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Question 418766: Tickets for a concert were priced at $3 for students and $5 for nonstudents. There were 1500 tickets sold for a total of $5000. How much revenue was generated from the sale of the student tickets?
Answer by duckness73(47)   (Show Source):
You can put this solution on YOUR website! Let x = # student tickets sold
Let y = # non-student tickets sold
Therefore, x + y = 1500 which is the total number of tickets sold
If x = #student tickets sold, then 3x = revenue from student tickets
If y = #non-student tickets sold, then 5y = revenue from non-student tickets
Therefore 3x + 5y = 5000 which is the total revenue from all tickets
From the first equation: x = 1500 - y
Therefore:
3(1500 - y) + 5y = 5000
4500 - 3y + 5y = 5000
4500 + 2y = 5000
2y = 500
y = 250 which is the number of non-student tickets
Therefore x + 250 = 1500
x = 1250 which is the number of student tickets
and 3x = 3 * 1250 = $3750 is the total revenue from student tickets
Answer: $3750
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