Answer: 80 men
Step-by-step explanation:
Let m represent the number of men , w , the number of women and c the number of children , then we have:
m : w = 4 : 5 ............... equation 1
w : c = 10 : 9 ............ equation 2
Multiply equation 1 by 2 so as to get the ratio m:w:c , that is
equation 1 becomes : m: w = 8 : 10
so the combine ration m : w : c is 8 : 10 : 9
The total ratio is therefore 8 + 10 + 9 = 27
number of men = ratio of men/ total ratio X 270
number of men = 8/27 X 270
number of men = 8 X 10
number of men = 80
