Question

The number of boys and girls in a class are in the ratio 5:3. The number of boys is 8 more than the number of girls. What is the total class strength?

Answer 1

Step-by-step explanation:

$No \: \: of \: \: Boys : No \: \: of \: \: Girls\\ 5 : 3 \\ 5x : 3x \\ \\ According \: \: to \: \: the \: \: Question,\\ No \: \: of \: \: Boys \: \: is \: \: 8 \: \: more \: \: than \: \: No \: \: of \: \: Girls \\ That \: \: means, \\ 3x + 8 = 5x \\ 8 = 5x - 3x \\ 8 = 2x \\ \frac{8}{2} = x \\ \boxed{\underline{ \underline{4}} = x} \\ \\ No \: \: of \: \: Girls ⟹ 3x ⟹ 3 \times 4 ⟹ 12 \\ No \: \: of \: \: Boys⟹5x⟹5 \times 4 ⟹20 \\ 20 - 12 = 8 \\ \\ Total \: \: Class \: \: Strength \\ ⟹No \: \: of \: \: Boys + No \: \: of \: \: Girls \\ ⟹20 + 12 \\ ⟹ \large{ \boxed{ \underline{ \underline{32}}}} \\ \\ No \: \: of \: \: Boys : No \: \: of \: \: Girls \\ 20 : 12 \\ 5 : 3$