In a class of 60 students, the number of students who passed biology is 6 more than the number who passed chemistry. Every student passed at least one of the two subjects and 8 students passed both subjects

Let the number of students who passed chemistry be x.

Then the number of students who passed biology is x + 6.

According to the given information:
Total number of students who passed at least one subject = x + (x + 6) - 8 = 60
2x + 6 - 8 = 60
2x - 2 = 60
2x = 62
x = 31

Therefore, the number of students who passed chemistry is 31, and the number of students who passed biology is 31 + 6 = 37.