At a concert,
118 of the tickets were sold at full price,
23 of the tickets sold at 30% discount, and the remaining 50 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 |
1 u |
12 u |
5 u |
Value |
$70 |
$49 |
$0 |
Total value |
70 u |
588 u |
0 u |
Fraction of the tickets given free
= 1 -
118 -
23= 1 -
118 -
1218 =
518 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 = 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Total amount collected from the sales of the ticket
= 70 u + 588 u
= 658 u
= 658 x 10
= $6580
Answer(s): $6580