At a concert,
13 of the tickets were sold at full price,
310 of the tickets sold at 30% discount, and the remaining 990 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 |
10 u |
9 u |
11 u |
| Value |
$70 |
$49 |
$0 |
| Total value |
700 u |
441 u |
0 u |
Fraction of the tickets given free
= 1 -
13 -
310= 1 -
1030 -
930 =
1130 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 = 990
1 u = 990 ÷ 11 = 90
Total amount collected from the sales of the ticket
= 700 u + 441 u
= 1141 u
= 1141 x 90
= $102690
Answer(s): $102690
