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Part 1
Julia purchased a sweatshirt that was reduced from ​$38 to sell for ​$27. What was the markdown and the rate of​ markdown?

Let's break down the problem and find both the markdown amount and the rate of markdown.

### Step 1: Calculate the markdown
The markdown is simply the difference between the original price and the reduced price.

\[
\text{Markdown} = \text{Original Price} - \text{Reduced Price}
\]

Given:
- Original price = $38
- Reduced price = $27

\[
\text{Markdown} = 38 - 27 = 11
\]

Thus, the markdown amount is $11.

### Step 2: Calculate the rate of markdown
The rate of markdown is the percentage decrease relative to the original price. It can be calculated using the formula:

\[
\text{Rate of Markdown} = \left( \frac{\text{Markdown}}{\text{Original Price}} \right) \times 100
\]

Substitute the values:

\[
\text{Rate of Markdown} = \left( \frac{11}{38} \right) \times 100 \approx 28.95\%
\]

### Final Answer:
- The markdown amount is $11.
- The rate of markdown is approximately 28.95%.

Would you like any more details on this problem?

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Here are 5 related questions for practice:
1. If another item originally priced at $50 is reduced to $35, what is the markdown and rate of markdown?
2. A shirt originally priced at $60 is now sold for $48. What is the rate of markdown?
3. If a markdown of 20% was applied to a $100 jacket, what is the new price of the jacket?
4. How much would an item originally costing $75 be reduced if the markdown rate is 30%?
5. A store applies a $15 markdown on an item originally priced at $45. What is the rate of markdown?

**Tip:** When calculating percentages, always divide the change by the original value and then multiply by 100 to express it as a percentage.

Julia purchased a sweatshirt that was reduced from ​$38 to sell for ​$27. What was the markdown and the rate of​ markdown?

Learn how to calculate the markdown and rate of markdown when a sweatshirt's price is reduced from $38 to $27. This solution involves basic arithmetic concepts like discounts and percentages, suitable for students in Grades 6-8.

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