Question

the ratio of boys to girls in the school is 3:2. There are 250 students in the school

Answer 1

$\bf \underline{ \underline{\maltese\:Given} }$

$\sf\Rrightarrow The \: ratio \: of \: boys \: to \: girls \: in \: the \: school \: is \: 3:2$

$\sf\Rrightarrow Total \: students \: in \: the \: school = 250$

$\bf \underline{ \underline{\maltese\:To \: find } }$

$\sf\implies Total \: number \: of \: boys = \: ?$

$\sf\implies Total \: number \: of \: girls = \: ?$

$\bf \underline{ \underline{\maltese\:Solution } }$

$\sf Let \: us \: assume \: that,$

$\sf \implies Total \: number \: of \: boys \: be \: 3x$

$\sf \implies Total \: number \: of \: girls \: be \: 2x$

$\sf According \: to \:question,$

$\sf \implies 3x + 2x = 250$

$\sf \implies 5x = 250$

$\sf \implies x = \cancel \dfrac{250}{5}$

$\sf \implies x = 50$

$\bf \underline{Now},$

$\sf \implies Total \: number \: of \: boys \: (3x) = \bf 3 \times 50 = 150$

$\sf \implies Total \: number \: of \: girls \: (2x) = \bf 2 \times 50 = 100$

$\underline{ \boxed{ \red{\bf Hence, \: there \: are \: 150 \:boys\:and \: 100 \: girls. }}}$

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$\bf \underline{ \underline{\maltese\: Varification } }$

To verify the answer just add total number of boys and total number of girls. If the sum is equal to 250, then it means the answer is correct.

$\sf \implies 150 + 100= 250$

$\sf \implies 250= 250$

LHS and RHS are equal.

$\bold{\longrightarrow} \: \large{\tt \red{ Hence\: Verified \:!}}$

Answer 2

$\huge\boxed{\fcolorbox{white}{gray}{Answer:⇢}}$

⠀⠀⠀

To Find :-

• Total No. of boys :- ?

• Total No. of Girls :- ?

⠀⠀⠀

Given :-

• Ratio of boys to girls in the school is 3:2.

• 250 students in the school

⠀⠀⠀

Solution :-

Let us assume That.,

• Total No. of boys be 3x

• Total No. of Girls be 2x

⠀⠀⠀

Hence.,

➜ 3x + 2x = 250

➜ 5x = 250

➜ x = 250/5

➜ x = 50

⠀⠀⠀

Therefore..,

• Total No. of boys 3x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀➜ 3 × 50

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀➜ 150 Boys

• Total No. of girls 2x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀➜ 2 × 50

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀➜ 100 Girls

⠀⠀⠀

∴ 150 Boys Nd 100 Girls Are In ⠀⠀School.

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