At a concert,
49 of the tickets were sold at full price,
13 of the tickets sold at 40% discount, and the remaining 160 tickets were given away for free. Each ticket was sold at $85. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
4 u |
3 u |
2 u |
Value |
$85 |
$51 |
$0 |
Total value |
340 u |
153 u |
0 u |
Fraction of the tickets given free
= 1 -
49 -
13= 1 -
49 -
39 =
29 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 85
=
60100 x 85
= $51
Number of tickets given for free = 2 u
2 u = 160
1 u = 160 ÷ 2 = 80
Total amount collected from the sales of the ticket
= 340 u + 153 u
= 493 u
= 493 x 80
= $39440
Answer(s): $39440