Answer:
$146$