At a concert,
710 of the tickets were sold at full price,
16 of the tickets sold at 30% discount, and the remaining 360 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 |
30% discount |
Free |
Number |
21 u |
5 u |
4 u |
Value |
$40 |
$28 |
$0 |
Total value |
840 u |
140 u |
0 u |
Fraction of the tickets given free
= 1 -
710 -
16= 1 -
2130 -
530 =
430 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 40
=
70100 x 40
= $28
Number of tickets given for free = 4 u
4 u = 360
1 u = 360 ÷ 4 = 90
Total amount collected from the sales of the ticket
= 840 u + 140 u
= 980 u
= 980 x 90
= $88200
Answer(s): $88200