Question

The nunber of boys and girls in a class are in the ratio 7:5. the nunber of boys is 8 more than the number of girls. what is the total class strength?

Answer 1

Answer:

48

Step-by-step explanation:

7x : 5x be the ratios

7x = 5x+ 8

7x-5x = 8

2x=8

x=4

boys = 7x = 7×4 = 28

girls = 5x = 5 ×4 =20

total students = 20 + 28 = 48

Answer 2

       $\bold{Answer:}$

       $48$

       $\bold{Step-by-step}$  $\bold{explaination:}$

       $\text{The given ratio of the number of boys and girls in a class } = 7:5$

       $\text{Let the common factor of the ratio be }x$

$\implies\text{The number of boys in the class }= 7x$

$\implies \text{The number of girls in the class = 5x}$

       $\text{The question also states that: the number of boys is 8 more than} \\\text{the number of girls}$

$\implies 7x = 5x + 8$

$\implies 7x-5x = 8$

$\implies 2x = 8$

$\implies x = 4$

$\implies \text{The number of boys in the class} = 7x = 7(4) = 28$

       $\text{The number of girls in the class }= 5x = 5(4) = 20$

    $\therefore \text{The total class strength}= 28 + 20 = 48$