The stadium tickets are priced at $24 and $15. The number of $24-dollar tickets available is 2
12 that of the number of $15-dollar tickets. 3 out of 4 of the $24-dollar tickets and all the $15-dollar tickets were sold. The ticket sales amounted to $2880. How much more would have been collected if all the tickets were sold?
|
$24 |
$15 |
Comparing $24 and $15 tickets at first |
5x4 = 20 u |
2x4 = 8 u |
Before |
4x5 = 20 u |
|
Change |
- 3x5 = - 15 u |
- 8 u |
After |
1x5 = 5 u |
0 u |
The number of 24 tickets at first is repeated. Make the number of 24 tickets the same. LCM of 4 and 5 is 20.
2
12 =
52 Number of $24 tickets : $15 tickets = 5 : 2
|
$24 |
$15 |
Total |
Number |
15 u |
8 u |
|
Value |
$24 |
$15 |
|
Total value |
360 u |
120 u |
$2880 |
Total amount collected from the sale of the sold tickets
= 360 u + 120 u
= 480 u
1 u = 2880 ÷ 480 = 6
Number of $24-tickets left unsold
= 5 u
= 5 x 6
= 30
More amount to be collected if all the tickets were sold
= 30 x 24
= $720
Answer(s): $720