Question

14. 40% of the population of a town are men and 35% are women. If the number of children is
20000, find the number of men.

plz can anyone tell the answer with full of explanation
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Answer 1

Answer:

No. of men is 32000.

Step-by-step explanation:

Given:

40% of a town is men.

35% of a town is women.

Number of children is 20000.

To Find:

Number of men = ??

Solve:

Let the total population be x. Then,

$\therefore \mathtt{(40\%\;of\;x)+(35\%\;of\;x)+20000=x}$

$\implies \mathtt{\frac{40x}{100}+\frac{35x}{100}+20000=x}$

$\implies \mathtt{\frac{40x}{100}+\frac{35x}{100}-x=-20000}$

$\implies \mathtt{\frac{40x+35x-100x}{100}=-20000}$

$\implies \mathtt{-\frac{25x}{100}=-20000}$

$\implies \mathtt{\frac{25x}{100}=20000}$

$\implies \mathtt{25x=20000\times100}$

$\implies \mathtt{25x=2000000}$

$\implies \mathtt{x=\frac{2000000}{25}}$

$\implies \mathtt{x=80000}$

$\therefore \texttt{Total population = 80000}$

$\because \mathtt{No. \;of \;men = 40\%\; of\; 80000}$

$\mathtt{=\frac{40}{100}\times 80000 = 32000}$

Hence, the no. of men is 32000.