The number of pupils of a class is 55. The ratio of the number of male pupils to the number of female pupils is `5:6`. The number of female pupils is

Options

A. 11
B. 25
C. 30
D. 35

Answer

To solve the problem, we need to find the number of female pupils in a class of 55 pupils, given the ratio of male to female pupils is 5:6.

### Step-by-Step Solution:

1. **Understand the Ratio**:
The ratio of male pupils (M) to female pupils (F) is given as 5:6. This means for every 5 male pupils, there are 6 female pupils.

2. **Calculate the Total Parts of the Ratio**:
To find the total parts represented by the ratio, we add the parts of male and female pupils:
\[ \text{Total parts} = 5 + 6 = 11 \]

3. **Determine the Value of One Part**:
We know the total number of pupils in the class is 55. To find the value of one part, we divide the total number of pupils by the total parts of the ratio:
\[ \text{Value of one part} = \frac{55}{11} = 5 \]

4. **Calculate the Number of Female Pupils**:
Since the number of female pupils corresponds to 6 parts of the ratio, we can find the number of female pupils by multiplying the value of one part by the number of parts for females:
\[ \text{Number of female pupils} = 6 \times 5 = 30 \]

5. **Conclusion**:
Therefore, the number of female pupils in the class is 30.

### Final Answer:
The number of female pupils is **30**.

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