The ratio of the number of male and female workers in a textile mill is 5:3. If there are 115 male workers, what is the number of female workers in the mill?

Answer

To solve the problem, we need to find the number of female workers in a textile mill given the ratio of male to female workers and the number of male workers.

### Step-by-Step Solution:

1. **Understand the Ratio**:
The ratio of male to female workers is given as 5:3. This means that for every 5 male workers, there are 3 female workers.

2. **Identify the Number of Male Workers**:
We are told that there are 115 male workers in the mill.

3. **Set Up the Ratio**:
We can express the number of male and female workers in terms of the ratio. Let the number of male workers be represented as \(5x\) and the number of female workers as \(3x\), where \(x\) is a common multiplier.

4. **Write the Equation for Male Workers**:
Since we know the number of male workers is 115, we can set up the equation:
\[ 5x = 115 \]

5. **Solve for \(x\)**:
To find \(x\), divide both sides of the equation by 5:
\[ x = \frac{115}{5} = 23 \]

6. **Calculate the Number of Female Workers**:
Now that we have \(x\), we can find the number of female workers using the expression \(3x\):
\[ \text{Number of female workers} = 3x = 3 \times 23 = 69 \]

7. **Conclusion**:
Therefore, the number of female workers in the mill is 69.

### Final Answer:
The number of female workers in the mill is **69**.

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