At a concert,
15 of the tickets were sold at full price,
23 of the tickets sold at 10% discount, and the remaining 140 tickets were given away for free. Each ticket was sold at $20. What was the total amount collected from the sale of tickets?
|
Full price |
10% discount |
Free |
Number |
3 u |
10 u |
2 u |
Value |
$20 |
$18 |
$0 |
Total value |
60 u |
180 u |
0 u |
Fraction of the tickets given free
= 1 -
15 -
23= 1 -
315 -
1015 =
215 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 20
=
90100 x 20
= $18
Number of tickets given for free = 2 u
2 u = 140
1 u = 140 ÷ 2 = 70
Total amount collected from the sales of the ticket
= 60 u + 180 u
= 240 u
= 240 x 70
= $16800
Answer(s): $16800