Question

The ratio of girls to boys in a school is 7 : 11 . If there are 2592 students, find the number of boys in the school.​

Answer 1

Step-by-step explanation:

let boys and girls let x

7x + 11x = 2592

18x = 2592

x = 2592

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18

,

Answer 2

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

$\sf \Rrightarrow The \: ratio \: of \: girls \: to \: boys \: in \: a \: school \: is \: 7 : 11$

$\sf \Rrightarrow Total \: number \: of \: students = 2592$

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

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

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

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

$\sf \implies Total \: number \: of \: girls\: be \: 7x$

$\sf \implies Total \: number \: of \: boys\: be \: 11x$

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

$\sf \implies 7x + 11x = 2592$

$\sf \implies 18x = 2592$

$\sf \implies x = \cancel \dfrac{2592}{18}$

$\sf \implies x = 144$

$\bf \underline{Therefore},$

$\sf \implies \sf Total \: number \: of \: boys\: ( 11x) = \bf 11 \times 144 = 1584$

$\sf \implies \sf Total \: number \: of \: boys\: (7x) = \bf 7\times 144 =1008$

$\underline{ \boxed{ \red{\bf Hence, \: there \: are \: 1584 \:boys\:and \: 1008 \: girls. }}}$

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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 2592, then it means the answer is correct.

$\sf \implies 1584 + 1008 = 2592$

$\sf \implies 2592 = 2592$

LHS and RHS are equal.

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