question 12, 1.3.17\nincluding a 5% sales tax, an inn charges $169.05 per night. find the inns nightly cost…

question 12, 1.3.17\nincluding a 5% sales tax, an inn charges $169.05 per night. find the inns nightly cost before tax is added.\npoints: 0\n45.83%, 11 of 24 points\nsave
Answer
Explanation:
Step1: Let the cost before tax be $x$.
The total cost including 5% sales - tax is $x+0.05x = 1.05x$.
Step2: Set up the equation.
We know that $1.05x=169.05$.
Step3: Solve for $x$.
Divide both sides of the equation by 1.05: $x=\frac{169.05}{1.05}=161$.
Answer:
$161$