497 tickets were sold. Students paid ​$2.50 ​each, while​ non-students paid ​$4.50 each. If a total of $ 1450.50 was​ collected, how many students and how many​ non-students attended?

Question

How many non students attended

Answer 1

Let x = the number of students who attended

Let y = the number of non-students who attended

x + y = 497

x = 497 - y

2.50x + 4.50y = 1450.50

2.50(497 - y) + 4.50y = 1450.50

1242.50 - 2.50y + 4.50y = 1450.50

2y = 208

y = 104

x = 497 - y

x = 497 - 104

x = 393