At a concert,
38 of the tickets were sold at full price,
14 of the tickets sold at 40% discount, and the remaining 150 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 |
40% discount |
Free |
Number |
3 u |
2 u |
3 u |
Value |
$25 |
$15 |
$0 |
Total value |
75 u |
30 u |
0 u |
Fraction of the tickets given free
= 1 -
38 -
14= 1 -
38 -
28 =
38 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 25
=
60100 x 25
= $15
Number of tickets given for free = 3 u
3 u = 150
1 u = 150 ÷ 3 = 50
Total amount collected from the sales of the ticket
= 75 u + 30 u
= 105 u
= 105 x 50
= $5250
Answer(s): $5250