At a concert,
715 of the tickets were sold at full price,
25 of the tickets sold at 20% discount, and the remaining 180 tickets were given away for free. Each ticket was sold at $85. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
7 u |
6 u |
2 u |
Value |
$85 |
$68 |
$0 |
Total value |
595 u |
408 u |
0 u |
Fraction of the tickets given free
= 1 -
715 -
25= 1 -
715 -
615 =
215 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 85
=
80100 x 85
= $68
Number of tickets given for free = 2 u
2 u = 180
1 u = 180 ÷ 2 = 90
Total amount collected from the sales of the ticket
= 595 u + 408 u
= 1003 u
= 1003 x 90
= $90270
Answer(s): $90270