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?
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 = 74 = 28
and number of girls = 54 = 20
So total number of students = 28 + 20 = 48.