Math, asked by drchodhary151, 5 months ago

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​

Answers

Answered by Anonymous
5

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}}

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