At a concert,
38 of the tickets were sold at full price,
16 of the tickets sold at 20% discount, and the remaining 990 tickets were given away for free. Each ticket was sold at $15. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
9 u |
4 u |
11 u |
Value |
$15 |
$12 |
$0 |
Total value |
135 u |
48 u |
0 u |
Fraction of the tickets given free
= 1 -
38 -
16= 1 -
924 -
424 =
1124 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 15
=
80100 x 15
= $12
Number of tickets given for free = 11 u
11 u = 990
1 u = 990 ÷ 11 = 90
Total amount collected from the sales of the ticket
= 135 u + 48 u
= 183 u
= 183 x 90
= $16470
Answer(s): $16470