In a town 45% of population are men , 30% women and remaining are children .If t...

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August 2021 1 14 Report

In a town 45% of population are men , 30% women and remaining are children .If the number of children are 180000 , Find the total population of town and the number of men and women in town.

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InfiniteSoul

Verified answer

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

% of men = 45%
% of women = 30%

______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

Total population = ??
No. of men = ??
No. of women = ??

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

Total %age = 100

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Percentage of children = Total - ( men% + women%)

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Percentage of children = 100 - ( 45 + 30 )

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Percentage of children = 100 - 75

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Percentage of children = 25%

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let total no. of people be x

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$\sf: \implies{\bold{ 25\% of x = 180000}}$

⠀⠀⠀⠀

$\sf: \implies{\bold{ \dfrac{25}{100} of x = 180000}}$

⠀⠀

$\sf: \implies{\bold{ \dfrac{1}{4} of x = 180000}}$

⠀⠀⠀⠀

$\sf: \implies{\bold{ x = 180000 \times 4}}$

⠀⠀⠀⠀

$\sf: \implies{\bold{ x = 720000}}$

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{ Total\: people = 720000 }}}}$

⠀⠀⠀⠀

Number of men

⠀⠀⠀⠀

$\sf: \implies{\bold{ 45\% of 720000 }}$

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$\sf: \implies{\bold{ \dfrac{45}{100} \times 720000}}$

⠀⠀

$\sf: \implies{\bold{ 45 \times 7200}}$

⠀⠀⠀⠀

$\sf: \implies{\bold{ x = 324000}}$

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{ Total\: men = 324000}}}}$

⠀⠀⠀⠀

No. of women

⠀⠀⠀⠀

$\sf: \implies{\bold{ 30\% of 720000 }}$

⠀⠀⠀⠀

$\sf: \implies{\bold{ \dfrac{30}{100} \times 720000}}$

⠀⠀

$\sf: \implies{\bold{ 30 \times 7200}}$

⠀⠀⠀⠀

$\sf: \implies{\bold{ x = 216000}}$

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{ Total\: women = 216000}}}}$

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

Total number of children in the town are 720000
No. of women = 216000
No. of men = 324000

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Add an Answer

evaluate 529213please help me

evaluate using suitable property and mention the property used28542846

evaluate using suitable property and mention the property used953f5926e7560c2ff9f67648916f60e4 45787

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