# RE2 | meta/muse-spark-1.1 | run 2

## Prompt

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

## Response

The original price was **50 dollars**. After taking 20% off, the sale price becomes 40 dollars.

## Solution

Let the original price be \( x \).

1.  A 20% discount means you pay 80% of the original price:
\[ x \times (1 - 0.20) = 40 \]

2.  Simplify:
\[ 0.8x = 40 \]

3.  Solve for \( x \):
\[ x = \frac{40}{0.8} \]
\[ x = 50 \]

Check: 20% of 50 is \( 0.20 \times 50 = 10 \). \( 50 - 10 = 40 \), which matches the sale price.

Would you like me to show how to calculate this type of discount quickly for any percentage?
