At a concert,
12 of the tickets were sold at full price,
27 of the tickets sold at 20% discount, and the remaining 300 tickets were given away for free. Each ticket was sold at $20. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
7 u |
4 u |
3 u |
Value |
$20 |
$16 |
$0 |
Total value |
140 u |
64 u |
0 u |
Fraction of the tickets given free
= 1 -
12 -
27= 1 -
714 -
414 =
314 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 20
=
80100 x 20
= $16
Number of tickets given for free = 3 u
3 u = 300
1 u = 300 ÷ 3 = 100
Total amount collected from the sales of the ticket
= 140 u + 64 u
= 204 u
= 204 x 100
= $20400
Answer(s): $20400