Question

the number of boys and girls in class are in the ratio 7:5 the number of boys is 8 more than the number of girls , what is the total class strength​

Answer 1

Step-by-step explanation:

$]\huge\orange{\mid{\fbox{\tt{Answer}}\mid}} \\ </p><p>GIVEN :-$

Ratio of number of boys to number of girls is 7:5

Number of boys is 8 more than Number of girls

TO FIND :-

Total strength of the class

SOLUTION :-

Let

Number of boys be 7x

Number of girls be 5x

We are given,

Number of boys is 8 more than Number of girls

$\implies \sf \: 7x = 5x + 8 \\ \\ \implies \sf \: 7x - 5x = 8 \\ \\ \implies \sf \: 2x = 8 \\ \\ \implies \sf \: x = \frac{8}{2} \\ \\ \implies {\underline {\bold {\boxed {\pink {\sf{x = 4}}}}}}$

Then ,

$\sf \: Number \: of \: boys \: = 7x = 7(4) = 28 \\ \\ \sf Number \: of \: girls = 5x = 5(4) = 20$

Total class strength = Number of girls + Number of boys

$\implies \sf \: Total \: class \: strength = 20 + 28 \\ \\ \implies {\underline {\bold {\boxed {\blue {\sf{Total \: class\: strength \: = 48}}}}}}$

∴ Total Strength of the class is 48

$]\huge\orange{\mid{\fbox{\tt{Thanks}}\mid}}$