SOLUTION: A class sold tickets for a dance. Student tickets cost $2 and faculty tickets cost $2.50. A total of $450 was collected and 216 tickets were sold. How many faculty tickets were sol

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A class sold tickets for a dance. Student tickets cost $2 and faculty tickets cost $2.50. A total of $450 was collected and 216 tickets were sold. How many faculty tickets were sol      Log On


   



Question 896021: A class sold tickets for a dance. Student tickets cost $2 and faculty tickets cost $2.50. A total of $450 was collected and 216 tickets were sold. How many faculty tickets were sold?
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
If all 216 tickets sold were faculty tickets, the revenue would be 216 * 2.5, or $540
The actual revenue collected was $450. The difference between $540 and $450 is $90.
The difference between the student and faculty tickets are $2.50-$2, or .50
$90.00 / .50 = 180 student tickets sold
That leaves 216-180, or 36 as faculty tickets.


180 student tickets at $2 = $360
36 faculty tickets at $2.50 = $90
$360 + $90 = $450