The number of boys in a class is 6 more then the number of girls. the ratio of the number of boys to the number of girls is 5/3. how many students are there in the class?

The number of boys - x,
the numder of girls. - y ⇒
x-y=6      x-y=6         (5/3)*y-y=6    (2/3)*y=6    y=9
x/y=5/3   x=(5/3)*y    x=(5/3)*y       x=(5/3)*y    x=15   x+y=15+9=24.
There are 24 students in the class.