The stadium tickets are priced at $22 and $14. The number of $22-dollar tickets available is 1
15 that of the number of $14-dollar tickets. 2 out of 5 of the $22-dollar tickets and all the $14-dollar tickets were sold. The ticket sales amounted to $2456. How much more would have been collected if all the tickets were sold?
|
$22 |
$14 |
Comparing $22 and $14 tickets at first |
6x5 = 30 u |
5x5 = 25 u |
Before |
5x6 = 30 u |
|
Change |
- 2x6 = - 12 u |
- 25 u |
After |
3x6 = 18 u |
0 u |
The number of 22 tickets at first is repeated. Make the number of 22 tickets the same. LCM of 5 and 6 is 30.
1
15 =
65 Number of $22 tickets : $14 tickets = 6 : 5
|
$22 |
$14 |
Total |
Number |
12 u |
25 u |
|
Value |
$22 |
$14 |
|
Total value |
264 u |
350 u |
$2456 |
Total amount collected from the sale of the sold tickets
= 264 u + 350 u
= 614 u
1 u = 2456 ÷ 614 = 4
Number of $22-tickets left unsold
= 18 u
= 18 x 4
= 72
More amount to be collected if all the tickets were sold
= 72 x 22
= $1584
Answer(s): $1584