At a concert,
25 of the tickets were sold at full price,
310 of the tickets sold at 20% discount, and the remaining 180 tickets were given away for free. Each ticket was sold at $25. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
4 u |
3 u |
3 u |
Value |
$25 |
$20 |
$0 |
Total value |
100 u |
60 u |
0 u |
Fraction of the tickets given free
= 1 -
25 -
310= 1 -
410 -
310 =
310 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 25
=
80100 x 25
= $20
Number of tickets given for free = 3 u
3 u = 180
1 u = 180 ÷ 3 = 60
Total amount collected from the sales of the ticket
= 100 u + 60 u
= 160 u
= 160 x 60
= $9600
Answer(s): $9600