Question

45% of the population of a city are men

and 15% are children. If the number of
women is 64,400, find the number of
children.

Answer 1

`\boxed{\textsf{ The number of children is \textbf{24150}.}}`

Explanation:

Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,

`\sf\implies Percentage_((men))= 45/% .\\\\\sf\implies Percentage_((children))= 15\% .`

So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .

So let us take the total number of people be x . So ,

`\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}`

`\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies (40x)/(100)= 64,400 \\\\\sf\implies x =(64,400* 100)/(40)\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}`

`\rule{200}2`

The percentage of children = 15% :-

`\sf\implies Number_((children))= 15\% \ of 161,000\\\\\sf\implies Number_((children))= (15)/(100)* 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_((children))= 24150 }}}`