There are 35 girls and 25 boys in the class.
Explanation
The ratio of girls to boys is 7 : 5
So, lets assume that the number of girls is [tex] 7x [/tex] and the number of boys is [tex] 5x [/tex]
Given that the total number of students in the class is 60. That means...
[tex] 7x+5x=60\\ \\ 12x=60\\ \\ x= \frac{60}{12}=5 [/tex]
So, the number of girls, [tex] 7x= 7(5)=35 [/tex]
and the number of boys, [tex] 5x= 5(5)=25 [/tex]