At a concert,
16 of the tickets were sold at full price,
19 of the tickets sold at 20% discount, and the remaining 1040 tickets were given away for free. Each ticket was sold at $100. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
3 u |
2 u |
13 u |
Value |
$100 |
$80 |
$0 |
Total value |
300 u |
160 u |
0 u |
Fraction of the tickets given free
= 1 -
16 -
19= 1 -
318 -
218 =
1318 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 100
=
80100 x 100
= $80
Number of tickets given for free = 13 u
13 u = 1040
1 u = 1040 ÷ 13 = 80
Total amount collected from the sales of the ticket
= 300 u + 160 u
= 460 u
= 460 x 80
= $36800
Answer(s): $36800