The concert hall tickets are priced at $7 and $5. The number of $7-dollar tickets available is 1
12 that of the number of $5-dollar tickets. 3 out of 4 of the $7-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $515. How much more would have been collected if all the tickets were sold?
|
$7 |
$5 |
Comparing $7 and $5 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 7 tickets at first is repeated. Make the number of 7 tickets the same. LCM of 4 and 3 is 12.
1
12 =
32 Number of $7 tickets : $5 tickets = 3 : 2
|
$7 |
$5 |
Total |
Number |
9 u |
8 u |
|
Value |
$7 |
$5 |
|
Total value |
63 u |
40 u |
$515 |
Total amount collected from the sale of the sold tickets
= 63 u + 40 u
= 103 u
1 u = 515 ÷ 103 = 5
Number of $7-tickets left unsold
= 3 u
= 3 x 5
= 15
More amount to be collected if all the tickets were sold
= 15 x 7
= $105
Answer(s): $105