In a factory, the number of female workers is 3 2/3 times the number of male workers. there are 16 more female than male workers. find he total number of workers in the factory.

f = female workers, m = male workers

Step-by-step explanation:

Let the number of female workers be f

and, let the number of male workers be m

we are given that    1. f = 3 2/3 m      or, f = 11/3 m

and                        2. f = m + 16

Since the left hand side of the equations (f) are the same, we can write

11/3 m = m + 16

multiply both sides by 3/11

11/3 * 3/11 m = 3/11 (m + 16)

or,  m = 3/11 (m + 16)

Multiplying both sides by 11, we get

11m = 3 (m + 16)

11m = 3m + 48

subtract 3m from both sides

8 m = 48

m = 6

Substituting the value of m in eqn 2 above

f = 6 + 16 = 22

Therefore, number of men = 6, number of women = 22  (Answer)