Given:
The ratio of number of girls and boys in a class of 30 students is 7:8
To Find:
The ratio of number of girls and boys if 5 new boys admit in the class.
Assumption:
Let the number of students be x.
Solution:
According to the question,
7x + 8x = 30
or, 15x = 30
or, x =

or, x = 2
7x = 7(2) = 14
8x = 8(2) = 16
There were 14 boys and 16 girls in the school.
After admitting 5 new boys, we get
14 + 5 = 19
The ratio of number of girls and boys now is 16:19.
Answer:
16:19