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.

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:

$146$