At a concert,
38 of the tickets were sold at full price,
25 of the tickets sold at 40% discount, and the remaining 180 tickets were given away for free. Each ticket was sold at $30. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
15 u |
16 u |
9 u |
Value |
$30 |
$18 |
$0 |
Total value |
450 u |
288 u |
0 u |
Fraction of the tickets given free
= 1 -
38 -
25= 1 -
1540 -
1640 =
940 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 30
=
60100 x 30
= $18
Number of tickets given for free = 9 u
9 u = 180
1 u = 180 ÷ 9 = 20
Total amount collected from the sales of the ticket
= 450 u + 288 u
= 738 u
= 738 x 20
= $14760
Answer(s): $14760