Sure, let's go through the problem step by step.
### Part (a)
To determine how many men the factory employs, we need to calculate what fraction of the total employees (536) are men.
The fraction given is [tex]\(\frac{3}{8}\)[/tex].
So, we multiply the total number of employees by this fraction:
[tex]\[
\frac{3}{8} \times 536
\][/tex]
Carrying out the multiplication:
[tex]\[
\frac{3}{8} \times 536 = 201
\][/tex]
Thus, the factory employs 201 men.
### Part (b)
To find out how many women the factory employs, we need to subtract the number of men from the total number of employees.
Total employees: 536\
Number of men: 201
So, the number of women is:
[tex]\[
536 - 201 = 335
\][/tex]
Therefore, the factory employs 335 women.
By following these steps, we have determined that the factory has 201 men and 335 women among its employees.
