At a concert,
316 of the tickets were sold at full price,
14 of the tickets sold at 10% discount, and the remaining 90 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 |
3 u |
4 u |
9 u |
Value |
$30 |
$27 |
$0 |
Total value |
90 u |
108 u |
0 u |
Fraction of the tickets given free
= 1 -
316 -
14= 1 -
316 -
416 =
916 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 = 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
Total amount collected from the sales of the ticket
= 90 u + 108 u
= 198 u
= 198 x 10
= $1980
Answer(s): $1980