IF THE PRICE OF A NEW CAR IS $36,570, WITH THE 6% SALES TAX INCLUDED IN THE PRICE, WHAT IS THE PRICE OF THE CAR BEFORE TAX?

To find the price of the car before tax, we can break down the problem as follows:

Let $ P $ be the price of the car before tax. Since the 6% sales tax is included in the total price, the total price is:

\[
P + 0.06P = 36,570
\]

This simplifies to:

\[
1.06P = 36,570
\]

To solve for $ P $, divide both sides by 1.06:

\[
P = \frac{36,570}{1.06} \approx 34,509.43
\]

So, the price of the car before tax is approximately **$34,509.43**.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How would the price change if the sales tax were 7% instead of 6%?
2. What would the sales tax amount be on this car at 6%?
3. How do you calculate the price after tax if you only know the pre-tax price and tax rate?
4. What happens to the final price if there are additional fees besides sales tax?
5. How does the tax rate affect the affordability of large purchases like cars?

**Tip:** When solving problems involving percentages, always remember to convert percentage rates to their decimal form by dividing by 100.

Learn how to find the pre-tax price of a car priced at $36,570, including a 6% sales tax. This solution covers percentage calculations and algebraic techniques, suitable for students in Grades 9-12.

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