The theme park tickets are priced at $19 and $16. The number of $19-dollar tickets available is 1
23 that of the number of $16-dollar tickets. 2 out of 3 of the $19-dollar tickets and all the $16-dollar tickets were sold. The ticket sales amounted to $4008. How much more would have been collected if all the tickets were sold?
|
$19 |
$16 |
Comparing $19 and $16 tickets at first |
5x3 = 15 u |
3x3 = 9 u |
Before |
3x5 = 15 u |
|
Change |
- 2x5 = - 10 u |
- 9 u |
After |
1x5 = 5 u |
0 u |
The number of 19 tickets at first is repeated. Make the number of 19 tickets the same. LCM of 3 and 5 is 15.
1
23 =
53 Number of $19 tickets : $16 tickets = 5 : 3
|
$19 |
$16 |
Total |
Number |
10 u |
9 u |
|
Value |
$19 |
$16 |
|
Total value |
190 u |
144 u |
$4008 |
Total amount collected from the sale of the sold tickets
= 190 u + 144 u
= 334 u
1 u = 4008 ÷ 334 = 12
Number of $19-tickets left unsold
= 5 u
= 5 x 12
= 60
More amount to be collected if all the tickets were sold
= 60 x 19
= $1140
Answer(s): $1140