There a total of 94 students in a drama club and a yearbook club. the drama club has 10 more students than the yearbook club. how many students are in the drama club? the yearbook club?

Let d and y represent the numbers of students in the drama and yearbook clubs, respectively. The problem statement gives rise to two equations:
  d +y = 94
  d -y = 10

Adding these two equations we find
  2d = 104
  d = 52
Then
  y = d -10 = 42

There are 52 students in the drama club.
There are 42 students in the yearbook club.

D = amount of drama club students.

y = amount of yearbook students

we know their total is 94, thus d + y = 94.

but we also know that whatever "y" is, "d" is 10 more than that, d = y + 10.



how many are there in the drama club?  well, d = y + 10.

The answer is