At a concert,
110 of the tickets were sold at full price,
23 of the tickets sold at 20% discount, and the remaining 210 tickets were given away for free. Each ticket was sold at $75. What was the total amount collected from the sale of tickets?
| |
Full price |
20% discount |
Free |
| Number |
3 u |
20 u |
7 u |
| Value |
$75 |
$60 |
$0 |
| Total value |
225 u |
1200 u |
0 u |
Fraction of the tickets given free
= 1 -
110 -
23= 1 -
330 -
2030 =
730 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 75
=
80100 x 75
= $60
Number of tickets given for free = 7 u
7 u = 210
1 u = 210 ÷ 7 = 30
Total amount collected from the sales of the ticket
= 225 u + 1200 u
= 1425 u
= 1425 x 30
= $42750
Answer(s): $42750
