Say my x is on avg 17.07 and contributes 41% to the total. The current total AVG is 25.57 . If x would increase from contribution from 41 to 57%, what would the new overall avg be?

To determine the new overall average, given the increase in the contribution percentage of \( x \) from 41% to 57%, let's break down the solution with some calculations.

1. **Given Information:**
   - Current average of \( x = 17.07 \)
   - Current contribution of \( x = 41\% \) to the total
   - Current overall average of all variables = 25.57

2. **Define Variables:**
   - Let \( y \) represent the weighted average of the other contributing values (the rest, apart from \( x \)).

3. **Current Weighted Average Equation:**
   Since the overall average (25.57) is a weighted combination of \( x \) and \( y \), we have:
   \[
   0.41 \cdot 17.07 + 0.59 \cdot y = 25.57
   \]

4. **Solving for \( y \):**
   \[
   7.0087 + 0.59y = 25.57
   \]
   \[
   0.59y = 18.5613
   \]
   \[
   y = \frac{18.5613}{0.59} \approx 31.45
   \]

   So, the weighted average of the other contributing values, \( y \), is approximately 31.45.

5. **New Weighted Average Calculation:**
   Now, if \( x \)'s contribution increases to 57%, the new weights will be 57% for \( x \) and 43% for \( y \).

   Thus, the new overall average, \( \text{New Average} \), would be:
   \[
   0.57 \cdot 17.07 + 0.43 \cdot 31.45
   \]
   Calculating each term:
   - \( 0.57 \cdot 17.07 \approx 9.7299 \)
   - \( 0.43 \cdot 31.45 \approx 13.5235 \)

   So:
   \[
   \text{New Average} \approx 9.7299 + 13.5235 = 23.2534
   \]

### Final Answer:
The new overall average, with \( x \) contributing 57% to the total, would be approximately **23.25**.

Would you like more details on any step or have questions about this? 

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Here are 5 related questions you might find useful:
1. How does changing the percentage contribution affect weighted averages in general?
2. What if \( x \) were to decrease its contribution instead?
3. How would the result differ if \( y \)'s value changed as well?
4. Could we use a different method to verify this weighted average change?
5. What is the impact of having a larger disparity between \( x \) and \( y \) values?

**Tip:** When working with weighted averages, make sure that the total percentage always adds up to 100% after changes in contributions.

Say my x is on avg 17.07 and contributes 41% to the total. The current total AVG is 25.57. If x would increase from contribution from 41 to 57%, what would the new overall avg be?

Learn how to calculate a new overall average when increasing a weighted contribution. Given x's average at 17.07 and its contribution increasing from 41% to 57%, this problem shows the impact on the total average (25.57). Ideal for students in Grades 9-11.

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