The tourist attraction tickets are priced at $24 and $16. The number of $24-dollar tickets available is 2
25 that of the number of $16-dollar tickets. 2 out of 5 of the $24-dollar tickets and all the $16-dollar tickets were sold. The ticket sales amounted to $5856. How much more would have been collected if all the tickets were sold?
|
$24 |
$16 |
Comparing $24 and $16 tickets at first |
12x5 = 60 u |
5x5 = 25 u |
Before |
5x12 = 60 u |
|
Change |
- 2x12 = - 24 u |
- 25 u |
After |
3x12 = 36 u |
0 u |
The number of 24 tickets at first is repeated. Make the number of 24 tickets the same. LCM of 5 and 12 is 60.
2
25 =
125 Number of $24 tickets : $16 tickets = 12 : 5
|
$24 |
$16 |
Total |
Number |
24 u |
25 u |
|
Value |
$24 |
$16 |
|
Total value |
576 u |
400 u |
$5856 |
Total amount collected from the sale of the sold tickets
= 576 u + 400 u
= 976 u
1 u = 5856 ÷ 976 = 6
Number of $24-tickets left unsold
= 36 u
= 36 x 6
= 216
More amount to be collected if all the tickets were sold
= 216 x 24
= $5184
Answer(s): $5184