Algebra 2 word problem

Question

Tickets for a school play are $3 for students and $5 for non-students. On opening night 937 tickets are sold and $3943 is collected. How many tickets were sold to students? To non-students?

Answer 1

Let x = the number of students

 

and y=the number of non-students

 

x+y=937

 

3x+5y=3943

 

Multiply the first equation by -3 in which you get:

 

-3x-3y=-2811

3x+5y=3943

 

Add the two equations, you get

 

2y=1132 This implies y=566 non-students

 

Substitute y into the first equation:

 

x+566=937

  -566   -566

 

x=371 students

 

Therefore, there were 371 students and 566 non-students attended the school play.