At a concert,
120 of the tickets were sold at full price,
58 of the tickets sold at 10% discount, and the remaining 910 tickets were given away for free. Each ticket was sold at $100. What was the total amount collected from the sale of tickets?
|
Full price |
10% discount |
Free |
Number |
2 u |
25 u |
13 u |
Value |
$100 |
$90 |
$0 |
Total value |
200 u |
2250 u |
0 u |
Fraction of the tickets given free
= 1 -
120 -
58= 1 -
240 -
2540 =
1340 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 100
=
90100 x 100
= $90
Number of tickets given for free = 13 u
13 u = 910
1 u = 910 ÷ 13 = 70
Total amount collected from the sales of the ticket
= 200 u + 2250 u
= 2450 u
= 2450 x 70
= $171500
Answer(s): $171500