Answer:
Total number of people=225
Step-by-step explanation:
The total number of each group of people can be expressed as;
Total number of men (m)=(2/5)×total number of people (p)
m=(2/5)p...equation 1
Total number of women (w)=3×total number of children (c)
w=3 c...equation 2
Total number of men (m)=Total number of children (c)+45
m=c+45...equation 3
The total number of people (p)=Number of women (w)+number of children (c)+number of men (m)
where;
Number of women (w)=3 c
Number of children (c)=c
Number of men (m)=c+45
replacing;
The total number of people (p)=3 c+c+(c+45)
p=4 c+45
The total number of people can be expressed as;
p=4 c+45
since the total number of men (m)=(2/5)p
m=2/5(4 c+45)=(8/5) c+18....equation 4
Equating equation 4 to equation equation 3
(8/5) c+18=c+45
(8/5) c-c=45-18
(3/5) c=27
c=27×5/3
c=45
Total number of people, p=4 c+45
replacing with c=45
p=(4×45)+45
p=225
Total number of people=225
