Including a 6 % sales​ tax, an inn charges $ 117.66 per night.  Find the​ inn's nightly cost before tax is added.
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Part 1
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To find the inn's nightly cost before the 6% sales tax is added, we can set up an equation based on the fact that the total cost (including tax) is $117.66.

Let $ x $ be the nightly cost before tax.

The equation would be:

\[
x + 0.06x = 117.66
\]

This simplifies to:

\[
1.06x = 117.66
\]

Now, solve for $ x $ by dividing both sides by 1.06:

\[
x = \frac{117.66}{1.06} \approx 111.00
\]

So, the inn's nightly cost before tax is approximately **$111.00**.

Would you like more details or have any questions?

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Here are 5 related questions you might be interested in:
1. How do you calculate the price with sales tax?
2. What is the formula to reverse a percentage increase?
3. How can you calculate a discount before tax is applied?
4. If the tax rate were different, how would that affect the nightly cost?
5. How would you calculate multiple nights with tax included?

**Tip:** Always use the formula $\text{Total} = \text{Original} \times (1 + \text{Tax Rate})$ to calculate final prices including tax.

Including a 6% sales tax, an inn charges $117.66 per night. Find the inn's nightly cost before tax is added.

Learn how to calculate the original cost of a night's stay before a 6% sales tax is applied. This problem involves algebraic methods and percentage calculations, and is suitable for students in Grades 6-8. Solve for the original price using the formula Original = Total ÷ (1 + Tax Rate).

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