# RE2 | meta/muse-spark-1.1 | run 1

## Prompt

After a 20% discount, a jacket costs $40. What was the original price? Show your work.

## Response

The original price was 50 dollars. A 20% discount means you pay 80% of the original, so 80% of the original price equals 40 dollars.

## Work

Let \( P \) be the original price.

1.  Discount rate = 20%, so amount paid = \( 1 - 0.20 = 0.80 \) of original
2.  Equation for sale price:
\[ 0.80 \times P = 40 \]
3.  Solve for \( P \):
\[ P = \frac{40}{0.80} \]
\[ P = 50 \]

Check: 20% of 50 = 10, and 50 - 10 = 40, which matches the sale price.

The original price was 50 dollars.

Want me to show you a quick formula you can use for any discount percentage?
