At a concert,
25 of the tickets were sold at full price,
310 of the tickets sold at 10% discount, and the remaining 30 tickets were given away for free. Each ticket was sold at $30. What was the total amount collected from the sale of tickets?
|
Full price |
10% discount |
Free |
Number |
4 u |
3 u |
3 u |
Value |
$30 |
$27 |
$0 |
Total value |
120 u |
81 u |
0 u |
Fraction of the tickets given free
= 1 -
25 -
310= 1 -
410 -
310 =
310 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 30
=
90100 x 30
= $27
Number of tickets given for free = 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Total amount collected from the sales of the ticket
= 120 u + 81 u
= 201 u
= 201 x 10
= $2010
Answer(s): $2010