The zoo tickets are priced at $11 and $9. The number of $11-dollar tickets available is 2
25 that of the number of $9-dollar tickets. 3 out of 4 of the $11-dollar tickets and all the $9-dollar tickets were sold. The ticket sales amounted to $432. How much more would have been collected if all the tickets were sold?
|
$11 |
$9 |
Comparing $11 and $9 tickets at first |
12x1 = 12 u |
5x1 = 5 u |
Before |
4x3 = 12 u |
|
Change |
- 3x3 = - 9 u |
- 5 u |
After |
1x3 = 3 u |
0 u |
The number of 11 tickets at first is repeated. Make the number of 11 tickets the same. LCM of 4 and 12 is 12.
2
25 =
125 Number of $11 tickets : $9 tickets = 12 : 5
|
$11 |
$9 |
Total |
Number |
9 u |
5 u |
|
Value |
$11 |
$9 |
|
Total value |
99 u |
45 u |
$432 |
Total amount collected from the sale of the sold tickets
= 99 u + 45 u
= 144 u
1 u = 432 ÷ 144 = 3
Number of $11-tickets left unsold
= 3 u
= 3 x 3
= 9
More amount to be collected if all the tickets were sold
= 9 x 11
= $99
Answer(s): $99