The stadium tickets are priced at $11 and $5. The number of $11-dollar tickets available is 1
13 that of the number of $5-dollar tickets. 2 out of 5 of the $11-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $815. How much more would have been collected if all the tickets were sold?
|
$11 |
$5 |
Comparing $11 and $5 tickets at first |
4x5 = 20 u |
3x5 = 15 u |
Before |
5x4 = 20 u |
|
Change |
- 2x4 = - 8 u |
- 15 u |
After |
3x4 = 12 u |
0 u |
The number of 11 tickets at first is repeated. Make the number of 11 tickets the same. LCM of 5 and 4 is 20.
1
13 =
43 Number of $11 tickets : $5 tickets = 4 : 3
|
$11 |
$5 |
Total |
Number |
8 u |
15 u |
|
Value |
$11 |
$5 |
|
Total value |
88 u |
75 u |
$815 |
Total amount collected from the sale of the sold tickets
= 88 u + 75 u
= 163 u
1 u = 815 ÷ 163 = 5
Number of $11-tickets left unsold
= 12 u
= 12 x 5
= 60
More amount to be collected if all the tickets were sold
= 60 x 11
= $660
Answer(s): $660