At a concert,
13 of the tickets were sold at full price,
27 of the tickets sold at 40% discount, and the remaining 160 tickets were given away for free. Each ticket was sold at $75. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
7 u |
6 u |
8 u |
Value |
$75 |
$45 |
$0 |
Total value |
525 u |
270 u |
0 u |
Fraction of the tickets given free
= 1 -
13 -
27= 1 -
721 -
621 =
821 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 75
=
60100 x 75
= $45
Number of tickets given for free = 8 u
8 u = 160
1 u = 160 ÷ 8 = 20
Total amount collected from the sales of the ticket
= 525 u + 270 u
= 795 u
= 795 x 20
= $15900
Answer(s): $15900