The zoo tickets are priced at $17 and $13. The number of $17-dollar tickets available is 1
45 that of the number of $13-dollar tickets. 3 out of 5 of the $17-dollar tickets and all the $13-dollar tickets were sold. The ticket sales amounted to $3920. How much more would have been collected if all the tickets were sold?
|
$17 |
$13 |
Comparing $17 and $13 tickets at first |
9x5 = 45 u |
5x5 = 25 u |
Before |
5x9 = 45 u |
|
Change |
- 3x9 = - 27 u |
- 25 u |
After |
2x9 = 18 u |
0 u |
The number of 17 tickets at first is repeated. Make the number of 17 tickets the same. LCM of 5 and 9 is 45.
1
45 =
95 Number of $17 tickets : $13 tickets = 9 : 5
|
$17 |
$13 |
Total |
Number |
27 u |
25 u |
|
Value |
$17 |
$13 |
|
Total value |
459 u |
325 u |
$3920 |
Total amount collected from the sale of the sold tickets
= 459 u + 325 u
= 784 u
1 u = 3920 ÷ 784 = 5
Number of $17-tickets left unsold
= 18 u
= 18 x 5
= 90
More amount to be collected if all the tickets were sold
= 90 x 17
= $1530
Answer(s): $1530