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?

Asked by Aaryan | 1 year ago |  175

1 Answer

Solution :-

Let the common ratio between the number of boys and numbers of girls be x.

Number of boys = 7x

Number of girls = 5x

According to the given question,

Number of boys = Number of girls + 8

∴ 7x = 5x + 8

On transposing 5x to L.H.S, we obtain

7x - 5x = 8

2x = 8

On dividing both sides by 2, we obtain

\(\frac{2x}{2} = \frac{8}{2}\)

x = 4 Number of boys = 7x = 7 × 4 = 28

Number of girls = 5x = 5 × 4 = 20

Hence, total class strength = 28 + 20 = 48 students

Answered by Sakshi | 1 year ago

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