Answer
The number of students was 213
The number of non-students was 166
Step-by-step explanation
Let the number of students that bought tickets be x
Let the number of non-students that bought tickets be y
Total number of tickets sold = 379
x + y = 379
Price of one student ticket = 2.50 dollars
Price of x student tickets = (2.50x) dollars
Price of one non-student ticket = 4.50 dollars
Price of y non-student tickets = (4.50y) dollars
Total amount made from the ticket sales = 1279.50 dollars
2.50x + 4.50y = 1279.50
We can write the two equations together
x + y = 379
2.50x + 4.50y = 1279.50
Solving this system of equations, we obtain that
x = 213 students
y = 166 non-students
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