10 lessons
you can do it by creating a chart or algebraically
like below
for the members we have
60 (flat fee) + 5 * x (where x represents the number of lessons)
for nonmembers is simple lessons= 11 * x (x represents the number of lessons)
we will set both of these equations equal
60 + 5 * x = 11 * x , we will simplify and get 5x+60=11x
60= 11x-5x , so 60= 6x , x=10
after 10 lessons
x