Question

the number of boys and girls in a 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

Answer:

Answer=48.

Step-by-step explanation:

Let the number of boys be 7x and that of girls be 5x.

According to the given condition, we have

Number of boys = Number of girls +8

⇒7x=5x+8

⇒7x−5x=8 ....[Transposing 5x to LHS]

⇒2x=8

⇒x=8/2=4

Therefore, number of boys =7×4=28 and number of girls =5×4=20

So, total number of children in the class =28+20=48.

Hence, the class strength is 48.

Answer 2

Step-by-step explanation:

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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

$\implies \sf \: Total \: class \: strength = 20 + 28 \\ \\ \implies {\underline {\bold {\boxed {\blue {\sf{Total \: class\: strength \: = 48}}}}}}</p><p>∴ Total Strength of the class is 48</p><p>$

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