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Question
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?
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
`(2x)/2 = 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.
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