At a concert,
14 of the tickets were sold at full price,
49 of the tickets sold at 10% discount, and the remaining 990 tickets were given away for free. Each ticket was sold at $40. What was the total amount collected from the sale of tickets?
| |
Full price |
10% discount |
Free |
| Number |
9 u |
16 u |
11 u |
| Value |
$40 |
$36 |
$0 |
| Total value |
360 u |
576 u |
0 u |
Fraction of the tickets given free
= 1 -
14 -
49= 1 -
936 -
1636 =
1136 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 40
=
90100 x 40
= $36
Number of tickets given for free = 11 u
11 u = 990
1 u = 990 ÷ 11 = 90
Total amount collected from the sales of the ticket
= 360 u + 576 u
= 936 u
= 936 x 90
= $84240
Answer(s): $84240
