if Sofia paid $276.00 for an acoustic guitar after redeeming a 20%-off coupon, what was the original price of the guitar?

To find the original price of the guitar before Sofia used the 20%-off coupon, let's use the following steps:

1. Let the original price of the guitar be denoted by $ P $.
2. Sofia received a 20% discount, which means she paid 80% of the original price after the coupon. So, the equation is:

\[
0.80 \times P = 276
\]

3. To find the original price $ P $, divide both sides by 0.80:

\[
P = \frac{276}{0.80} = 345
\]

Thus, the original price of the guitar was **$345.00**.

Would you like more details or have any questions?

Here are some related questions you might find helpful:
1. What if the discount had been 25% instead of 20%?
2. How would you calculate the amount Sofia saved with the coupon?
3. What if Sofia had a 15% discount instead of 20%, what would the price be then?
4. How do you calculate the new price after a discount in general?
5. How can you express the original price as a percentage increase from the discounted price?

**Tip:** When dealing with percentage problems, always set up the relationship between the original amount and the percentage paid or saved as an equation to simplify your calculations.

If Sofia paid $276.00 for an acoustic guitar after redeeming a 20%-off coupon, what was the original price of the guitar?

Learn how to find the original price of an acoustic guitar if Sofia paid $276 after a 20%-off coupon. This problem covers percentage calculations and algebraic reasoning. Suitable for students in Grades 6-8.

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