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

Question

A. write a system of linear equations that represent the equation

 

B. How many students in the drama club? the yearbook club?

Answer 1

Let d = number Of drama club members

let y = number of yearbook club members

now you can write two equations, one for the total number of students, and one for the difference between them.

d + y =64

d - y = 10

 

to solve for d, add these two lines together (so as to remove the y’s)

2d + 0y = 74

d = 37

now substitute back into one of the formulas

d+y=64

37+y=64

subtract 37 from each side,

y = 27