The theme park tickets are priced at $17 and $9. The number of $17-dollar tickets available is 1
14 that of the number of $9-dollar tickets. 3 out of 7 of the $17-dollar tickets and all the $9-dollar tickets were sold. The ticket sales amounted to $2028. How much more would have been collected if all the tickets were sold?
|
$17 |
$9 |
Comparing $17 and $9 tickets at first |
5x7 = 35 u |
4x7 = 28 u |
Before |
7x5 = 35 u |
|
Change |
- 3x5 = - 15 u |
- 28 u |
After |
4x5 = 20 u |
0 u |
The number of 17 tickets at first is repeated. Make the number of 17 tickets the same. LCM of 7 and 5 is 35.
1
14 =
54 Number of $17 tickets : $9 tickets = 5 : 4
|
$17 |
$9 |
Total |
Number |
15 u |
28 u |
|
Value |
$17 |
$9 |
|
Total value |
255 u |
252 u |
$2028 |
Total amount collected from the sale of the sold tickets
= 255 u + 252 u
= 507 u
1 u = 2028 ÷ 507 = 4
Number of $17-tickets left unsold
= 20 u
= 20 x 4
= 80
More amount to be collected if all the tickets were sold
= 80 x 17
= $1360
Answer(s): $1360