The bird park tickets are priced at $13 and $9. The number of $13-dollar tickets available is 2
15 that of the number of $9-dollar tickets. 3 out of 7 of the $13-dollar tickets and all the $9-dollar tickets were sold. The ticket sales amounted to $2232. How much more would have been collected if all the tickets were sold?
|
$13 |
$9 |
Comparing $13 and $9 tickets at first |
11x7 = 77 u |
5x7 = 35 u |
Before |
7x11 = 77 u |
|
Change |
- 3x11 = - 33 u |
- 35 u |
After |
4x11 = 44 u |
0 u |
The number of 13 tickets at first is repeated. Make the number of 13 tickets the same. LCM of 7 and 11 is 77.
2
15 =
115 Number of $13 tickets : $9 tickets = 11 : 5
|
$13 |
$9 |
Total |
Number |
33 u |
35 u |
|
Value |
$13 |
$9 |
|
Total value |
429 u |
315 u |
$2232 |
Total amount collected from the sale of the sold tickets
= 429 u + 315 u
= 744 u
1 u = 2232 ÷ 744 = 3
Number of $13-tickets left unsold
= 44 u
= 44 x 3
= 132
More amount to be collected if all the tickets were sold
= 132 x 13
= $1716
Answer(s): $1716