The stadium tickets are priced at $11 and $6. The number of $11-dollar tickets available is 2
14 that of the number of $6-dollar tickets. 3 out of 5 of the $11-dollar tickets and all the $6-dollar tickets were sold. The ticket sales amounted to $1668. How much more would have been collected if all the tickets were sold?
|
$11 |
$6 |
Comparing $11 and $6 tickets at first |
9x5 = 45 u |
4x5 = 20 u |
Before |
5x9 = 45 u |
|
Change |
- 3x9 = - 27 u |
- 20 u |
After |
2x9 = 18 u |
0 u |
The number of 11 tickets at first is repeated. Make the number of 11 tickets the same. LCM of 5 and 9 is 45.
2
14 =
94 Number of $11 tickets : $6 tickets = 9 : 4
|
$11 |
$6 |
Total |
Number |
27 u |
20 u |
|
Value |
$11 |
$6 |
|
Total value |
297 u |
120 u |
$1668 |
Total amount collected from the sale of the sold tickets
= 297 u + 120 u
= 417 u
1 u = 1668 ÷ 417 = 4
Number of $11-tickets left unsold
= 18 u
= 18 x 4
= 72
More amount to be collected if all the tickets were sold
= 72 x 11
= $792
Answer(s): $792