At a concert,
16 of the tickets were sold at full price,
29 of the tickets sold at 30% discount, and the remaining 440 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 |
30% discount |
Free |
Number |
3 u |
4 u |
11 u |
Value |
$70 |
$49 |
$0 |
Total value |
210 u |
196 u |
0 u |
Fraction of the tickets given free
= 1 -
16 -
29= 1 -
318 -
418 =
1118 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 70
=
70100 x 70
= $49
Number of tickets given for free = 11 u
11 u = 440
1 u = 440 ÷ 11 = 40
Total amount collected from the sales of the ticket
= 210 u + 196 u
= 406 u
= 406 x 40
= $16240
Answer(s): $16240