The bird park tickets are priced at $19 and $9. The number of $19-dollar tickets available is 2
15 that of the number of $9-dollar tickets. 2 out of 5 of the $19-dollar tickets and all the $9-dollar tickets were sold. The ticket sales amounted to $4501. How much more would have been collected if all the tickets were sold?
|
$19 |
$9 |
Comparing $19 and $9 tickets at first |
11x5 = 55 u |
5x5 = 25 u |
Before |
5x11 = 55 u |
|
Change |
- 2x11 = - 22 u |
- 25 u |
After |
3x11 = 33 u |
0 u |
The number of 19 tickets at first is repeated. Make the number of 19 tickets the same. LCM of 5 and 11 is 55.
2
15 =
115 Number of $19 tickets : $9 tickets = 11 : 5
|
$19 |
$9 |
Total |
Number |
22 u |
25 u |
|
Value |
$19 |
$9 |
|
Total value |
418 u |
225 u |
$4501 |
Total amount collected from the sale of the sold tickets
= 418 u + 225 u
= 643 u
1 u = 4501 ÷ 643 = 7
Number of $19-tickets left unsold
= 33 u
= 33 x 7
= 231
More amount to be collected if all the tickets were sold
= 231 x 19
= $4389
Answer(s): $4389