Including a 9% sales tax, an inn charges $127.53 per night. Find the inns nightly cost before tax is added

1.09x = 127.53

x = 117

To find the inn's nightly cost before tax is added, we need to remove the 9% sales tax.

Let's assume the nightly cost before tax is x.

Since the inn charges $127.53 per night including the 9% sales tax:
x + (0.09 * x) = $127.53

To solve this equation, we can simplify the equation as follows:
1.09x = $127.53

Now we can solve for x by dividing both sides of the equation by 1.09:
x = $127.53 / 1.09

Using a calculator, we find:
x ≈ $117.08

Therefore, the inn's nightly cost before tax is added is approximately $117.08.

To find the inn's nightly cost before tax was added, you need to reverse the calculation by subtracting the sales tax.

Step 1: Convert 9% to decimal form by dividing it by 100: 9/100 = 0.09.

Step 2: Subtract the sales tax from the total cost per night to find the cost before tax: $127.53 - ($127.53 * 0.09).

Let's calculate it:

$127.53 - ($127.53 * 0.09) = $127.53 - $11.48 = $116.05.

Therefore, the inn's nightly cost before tax is $116.05.