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Question

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

Ratio in boys and girls in a class = 7 : 5

Let no. of boys = 7x

Then no. of girls = 5x

7x - 5x = 8 2x = 8

 x=82=4

Total strength = 7x + 5x = 12x

= 12 × 4 = 48

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