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:

[tex]\boxed{\textsf{ The number of children is \textbf{24150}.}}[/tex]

Step-by-step 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 ,

[tex]\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% . [/tex]

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 ,

[tex]\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}[/tex]

[tex]\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}[/tex]

[tex]\rule{200}2[/tex]

The percentage of children = 15% :-

[tex]\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}[/tex]

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