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

Answer 1

Answer:

let the no. of boys and girls be 7x and 5x.

5x+8=7x

8=7x-5x

8=2x

x=8/2=4

5x=5×4=20

7x=7×4=28

total strength of class= 20+28

= 48

Answer 2

Let the number of boys be 7x and girls be 5x.

According to the question,

7x = 5x + 8

⇒ 7x – 5x = 8

⇒ 2x = 8

⇒ x = 8/2

⇒ x = 4

Therefore, Number of boys = 7×4 = 28

And, Number of girls = 5×4 = 20

Total number of students = 20+28 = 48