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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?

Q.10 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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Let us assume the number of boys and the number of girls is 7x and 5x. 

According to the given data in the question,

        7x = 5x + 8

Transposing 5x to the LHS we get,

     7x - 5x = 8 

       2x = 8

Dividing both sides by 2 

     x = 4

Hence number of boys = 7\times4 = 28

    and number of girls = 5\times4 = 20

So total number of students = 28 + 20 = 48.

 

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