Answer:
The total number of women (w)=800
Step-by-step explanation:
We can express the total number of each group as follows;
Total number of people (p)=Number of Adults (a)+number of children (c)
2,500=a+c....equation 1
Number of Adults (a)=4×number of children (c)
a=4 c....equation 2
Replacing the value of a in equation 1 with the value for a in equation 2
2,500=4 c+c
5 c=2,500
c=2,500/5
c=500
Number of children (c)=500
Replace the value of c in equation 2 with 500 and solve
a=4×500
a=2,000
Number of adults (a)=2,000
But the total number of adults can be expressed as;
Total number of adults (a)=Total number of men (m)+total number of women (w)
a=m+w
where;
a=2,000
m=1,200
replacing;
2,000=1,200+w
w=2,000-1,200
w=800
The total number of women (w)=800
