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The problem is asking to solve for the average weight of the female students using the **combined average formula**.

Let's summarize the information:
- There are **15 male students** and **10 female students**.
- The **average weight** of all students (male + female) is **56**.
- The **average weight of the male students** is **58**.
- We are asked to find the **average weight of the female students**.

### Formula for Combined Average:
\[
\text{Average of all students} = \frac{(n_{\text{male}} \times \text{avg}_{\text{male}}) + (n_{\text{female}} \times \text{avg}_{\text{female}})}{n_{\text{male}} + n_{\text{female}}}
\]
Where:
- \( n_{\text{male}} = 15 \)
- \( \text{avg}_{\text{male}} = 58 \)
- \( n_{\text{female}} = 10 \)
- The overall average is 56.

We are solving for the average weight of female students, denoted as \( \text{avg}_{\text{female}} \).

### Substituting values into the formula:
\[
56 = \frac{(15 \times 58) + (10 \times \text{avg}_{\text{female}})}{15 + 10}
\]
Simplifying:
\[
56 = \frac{870 + 10 \times \text{avg}_{\text{female}}}{25}
\]
Multiplying both sides by 25:
\[
1400 = 870 + 10 \times \text{avg}_{\text{female}}
\]
Now, subtract 870 from both sides:
\[
530 = 10 \times \text{avg}_{\text{female}}
\]
Finally, divide by 10:
\[
\text{avg}_{\text{female}} = 53
\]

Thus, the average weight of the female students is **53 kg**.

The correct answer is **E. 53**.

---

Would you like further clarification or more details? Here are some related questions you might explore:

1. How do you calculate combined averages when there are more than two groups?
2. What happens to the overall average if the average for one group increases?
3. Can this method be applied to find other metrics besides weight (e.g., height or test scores)?
4. How does the combined average change if we add more students to either group?
5. Why is it necessary to use weighted averages instead of simply averaging the two averages?

### Tip:
Always make sure to identify the total number of items and the individual group contributions when calculating combined averages!

Diketahui jumlah siswa laki-laki dikelas Silat adalah 15 orang dan siswa perempuan 10. Rata-rata berat badan siswa laki-laki dan perempuan dikelas tersebut adalah 56. Jika rata-rata berat badan laki-laki adalah 58, berapakah rata-rata berat badan perempuan dikelas Silat?

Learn how to calculate the combined average for male and female students in Class Silat, using weighted averages. The problem involves 15 male students with an average weight of 58 and 10 female students. The overall class average is 56. Find out the average weight of female students.

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