According to the given information:
- 30% of men attend night school.
- 20% of women attend night school.
- 40% of all employees attend night school.
Let's calculate the number of men and women in the company separately.
Men:
- 30% of men attend night school. Let 'M' be the total number of men in the company. Then the number of men who attend night school is 0.3 * M.
Women:
- 20% of women attend night school. Let 'W' be the total number of women in the company. Then the number of women who attend night school is 0.2 * W.
Total Employees:
- According to the given condition, 40% of all employees attend night school. This can be represented as 0.4 * (M + W).
Equating the Number of Employees:
We can equate the total number of employees who attend night school from both the men's and women's perspectives:
0.3 * M + 0.2 * W = 0.4 * (M + W)
Simplifying the Equation:
0.3M + 0.2W = 0.4M + 0.4W
0.3M - 0.4M = 0.4W - 0.2W
-0.1M = 0.2W
Solving for W:
Dividing both sides by -0.1, we get:
M = 2W
Total Employees:
Now we can substitute M = 2W back into the equation for the total number of employees:
0.4 * (M + W) = 0.4 * (2W + W)
0.4 * 3W = 0.4 * 3W
Conclusion:
This equation shows that the number of men (M) is twice the number of women (W), and together they make up the total number of employees in the company. Therefore, there is no specific value provided in the given information to determine the exact number of men or women who attend night school.