Answer:
Part A)
Part B)
There are 37 students in the drama club.
And there are 27 students in the yearbook club.
Step-by-step explanation:
We know that there are 64 students in total in a drama and yearbook club.
The drama club has 10 more students than the yearbook club.
We will let x represent the number of students in the drama club and y represent the number of students in the yearbook club.
Part A)
Since the drama club (x) has 10 <em>more </em>students than however many the yearbook club (y) has, we can write:
And since there are in total 64 students, x plus y must equal that sum. So:
Part B)
We can substitute the first equation into the second:
Combine like terms:
Subtracting 10 from both sides:
Dividing by 2:
So, the amount of students in y or the yearbook club is 27 students.
Since the drama club has 10 more, there are 37 students in the drama club.