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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?
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## QuestionMathsClass 8

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?

$$48$$
4.6
4.6

## Solution

Ratio of boys and girls in a class are is $$7:5$$.
Let the number of boys be $$7x$$ and girls be $$5x$$.
According to the question,
$$7x=5x+8$$
Shifting $$5x$$ to L.H.S.:
$$\Rightarrow 7x -5x=8$$
$$\Rightarrow 2x=8$$
Dividing by $$2$$ on both sides:
$$\Rightarrow x =\dfrac{8}{2}$$
$$\Rightarrow x=4$$
$$\therefore$$,Number of boys $$=\ 7x\ =\ 7 \times 4\ =\ 28$$
And, Number of girls $$=\ 5x\ =\ 5 \times 4\ =\ 20$$
Total number of students $$=\ 20+28\ =\ 48$$