A discount equation calculates the reduced price of an item after a discount is applied. The general formula for finding the sale price after a discount is:

\[
\text{Sale Price} = \text{Original Price} - \text{Discount Amount}
\]

Or, if you want to calculate the discount amount and then the sale price using a percentage, the formula is:

\[
\text{Discount Amount} = \text{Original Price} \times \frac{\text{Discount Percentage}}{100}
\]

\[
\text{Sale Price} = \text{Original Price} - \text{Discount Amount}
\]

Alternatively, you can combine these into a single equation:

\[
\text{Sale Price} = \text{Original Price} \times \left(1 - \frac{\text{Discount Percentage}}{100}\right)
\]

### Example:
If the original price of an item is $50 and the discount percentage is 20%, then:

\[
\text{Discount Amount} = 50 \times \frac{20}{100} = 10
\]

\[
\text{Sale Price} = 50 - 10 = 40
\]

Or using the combined formula:

\[
\text{Sale Price} = 50 \times \left(1 - \frac{20}{100}\right) = 50 \times 0.8 = 40
\]

Would you like to see more examples, or do you have any questions?

Here are some related questions you might find interesting:

1. How do you calculate the original price if you know the sale price and discount percentage?
2. How do you find the discount percentage if you know the original price and sale price?
3. What happens when multiple discounts are applied consecutively?
4. How do you calculate the total savings after applying a discount?
5. How do discounts affect the overall profit margin?

**Tip:** When calculating discounts, always double-check whether the percentage is applied to the original price or after previous discounts for compounded scenarios.

Understand how to calculate the sale price of an item using a discount equation. This page covers key algebraic concepts such as percentage and discount calculations, with step-by-step examples. Ideal for students in Grades 6-8.

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