At a concert,
18 of the tickets were sold at full price,
14 of the tickets sold at 20% discount, and the remaining 250 tickets were given away for free. Each ticket was sold at $40. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
1 u |
2 u |
5 u |
Value |
$40 |
$32 |
$0 |
Total value |
40 u |
64 u |
0 u |
Fraction of the tickets given free
= 1 -
18 -
14= 1 -
18 -
28 =
58 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 40
=
80100 x 40
= $32
Number of tickets given for free = 5 u
5 u = 250
1 u = 250 ÷ 5 = 50
Total amount collected from the sales of the ticket
= 40 u + 64 u
= 104 u
= 104 x 50
= $5200
Answer(s): $5200