The theme park tickets are priced at $22 and $15. The number of $22-dollar tickets available is 2
23 that of the number of $15-dollar tickets. 3 out of 4 of the $22-dollar tickets and all the $15-dollar tickets were sold. The ticket sales amounted to $1062. How much more would have been collected if all the tickets were sold?
|
$22 |
$15 |
Comparing $22 and $15 tickets at first |
8x1 = 8 u |
3x1 = 3 u |
Before |
4x2 = 8 u |
|
Change |
- 3x2 = - 6 u |
- 3 u |
After |
1x2 = 2 u |
0 u |
The number of 22 tickets at first is repeated. Make the number of 22 tickets the same. LCM of 4 and 8 is 8.
2
23 =
83 Number of $22 tickets : $15 tickets = 8 : 3
|
$22 |
$15 |
Total |
Number |
6 u |
3 u |
|
Value |
$22 |
$15 |
|
Total value |
132 u |
45 u |
$1062 |
Total amount collected from the sale of the sold tickets
= 132 u + 45 u
= 177 u
1 u = 1062 ÷ 177 = 6
Number of $22-tickets left unsold
= 2 u
= 2 x 6
= 12
More amount to be collected if all the tickets were sold
= 12 x 22
= $264
Answer(s): $264