https://file.aiquickdraw.com/mathbot/file/1726681958156wlf04ds9.jpg

The problem in the image reads:

"A coupon subtracts $17.95 from the price $ p $ of a pair of headphones. You pay $71.80 for the headphones after using the coupon. Write and solve an equation to find the original price of the headphones."

### Let's break this down:

1. **Original price**: $ p $ (this is what we need to find).
2. **Discount from the coupon**: $17.95.
3. **Final price after using the coupon**: $71.80.

The relationship between these quantities can be expressed as:
\[
p - 17.95 = 71.80
\]
### To solve for $ p $, add $17.95 to both sides of the equation:
\[
p = 71.80 + 17.95
\]
\[
p = 89.75
\]

### Conclusion:
The original price of the headphones is **$89.75**.

Do you need further clarification or details on this problem? 

Here are five related questions:
1. What would happen if the coupon were worth a different amount?
2. How would you write the equation if the final price included sales tax?
3. What would the price be if there was an additional 10% discount after applying the coupon?
4. Can you create a similar problem but with a different discount and final price?
5. How would the equation change if instead of a fixed amount, the discount was a percentage of the original price?

**Tip:** When dealing with word problems, always translate the text into a mathematical equation before solving.

A coupon subtracts $17.95 from the price p of a pair of headphones. You pay $71.80 for the headphones after using the coupon. Write and solve an equation to find the original price of the headphones.

Learn how to solve a linear equation involving a coupon discount for a pair of headphones. This step-by-step solution shows how to calculate the original price when a coupon subtracts $17.95 from the final price of $71.80. Suitable for students in Grades 6-8.

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