At a concert,
12 of the tickets were sold at full price,
16 of the tickets sold at 30% discount, and the remaining 140 tickets were given away for free. Each ticket was sold at $70. What was the total amount collected from the sale of tickets?
|
Full price |
30% discount |
Free |
Number |
3 u |
1 u |
2 u |
Value |
$70 |
$49 |
$0 |
Total value |
210 u |
49 u |
0 u |
Fraction of the tickets given free
= 1 -
12 -
16= 1 -
36 -
16 =
26 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 70
=
70100 x 70
= $49
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
= 210 u + 49 u
= 259 u
= 259 x 70
= $18130
Answer(s): $18130