A car dealership offers 45% off all its cars during its annual sale. Jessica pays $7,150 for her discounted vehicle. What was the original price of the car? Round your answer to the nearest dollar.

To find the original price of the car before the discount, we can use the following steps:

1. Let the original price of the car be $ x $.
2. The dealership offers a 45% discount, so Jessica pays 55% of the original price (since 100% - 45% = 55%).
3. This means that $ 55\% $ of $ x $ equals $7,150.

We can set up the equation:
\[
0.55x = 7,150
\]

4. To find $ x $, divide both sides of the equation by 0.55:
\[
x = \frac{7,150}{0.55}
\]

5. Calculate the value of $ x $:

\[
x = 13,000
\]

So, the original price of the car was **$13,000**.

Would you like more details, or do you have any questions?

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Here are some related questions you might consider:

1. What would Jessica have paid if the discount was 50% instead of 45%?
2. If the original price of the car was $15,000, what would be the sale price with a 45% discount?
3. How much did Jessica save with the 45% discount?
4. If another car was originally priced at $20,000, how much would it cost after a 45% discount?
5. How much would Jessica have to pay if the discount was only 30%?
6. What would be the final price if the original price was $13,000 but with a 60% discount?
7. How much would the car have cost if it had been discounted by only 10%?
8. What percentage discount would Jessica need to pay $5,000 for the same car?

**Tip:** When dealing with percentage discounts, it's often easier to calculate what percentage of the original price remains and work from there.

Discover how to calculate the original price of a car after a 45% discount. Follow a step-by-step solution involving percentage calculations and equations. Example problem: Jessica pays $7,150 for a car after a 45% discount. What was the original price? Learn more!

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