The ratio is 4:7.
Multiply both sides until the men's side reaches 60. We find how much we multiply by with a division:
[tex] \frac{60}{4} = 15 [/tex]
Multiply both sides by 15:
[tex](4*15):(7*15) = 60 : 105[/tex]
So there are 60 men and 105 women for a total of 165 people.