https://file.aiquickdraw.com/mathbot/file/17265552854844pelbiwb.jpg

The equation in the image can be written as:

\[
\overline{X} = \frac{12 \cdot 50 + 1 \cdot 36}{12}
\]

Now, let's break it down step-by-step:

1. **Multiply:**  
   \[
   12 \cdot 50 = 600
   \quad \text{and} \quad 1 \cdot 36 = 36
   \]

2. **Add:**  
   \[
   600 + 36 = 636
   \]

3. **Divide by 12:**  
   \[
   \frac{636}{12} = 53
   \]

Thus, the final result is:

\[
\overline{X} = 53
\]

Would you like further clarification, or have any questions?

### Related Questions:
1. What is the meaning of \(\overline{X}\) in statistics?
2. How would this calculation change if the weights were different?
3. What is the general formula for calculating a weighted average?
4. How does this method differ from finding a simple arithmetic mean?
5. Can you explain how to apply this formula in real-life scenarios?

**Tip:** When dividing, always ensure the result is simplified as much as possible, especially in weighted averages!

What is the solution to the equation provided in the image?

Learn how to solve a weighted average problem where the weights are 12 and 1, using basic arithmetic operations. This problem demonstrates how to calculate a weighted average by multiplying, adding, and dividing.

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