Question

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?

Answer 1

Answer: 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.

Answer 2

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?

74