The stadium tickets are priced at $23 and $17. The number of $23-dollar tickets available is 2
16 that of the number of $17-dollar tickets. 2 out of 5 of the $23-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $12188. How much more would have been collected if all the tickets were sold?
|
$23 |
$17 |
Comparing $23 and $17 tickets at first |
13x5 = 65 u |
6x5 = 30 u |
Before |
5x13 = 65 u |
|
Change |
- 2x13 = - 26 u |
- 30 u |
After |
3x13 = 39 u |
0 u |
The number of 23 tickets at first is repeated. Make the number of 23 tickets the same. LCM of 5 and 13 is 65.
2
16 =
136 Number of $23 tickets : $17 tickets = 13 : 6
|
$23 |
$17 |
Total |
Number |
26 u |
30 u |
|
Value |
$23 |
$17 |
|
Total value |
598 u |
510 u |
$12188 |
Total amount collected from the sale of the sold tickets
= 598 u + 510 u
= 1108 u
1 u = 12188 ÷ 1108 = 11
Number of $23-tickets left unsold
= 39 u
= 39 x 11
= 429
More amount to be collected if all the tickets were sold
= 429 x 23
= $9867
Answer(s): $9867