At a concert,
23 of the tickets were sold at full price,
19 of the tickets sold at 30% discount, and the remaining 100 tickets were given away for free. Each ticket was sold at $10. What was the total amount collected from the sale of tickets?
|
Full price |
30% discount |
Free |
Number |
6 u |
1 u |
2 u |
Value |
$10 |
$7 |
$0 |
Total value |
60 u |
7 u |
0 u |
Fraction of the tickets given free
= 1 -
23 -
19= 1 -
69 -
19 =
29 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 10
=
70100 x 10
= $7
Number of tickets given for free = 2 u
2 u = 100
1 u = 100 ÷ 2 = 50
Total amount collected from the sales of the ticket
= 60 u + 7 u
= 67 u
= 67 x 50
= $3350
Answer(s): $3350