Answer: There are 37 students in the drama club and 27 students in the drama club.
Explanation:
Let x= number of students in the drama club.
y= number of students in the yearbook club.
As per given, we have
x+y=64
x=10+y
A system of linear equations that represents this situation:
x+y=64 (i)
x=10+y (ii)
Put value of x from (ii) in (i)
10+y+y=64
⇒ 2y= 54
⇒ y = 27 [Divide both sides by 2]
Put value of y in (ii) , we get
x= 10+27 = 37
Hence, there are 37 students in the drama club and 27 students in the drama club.