At a concert,
14 of the tickets were sold at full price,
17 of the tickets sold at 20% discount, and the remaining 1530 tickets were given away for free. Each ticket was sold at $70. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
7 u |
4 u |
17 u |
Value |
$70 |
$56 |
$0 |
Total value |
490 u |
224 u |
0 u |
Fraction of the tickets given free
= 1 -
14 -
17= 1 -
728 -
428 =
1728 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 70
=
80100 x 70
= $56
Number of tickets given for free = 17 u
17 u = 1530
1 u = 1530 ÷ 17 = 90
Total amount collected from the sales of the ticket
= 490 u + 224 u
= 714 u
= 714 x 90
= $64260
Answer(s): $64260