At a concert,
14 of the tickets were sold at full price,
13 of the tickets sold at 20% discount, and the remaining 50 tickets were given away for free. Each ticket was sold at $55. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
3 u |
4 u |
5 u |
Value |
$55 |
$44 |
$0 |
Total value |
165 u |
176 u |
0 u |
Fraction of the tickets given free
= 1 -
14 -
13= 1 -
312 -
412 =
512 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 55
=
80100 x 55
= $44
Number of tickets given for free = 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Total amount collected from the sales of the ticket
= 165 u + 176 u
= 341 u
= 341 x 10
= $3410
Answer(s): $3410