There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club. How many students are in the drama club? The yearbook club?

There are 37 students in the drama club and 27 students in the drama club.

Step-by-step 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.

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