The stadium tickets are priced at $12 and $7. The number of $12-dollar tickets available is 1
15 that of the number of $7-dollar tickets. 2 out of 3 of the $12-dollar tickets and all the $7-dollar tickets were sold. The ticket sales amounted to $581. How much more would have been collected if all the tickets were sold?
|
$12 |
$7 |
Comparing $12 and $7 tickets at first |
6x1 = 6 u |
5x1 = 5 u |
Before |
3x2 = 6 u |
|
Change |
- 2x2 = - 4 u |
- 5 u |
After |
1x2 = 2 u |
0 u |
The number of 12 tickets at first is repeated. Make the number of 12 tickets the same. LCM of 3 and 6 is 6.
1
15 =
65 Number of $12 tickets : $7 tickets = 6 : 5
|
$12 |
$7 |
Total |
Number |
4 u |
5 u |
|
Value |
$12 |
$7 |
|
Total value |
48 u |
35 u |
$581 |
Total amount collected from the sale of the sold tickets
= 48 u + 35 u
= 83 u
1 u = 581 ÷ 83 = 7
Number of $12-tickets left unsold
= 2 u
= 2 x 7
= 14
More amount to be collected if all the tickets were sold
= 14 x 12
= $168
Answer(s): $168