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. a. Write a system of linear equations that represents this situation. Let x x represent the number of students in the drama club and y y represent the number of students in the yearbook club. System of equations: x= x= x+ x+ y=64 y=64 Question 2 b. How many students are in the drama club? the yearbook club? There are students in the drama club. There are students in the yearbook club.

Answer 1

d+y=64
d=y+10

d+1(d-10)=64
d+d-10=64
2d-10=64

2d=54
__ __
2 2

d=27 members

y=27+10
y=37 members

Answer 2

d+y=64

d=y+10

d+1(d-10)=64

d+d-10=64

2d-10=64

2d=54

__ __

2 2

d=27 members

y=27+10

y=37 members

Explanation: