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)

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right