At a concert,
15 of the tickets were sold at full price,
18 of the tickets sold at 25% discount, and the remaining 1890 tickets were given away for free. Each ticket was sold at $32. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
8 u |
5 u |
27 u |
Value |
$32 |
$24 |
$0 |
Total value |
256 u |
120 u |
0 u |
Fraction of the tickets given free
= 1 -
15 -
18= 1 -
840 -
540 =
2740 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 32
=
75100 x 32
= $24
Number of tickets given for free = 27 u
27 u = 1890
1 u = 1890 ÷ 27 = 70
Total amount collected from the sales of the ticket
= 256 u + 120 u
= 376 u
= 376 x 70
= $26320
Answer(s): $26320