Tick (✓) the correct answer

Question:

Tick (✓) the correct answer:

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. The total class strength is

(a) 56

(b) 52

(c) 48

(d) 36

Solution:

(c) 48

Let the number of boys in the class be $\mathrm{x}$.

Then, the number of girls will be $(\mathrm{x}-8)$.

The equation becomes:

$\frac{x}{x-8}=\frac{7}{5}$

$\Rightarrow 5 x=7 x-56$

$\Rightarrow 5 x-7 x=-56$

$\Rightarrow-2 x=-56$

$\Rightarrow x=\frac{-56}{-2}=28$

Therefore, the number of boys is 28 .

Number of girls $=(\mathrm{x}-8)=28-8=20$

Total strength of the class $=28+20=48$

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