Question

Item 8 Question 1 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 xx represent the number of students in the drama club and yy represent the number of students in the yearbook club. System of equations: x=x= y+10 x+x+ y=64

Answer 1

Given:
64 total students
x = drama club students
y = yearbook club students

x = y + 10
y = 64 - x

y = 64 - x
y = 64 - (y + 10)
y = 64 - y - 10
y + y = 64 - 10
2y = 54
2y/2 = 54/2
y = 27

x = y + 10
x = 27 + 10
x = 37

To check:

x + y = 64
37 + 27 = 64
64 = 64