For opening night, 405 tickets were sold. Students paid $4.00 each, while non-students paid $6.00. If a total of $2002.00, how many non-students attended?

Question

Math word problem

Answer 1

s + n = 405

4s + 6n = 2002

 

Since we are looking for n, we are going to solve the first equation for the other variable, s.

 

s = 405 - n

 

Now, since s and 405 - n are equal, they are interchangeable.

 

4(405 - n) + 6n = 2002

1620 - 4n + 6n = 2002

2n = 382

n = 191 non-students