8 items at 150.00, 6 items at 140.00, 18 items at 130.00 and 18 items at 125.00, what is the average price?

To find the average price, we can calculate the **weighted average** by multiplying each price by the number of items and then dividing the total cost by the total number of items.

Here's the step-by-step process:

1. Multiply each price by the number of items:
   - $ 8 \times 150 = 1200 $
   - $ 6 \times 140 = 840 $
   - $ 18 \times 130 = 2340 $
   - $ 18 \times 125 = 2250 $

2. Add the total costs:
   \[
   1200 + 840 + 2340 + 2250 = 6630
   \]

3. Add the total number of items:
   \[
   8 + 6 + 18 + 18 = 50
   \]

4. Divide the total cost by the total number of items to get the average price:
   \[
   \frac{6630}{50} = 132.60
   \]

So, the **average price** is **\$132.60**.

Would you like further details or have any questions?

Here are 5 related questions you can explore:
1. How does changing the price of one category affect the overall average?
2. What is the median price of these items?
3. How would the total cost change if you increased the quantity of the 140.00 items?
4. What would the average price be if you added another 10 items at 135.00?
5. How can we use this weighted average method in a different scenario, such as grades?

**Tip**: Weighted averages are especially useful when dealing with different quantities of grouped data.

Learn how to calculate the weighted average price for 8 items at $150, 6 items at $140, 18 items at $130, and 18 items at $125. This step-by-step guide explains the weighted average formula and is suitable for students in Grades 6-8.

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