https://file.aiquickdraw.com/mathbot/file/1728433841094zrt3l6dd.jpg

Let's break this down step by step, starting with problem 6 from the image:

You are asked to calculate the **Regular Selling Price** and **Sale Price** for each item in the table. The regular selling price is determined by the **Markup Rate Based on Selling Price**.

Here's the formula to calculate the **Regular Selling Price**:

\[
\text{Regular Selling Price} = \frac{\text{Case Cost}}{1 - \text{Markup Rate}}
\]

Then, for the **Sale Price**, you need to mark down the regular selling price by **25%**. This can be calculated as:

\[
\text{Sale Price} = \text{Regular Selling Price} \times (1 - 0.25)
\]

### Let's compute the Regular Selling Price and Sale Price for each item:

#### 1. Butter-top dinner rolls
- **Case Cost** = $9.48
- **Markup Rate** = 25% = 0.25

\[
\text{Regular Selling Price} = \frac{9.48}{1 - 0.25} = \frac{9.48}{0.75} = 12.64
\]
\[
\text{Sale Price} = 12.64 \times 0.75 = 9.48
\]

#### 2. Crescent dinner rolls
- **Case Cost** = $14.88
- **Markup Rate** = 29% = 0.29

\[
\text{Regular Selling Price} = \frac{14.88}{1 - 0.29} = \frac{14.88}{0.71} = 20.96
\]
\[
\text{Sale Price} = 20.96 \times 0.75 = 15.72
\]

#### 3. Banana bread
- **Case Cost** = $23.52
- **Markup Rate** = 30% = 0.30

\[
\text{Regular Selling Price} = \frac{23.52}{1 - 0.30} = \frac{23.52}{0.70} = 33.60
\]
\[
\text{Sale Price} = 33.60 \times 0.75 = 25.20
\]

#### 4. Apricot nut bread
- **Case Cost** = $26.82
- **Markup Rate** = 29% = 0.29

\[
\text{Regular Selling Price} = \frac{26.82}{1 - 0.29} = \frac{26.82}{0.71} = 37.77
\]
\[
\text{Sale Price} = 37.77 \times 0.75 = 28.33
\]

#### 5. Cranberry nut muffins
- **Case Cost** = $21.12
- **Markup Rate** = 30% = 0.30

\[
\text{Regular Selling Price} = \frac{21.12}{1 - 0.30} = \frac{21.12}{0.70} = 30.17
\]
\[
\text{Sale Price} = 30.17 \times 0.75 = 22.63
\]

---

### Final Answers for Question 6:

| Description            | Regular Selling Price | Sale Price |
|------------------------|-----------------------|------------|
| Butter-top dinner rolls | $12.64                | $9.48      |
| Crescent dinner rolls   | $20.96                | $15.72     |
| Banana bread            | $33.60                | $25.20     |
| Apricot nut bread       | $37.77                | $28.33     |
| Cranberry nut muffins   | $30.17                | $22.63     |

---

Now, let's look at **Question 7**:

You are given that the item is on sale for $11.98 after a **60% markdown**. You need to find:

a. The **Regular Selling Price**

The formula to calculate the regular price is:

\[
\text{Regular Price} = \frac{\text{Sale Price}}{1 - \text{Markdown Rate}} = \frac{11.98}{1 - 0.60} = \frac{11.98}{0.40} = 29.95
\]

b. The **Markdown**

The markdown is:

\[
\text{Markdown} = \text{Regular Price} \times \text{Markdown Rate} = 29.95 \times 0.60 = 17.97
\]

### Final Answers for Question 7:

- **Regular Selling Price** = $29.95
- **Markdown** = $17.97

---

Would you like more details or have any questions?

Here are five related questions to explore:
1. What is the significance of the markup rate in pricing?
2. How does markdown influence profit margins in retail?
3. How could a store determine the optimal discount rate for a promotion?
4. If the markdown rate were increased to 70%, how would that affect the sale price in Question 7?
5. What are other common strategies retailers use besides markdowns to attract customers?

**Tip:** When working with percentages, always convert them to decimals (e.g., 25% becomes 0.25) for accurate calculations.

Dottie Hanlen works for Delta Grocery Store. She is usually a stocker but has been asked to price some packages of frozen foods. She has been asked to mark down the regular selling price of each item 25% for a storewide promotion. Complete the table. Round to the nearest cent.

Learn how to calculate the regular selling price and sale price of products during a storewide promotion. This problem involves finding the markup rate based on selling price and applying a markdown rate to determine the final sale price. Suitable for students in Grades 9-12.

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