The museum tickets are priced at $12 and $6. The number of $12-dollar tickets available is 2
34 that of the number of $6-dollar tickets. 2 out of 3 of the $12-dollar tickets and all the $6-dollar tickets were sold. The ticket sales amounted to $2016. How much more would have been collected if all the tickets were sold?
|
$12 |
$6 |
Comparing $12 and $6 tickets at first |
11x3 = 33 u |
4x3 = 12 u |
Before |
3x11 = 33 u |
|
Change |
- 2x11 = - 22 u |
- 12 u |
After |
1x11 = 11 u |
0 u |
The number of 12 tickets at first is repeated. Make the number of 12 tickets the same. LCM of 3 and 11 is 33.
2
34 =
114 Number of $12 tickets : $6 tickets = 11 : 4
|
$12 |
$6 |
Total |
Number |
22 u |
12 u |
|
Value |
$12 |
$6 |
|
Total value |
264 u |
72 u |
$2016 |
Total amount collected from the sale of the sold tickets
= 264 u + 72 u
= 336 u
1 u = 2016 ÷ 336 = 6
Number of $12-tickets left unsold
= 11 u
= 11 x 6
= 66
More amount to be collected if all the tickets were sold
= 66 x 12
= $792
Answer(s): $792