The tourist attraction tickets are priced at $25 and $17. The number of $25-dollar tickets available is 1
16 that of the number of $17-dollar tickets. 2 out of 3 of the $25-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $5904. How much more would have been collected if all the tickets were sold?
|
$25 |
$17 |
Comparing $25 and $17 tickets at first |
7x3 = 21 u |
6x3 = 18 u |
Before |
3x7 = 21 u |
|
Change |
- 2x7 = - 14 u |
- 18 u |
After |
1x7 = 7 u |
0 u |
The number of 25 tickets at first is repeated. Make the number of 25 tickets the same. LCM of 3 and 7 is 21.
1
16 =
76 Number of $25 tickets : $17 tickets = 7 : 6
|
$25 |
$17 |
Total |
Number |
14 u |
18 u |
|
Value |
$25 |
$17 |
|
Total value |
350 u |
306 u |
$5904 |
Total amount collected from the sale of the sold tickets
= 350 u + 306 u
= 656 u
1 u = 5904 ÷ 656 = 9
Number of $25-tickets left unsold
= 7 u
= 7 x 9
= 63
More amount to be collected if all the tickets were sold
= 63 x 25
= $1575
Answer(s): $1575