Percentage Problem

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sakibtanvir
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Percentage Problem

Unread post by sakibtanvir » Wed Jan 25, 2012 12:21 pm

A math club has been opened recently in a school.25% girls and 60% boys joined in the club.After counting the members of the club,teachers found that,20% of members are girls.Now find out the percentage of students(including all boys and girls)joined the club?
It is a super easy problem for juniors. ;)
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Phlembac Adib Hasan
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Re: Percentage Problem

Unread post by Phlembac Adib Hasan » Wed Jan 25, 2012 1:52 pm

$\frac {375} {8}$%
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sakibtanvir
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Re: Percentage Problem

Unread post by sakibtanvir » Wed Jan 25, 2012 1:59 pm

Ur exactly correct :D
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nafistiham
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Re: Percentage Problem

Unread post by nafistiham » Wed Jan 25, 2012 3:37 pm

I think it goes like this
suppose the number of club member is $x$
the number of girls in the school is $y$
the number of boys in the school is $z$
so,\[\frac{x}{5}=\frac{y}{4}\Rightarrow y=\frac{4x}{5}\]

\[\frac{4x}{5}=\frac{3z}{5}\Rightarrow z=\frac{4x}{3}\]

\[\frac{x}{y+z}=\frac{x}{\frac{4x}{5}+\frac{4x}{3}}=\frac{15}{32}\]
which is $\frac {375}{8}$%
[I can't write % in $L^AT_EX$ :o ]
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