The zoo tickets are priced at $18 and $12. The number of $18-dollar tickets available is 2
35 that of the number of $12-dollar tickets. 3 out of 7 of the $18-dollar tickets and all the $12-dollar tickets were sold. The ticket sales amounted to $4488. How much more would have been collected if all the tickets were sold?
|
$18 |
$12 |
Comparing $18 and $12 tickets at first |
13x7 = 91 u |
5x7 = 35 u |
Before |
7x13 = 91 u |
|
Change |
- 3x13 = - 39 u |
- 35 u |
After |
4x13 = 52 u |
0 u |
The number of 18 tickets at first is repeated. Make the number of 18 tickets the same. LCM of 7 and 13 is 91.
2
35 =
135 Number of $18 tickets : $12 tickets = 13 : 5
|
$18 |
$12 |
Total |
Number |
39 u |
35 u |
|
Value |
$18 |
$12 |
|
Total value |
702 u |
420 u |
$4488 |
Total amount collected from the sale of the sold tickets
= 702 u + 420 u
= 1122 u
1 u = 4488 ÷ 1122 = 4
Number of $18-tickets left unsold
= 52 u
= 52 x 4
= 208
More amount to be collected if all the tickets were sold
= 208 x 18
= $3744
Answer(s): $3744