At a concert,
18 of the tickets were sold at full price,
35 of the tickets sold at 10% discount, and the remaining 1100 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 |
10% discount |
Free |
Number |
5 u |
24 u |
11 u |
Value |
$100 |
$90 |
$0 |
Total value |
500 u |
2160 u |
0 u |
Fraction of the tickets given free
= 1 -
18 -
35= 1 -
540 -
2440 =
1140 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 100
=
90100 x 100
= $90
Number of tickets given for free = 11 u
11 u = 1100
1 u = 1100 ÷ 11 = 100
Total amount collected from the sales of the ticket
= 500 u + 2160 u
= 2660 u
= 2660 x 100
= $266000
Answer(s): $266000