The ratio between the number of men and women in an office is `5:7`. If the number of women working in the office is 56, find the number of men working in the office.

Answer

To solve the problem, we will follow these steps:

### Step 1: Understand the Ratio
The ratio of men to women is given as \(5:7\). This means that for every 5 men, there are 7 women.

### Step 2: Set Up the Ratio
Let the number of men be \(5x\) and the number of women be \(7x\), where \(x\) is a common multiplier.

### Step 3: Use the Given Information
We know that the number of women in the office is 56. Therefore, we can set up the equation:
\[ 7x = 56 \]

### Step 4: Solve for \(x\)
To find \(x\), we divide both sides of the equation by 7:
\[ x = \frac{56}{7} = 8 \]

### Step 5: Find the Number of Men
Now that we have \(x\), we can find the number of men:
\[ \text{Number of men} = 5x = 5 \times 8 = 40 \]

### Final Answer
The number of men working in the office is **40**.

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