Question

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 1

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