Mary Sells handmade jewelry at a flea market on weekends. Last month she sold 18 rings at $28 each, 7 necklaces at $102 each, 14 bracelets at $59 each, and 10 earrings at $75 each. What was the weighted average price per item sold? For full marks your answer(s) should be rounded to the nearest cent.

To find the weighted average price per item sold by Mary, we first need to determine the total revenue and the total number of items sold. We can then use the weighted average formula, which is given by:

\[ \text{Weighted Average Price} = \frac{\sum (\text{Price} \times \text{Quantity})}{\sum \text{Quantity}} \]

Here are the calculations step-by-step:

1. Calculate the total revenue for each type of jewelry:
   - Rings: $ 18 \times 28 = 504 $ dollars
   - Necklaces: $ 7 \times 102 = 714 $ dollars
   - Bracelets: $ 14 \times 59 = 826 $ dollars
   - Earrings: $ 10 \times 75 = 750 $ dollars

2. Calculate the total revenue:
   \[
   \text{Total Revenue} = 504 + 714 + 826 + 750 = 2794 \text{ dollars}
   \]

3. Calculate the total number of items sold:
   \[
   \text{Total Items Sold} = 18 + 7 + 14 + 10 = 49 \text{ items}
   \]

4. Calculate the weighted average price per item:
   \[
   \text{Weighted Average Price} = \frac{2794}{49} \approx 57.02 \text{ dollars}
   \]

Therefore, the weighted average price per item sold by Mary, rounded to the nearest cent, is $ \boxed{57.02} $ dollars.

Would you like more details or have any questions?

Here are some questions you might want to ask:
1. How do you calculate the total revenue for each item?
2. What is the formula for the weighted average?
3. How do you sum up the quantities of items sold?
4. Why is it important to round to the nearest cent?
5. Can you explain the significance of the weighted average in this context?

**Tip:** When dealing with weighted averages, always ensure you correctly account for both the quantities and the respective values to get an accurate measure.

Learn how to calculate the weighted average price per item sold by Mary, based on her jewelry sales data. This problem involves arithmetic operations and the application of the weighted average formula. Get a step-by-step solution rounded to the nearest cent.

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