A real estate agent has a new sales goal and must sell a mix of apartments, condos, and houses. In six months, the real estate agent sells 3 apartments for $334221 each, 7 condos for $487817 each, and 10 houses for $1138494 each. Calculate the average price of the properties that this real estate agent sold. Round your answers to two decimal places.

To calculate the average price of the properties that the real estate agent sold, we need to determine the total revenue from all the sales and divide it by the total number of properties sold.

### Step 1: Calculate the total revenue for each type of property.
- **Apartments**:  
  Number of apartments sold = 3  
  Price per apartment = $334,221  
  Total revenue from apartments = $ 3 \times 334,221 = 1,002,663 $

- **Condos**:  
  Number of condos sold = 7  
  Price per condo = $487,817  
  Total revenue from condos = $ 7 \times 487,817 = 3,414,719 $

- **Houses**:  
  Number of houses sold = 10  
  Price per house = $1,138,494  
  Total revenue from houses = $ 10 \times 1,138,494 = 11,384,940 $

### Step 2: Calculate the total number of properties sold.
Total number of properties = $ 3 + 7 + 10 = 20 $

### Step 3: Calculate the total revenue from all properties.
Total revenue = $ 1,002,663 + 3,414,719 + 11,384,940 = 15,802,322 $

### Step 4: Calculate the average price of the properties.
Average price = $ \frac{15,802,322}{20} = 790,116.10 $

### Final Answer:
The average price of the properties that the real estate agent sold is **$790,116.10**.

Would you like further details or have any questions?

Here are some related questions:
1. What is the percentage contribution of each type of property to the total revenue?
2. How would the average price change if the agent sold more apartments?
3. What is the median price of the properties sold?
4. What is the total commission the agent would earn if the commission rate is 5% on each sale?
5. If the agent has a new target to sell 5 more houses, how will it impact the average price?

**Tip:** Understanding the relationship between total sales and average price helps in planning future sales targets efficiently.

Learn how to calculate the average price of properties sold by a real estate agent, including apartments, condos, and houses. The detailed solution uses key concepts like averages, multiplication, and division. Suitable for students in Grades 9-11.

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