The tourist attraction tickets are priced at $9 and $5. The number of $9-dollar tickets available is 1
56 that of the number of $5-dollar tickets. 2 out of 3 of the $9-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $2304. How much more would have been collected if all the tickets were sold?
|
$9 |
$5 |
Comparing $9 and $5 tickets at first |
11x3 = 33 u |
6x3 = 18 u |
Before |
3x11 = 33 u |
|
Change |
- 2x11 = - 22 u |
- 18 u |
After |
1x11 = 11 u |
0 u |
The number of 9 tickets at first is repeated. Make the number of 9 tickets the same. LCM of 3 and 11 is 33.
1
56 =
116 Number of $9 tickets : $5 tickets = 11 : 6
|
$9 |
$5 |
Total |
Number |
22 u |
18 u |
|
Value |
$9 |
$5 |
|
Total value |
198 u |
90 u |
$2304 |
Total amount collected from the sale of the sold tickets
= 198 u + 90 u
= 288 u
1 u = 2304 ÷ 288 = 8
Number of $9-tickets left unsold
= 11 u
= 11 x 8
= 88
More amount to be collected if all the tickets were sold
= 88 x 9
= $792
Answer(s): $792