At a concert,
13 of the tickets were sold at full price,
47 of the tickets sold at 10% discount, and the remaining 20 tickets were given away for free. Each ticket was sold at $90. What was the total amount collected from the sale of tickets?
|
Full price |
10% discount |
Free |
Number |
7 u |
12 u |
2 u |
Value |
$90 |
$81 |
$0 |
Total value |
630 u |
972 u |
0 u |
Fraction of the tickets given free
= 1 -
13 -
47= 1 -
721 -
1221 =
221 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 90
=
90100 x 90
= $81
Number of tickets given for free = 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Total amount collected from the sales of the ticket
= 630 u + 972 u
= 1602 u
= 1602 x 10
= $16020
Answer(s): $16020