At a concert,
34 of the tickets were sold at full price,
110 of the tickets sold at 10% discount, and the remaining 90 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 |
10% discount |
Free |
Number |
15 u |
2 u |
3 u |
Value |
$30 |
$27 |
$0 |
Total value |
450 u |
54 u |
0 u |
Fraction of the tickets given free
= 1 -
34 -
110= 1 -
1520 -
220 =
320 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 30
=
90100 x 30
= $27
Number of tickets given for free = 3 u
3 u = 90
1 u = 90 ÷ 3 = 30
Total amount collected from the sales of the ticket
= 450 u + 54 u
= 504 u
= 504 x 30
= $15120
Answer(s): $15120