Question

The number of boys and girls in a class are in rha ratio 7:5 .tha number of boys is 8 more then the number of girls what is the total class strangth

Answer 1

$\mathfrak{\huge{Answer:}}$

$\mathbb{GIVEN}$

Ratio of the number of girls and boys = 7:5

Number of boys is 8 more than the number of girls

$\mathbb{TO\:FIND}$

The Total class strength

$\mathbb{METHOD}$

Let the number of girls = x

Number of boys = x + 8

The ratio of boys and girls = 7:5

=》 7 : 5 = x + 8 : x

Solve this formed equation further

=》 $\tt{\frac{7}{5} = \frac{x + 8}{x}}$

Solve this formed equation further

=》 7x = 5 ( x + 8 )

Some more steps to go

=》 7x = 5x + 40

Last one step to go

=》 2x = 40

The value of x is

=》 x = 20

Thus, boys = x + 8 = 28

20 + 28 = 48

The answer will be $\huge{\sf{48\:students}}$

Answer 2

$\bf\huge\textbf{\underline{\underline{According\:to\:the\:Question}}}$  

Suppose the no. of girls be 5p

Suppose the no. of boys = 7p

According to the given condition

5p + 8 = 7p

7p - 5p = 8

2p = 8  

$\bf\huge{\implies p = \dfrac{8}{2}}$        

p = 4

No. of girls

⇒ 5 × 4 = 20

No. of boys

⇒ 7 × 4 = 28

Strength of the class ⇒ 20 + 28 = 48