The bird park tickets are priced at $12 and $6. The number of $12-dollar tickets available is 1
12 that of the number of $6-dollar tickets. 3 out of 4 of the $12-dollar tickets and all the $6-dollar tickets were sold. The ticket sales amounted to $1092. How much more would have been collected if all the tickets were sold?
|
$12 |
$6 |
Comparing $12 and $6 tickets at first |
3x4 = 12 u |
2x4 = 8 u |
Before |
4x3 = 12 u |
|
Change |
- 3x3 = - 9 u |
- 8 u |
After |
1x3 = 3 u |
0 u |
The number of 12 tickets at first is repeated. Make the number of 12 tickets the same. LCM of 4 and 3 is 12.
1
12 =
32 Number of $12 tickets : $6 tickets = 3 : 2
|
$12 |
$6 |
Total |
Number |
9 u |
8 u |
|
Value |
$12 |
$6 |
|
Total value |
108 u |
48 u |
$1092 |
Total amount collected from the sale of the sold tickets
= 108 u + 48 u
= 156 u
1 u = 1092 ÷ 156 = 7
Number of $12-tickets left unsold
= 3 u
= 3 x 7
= 21
More amount to be collected if all the tickets were sold
= 21 x 12
= $252
Answer(s): $252