At a concert,
12 of the tickets were sold at full price,
16 of the tickets sold at 20% discount, and the remaining 160 tickets were given away for free. Each ticket was sold at $50. What was the total amount collected from the sale of tickets?
| |
Full price |
20% discount |
Free |
| Number |
3 u |
1 u |
2 u |
| Value |
$50 |
$40 |
$0 |
| Total value |
150 u |
40 u |
0 u |
Fraction of the tickets given free
= 1 -
12 -
16= 1 -
36 -
16 =
26 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 50
=
80100 x 50
= $40
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
= 150 u + 40 u
= 190 u
= 190 x 80
= $15200
Answer(s): $15200
