A manufacturer of skateboards offered a 5/3/2 chain discount to many customers. Bob’s Sporting Goods ordered 20 skateboards for a total $643 list price.

To solve this, we need to calculate the total price Bob’s Sporting Goods pays after applying a chain discount of **5/3/2** to the total list price of $643.

### Step-by-step solution:

1. **List Price:**  
   The total list price is $643. This is before any discounts are applied.

2. **First Discount (5%):**  
   Apply the first discount of 5% to the list price.  
   \[
   \text{First discount} = 643 \times \frac{5}{100} = 32.15
   \]
   Subtract this discount from the list price:  
   \[
   \text{New price} = 643 - 32.15 = 610.85
   \]

3. **Second Discount (3%):**  
   Apply the second discount of 3% to the new price:  
   \[
   \text{Second discount} = 610.85 \times \frac{3}{100} = 18.33
   \]
   Subtract this discount from the new price:  
   \[
   \text{New price} = 610.85 - 18.33 = 592.52
   \]

4. **Third Discount (2%):**  
   Apply the third discount of 2% to the new price:  
   \[
   \text{Third discount} = 592.52 \times \frac{2}{100} = 11.85
   \]
   Subtract this discount from the new price:  
   \[
   \text{Final price} = 592.52 - 11.85 = 580.67
   \]

### Final Price:
After applying the chain discount, the total price Bob’s Sporting Goods will pay is **$580.67**.

---

Would you like more details or clarifications on any part of this solution?

Here are some related questions:
1. How are chain discounts typically structured in sales?
2. What is the difference between a single and a chain discount?
3. How do you calculate multiple percentage discounts on a product?
4. How would rounding affect the final price in a multi-discount scenario?
5. What are common mistakes when applying sequential discounts?

**Tip:** When applying chain discounts, always calculate each discount based on the new price after the previous discount.

Learn how to apply a 5/3/2 chain discount to a total list price of $643 for 20 skateboards ordered by Bob’s Sporting Goods. This problem demonstrates the correct approach to calculating sequential percentage discounts and highlights the final discounted price of $580.67 after all discounts are applied. Suitable for Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation