Problema Solution

the school production of our town was a big success. For opening night, 368 tickets were sold. Students paid 1.50 each, non students paid 3.50 each. If a total of 806 was collected, how many students and how many non students attended?

Answer provided by our tutors

let 'x' represent the number of students in attendance, then '368-x' represents the number of non-students in attendance


806 = 1.5x + 3.5(368-x)

solving for 'x' we have x=241


368-241 = 127


there were 241 students attending and 127 non-students