A group of friends went to a restaurant, and the total bill was $365, including 13% sales
tax. What was the total of the bill before tax?

To find the total of the bill before tax, we can set up an equation. Let $ x $ represent the total bill before tax. Since 13% sales tax was added to the bill, the final amount (including tax) is 113% of the original bill.

The equation would be:

\[
1.13x = 365
\]

Now, solve for $ x $:

\[
x = \frac{365}{1.13}
\]

Let's calculate that.

\[
x \approx 323.01
\]

So, the total of the bill before tax was approximately **$323.01**.

Would you like more details or have any questions?

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Here are 5 related questions:
1. If the sales tax was 15%, what would the total bill be?
2. How would the bill change if they added a 10% tip on the total before tax?
3. If the tax had not been included, what percentage of the final bill is sales tax?
4. How much would each person pay if 5 friends split the bill evenly before tax?
5. If the sales tax was 13%, how much was the tax amount alone?

**Tip:** When dealing with percentage increases, it's useful to express the final value as a multiple of the original (like $ 1 + \text{rate} $) for easy calculations.

A group of friends went to a restaurant, and the total bill was $365, including 13% sales tax. What was the total of the bill before tax?

Learn how to calculate the total bill before tax when given the final amount, including sales tax. This step-by-step solution explains percentage calculations and algebra, suitable for Grades 6-8. The problem involves finding the original amount before a 13% sales tax, with a final bill of $365.

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