At a concert,
712 of the tickets were sold at full price,
16 of the tickets sold at 10% discount, and the remaining 120 tickets were given away for free. Each ticket was sold at $60. What was the total amount collected from the sale of tickets?
|
Full price |
10% discount |
Free |
Number |
7 u |
2 u |
3 u |
Value |
$60 |
$54 |
$0 |
Total value |
420 u |
108 u |
0 u |
Fraction of the tickets given free
= 1 -
712 -
16= 1 -
712 -
212 =
312 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 60
=
90100 x 60
= $54
Number of tickets given for free = 3 u
3 u = 120
1 u = 120 ÷ 3 = 40
Total amount collected from the sales of the ticket
= 420 u + 108 u
= 528 u
= 528 x 40
= $21120
Answer(s): $21120