The safari park tickets are priced at $14 and $9. The number of $14-dollar tickets available is 2
15 that of the number of $9-dollar tickets. 3 out of 7 of the $14-dollar tickets and all the $9-dollar tickets were sold. The ticket sales amounted to $6216. How much more would have been collected if all the tickets were sold?
|
$14 |
$9 |
Comparing $14 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 14 tickets at first is repeated. Make the number of 14 tickets the same. LCM of 7 and 11 is 77.
2
15 =
115 Number of $14 tickets : $9 tickets = 11 : 5
|
$14 |
$9 |
Total |
Number |
33 u |
35 u |
|
Value |
$14 |
$9 |
|
Total value |
462 u |
315 u |
$6216 |
Total amount collected from the sale of the sold tickets
= 462 u + 315 u
= 777 u
1 u = 6216 ÷ 777 = 8
Number of $14-tickets left unsold
= 44 u
= 44 x 8
= 352
More amount to be collected if all the tickets were sold
= 352 x 14
= $4928
Answer(s): $4928