Answer: 72
=============================================================
Work Shown:
m = number of men
w = number of women
The ratio of men to women is 5 to 4, which means m/w = 5/4
We can cross multiply and solve for m like so
m/w = 5/4
4m = 5w
m = 5w/4
m = 1.25w
Because there are 162 people total, we then can say:
m+w = 162
1.25w + w = 162
2.25w = 162
w = 162/(2.25)
w = 72
There are 72 women at this company and m = 1.25w = 1.25*72 = 90 men
m+w = 90+72 = 162
m/w = 90/72 = (5*18)/(4*18) = 5/4
Both of those two equations above help confirm our answer.
