How many of each?

Question

Our school production was a big success. 536 tickets were sold. Students paid $4 each while nonstudents paid $6 each. If a total of $2440 was collected, how many students and how many non-students attended

the number of students was_?

the number of non students was_?

 

Answer 1

Let x = the number of student tickets

Let y = the number of non-student tickets

x + y = 536      y = 536 - x

4x + 6y = 2440

4x + 6(536 - x) = 2440

4x + 3216 - 6x = 2440

-2x = -774

x = 388

y = 536 - 388 = 148