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Let's break down the problem in parts:

### Given Data:
- **Wholesale price of the handbag:** $459

### (a) Direct Purchase from Distributor:
- The distributor marks up the wholesale price by **60%**.
  
To calculate the final price Linda would pay:
- Price = Wholesale Price + (Markup Percentage × Wholesale Price)

The markup is 60% of $459.

\[
\text{Price} = 459 + 0.60 \times 459
\]

### (b) Purchase from a Boutique:
- The boutique gets the handbag from another distributor who marks up the wholesale price by **20%**.
- Then, the boutique marks it up by an additional **40%**.

First, calculate the price the distributor charges the boutique:
\[
\text{Distributor Price} = 459 + 0.20 \times 459
\]
Then, calculate the boutique's price:
\[
\text{Boutique Price} = \text{Distributor Price} + 0.40 \times \text{Distributor Price}
\]

### (c) Comparison:
Based on the two calculations above, we'll determine which option costs less and select the appropriate statement.

Let me calculate the values.### (a) Price from the distributor:
Linda would pay **$734.40** if she buys the handbag directly from the distributor.

### (b) Price from the boutique:
Linda would pay **$771.12** if she buys the handbag from the boutique.

### (c) True Statement:
Linda would pay **less** for the handbag if she buys it directly from the distributor.

Would you like any further details on the calculations, or do you have other questions?

Here are 5 related questions for further exploration:
1. What would the price be if the distributor only marked up the handbag by 50% instead of 60%?
2. How would the final price change if the boutique marked up the distributor price by 50% instead of 40%?
3. What would the final price be if Linda bought the handbag directly from the boutique but with a 10% discount?
4. If Linda wanted to pay no more than $700, what would the maximum markup percentage allowed by the distributor be?
5. How much would Linda save by purchasing from the distributor compared to the boutique?

**Tip**: Always compare percentage markups carefully, especially when multiple markups are applied in sequence (e.g., through different parties like a distributor and boutique).

Linda is looking for the best deal on a designer handbag that has a wholesale price of $459. Help her compare the price of the handbag in different situations by completing the following: (a) If Linda buys the handbag directly from a distributor with a 60% markup, how much will she pay? (b) If Linda buys the handbag from a boutique that gets it from a distributor with a 20% markup and then adds an additional 40%, how much will she pay? (c) Select the true statement about which option is cheaper.

Compare the price of a designer handbag in different scenarios using percentage markups. Learn how to calculate the price based on distributor and boutique markups, starting with a wholesale price of $459. Suitable for students in Grades 8-10.

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