The stadium tickets are priced at $22 and $14. The number of $22-dollar tickets available is 1
23 that of the number of $14-dollar tickets. 2 out of 3 of the $22-dollar tickets and all the $14-dollar tickets were sold. The ticket sales amounted to $2422. How much more would have been collected if all the tickets were sold?
|
$22 |
$14 |
Comparing $22 and $14 tickets at first |
5x3 = 15 u |
3x3 = 9 u |
Before |
3x5 = 15 u |
|
Change |
- 2x5 = - 10 u |
- 9 u |
After |
1x5 = 5 u |
0 u |
The number of 22 tickets at first is repeated. Make the number of 22 tickets the same. LCM of 3 and 5 is 15.
1
23 =
53 Number of $22 tickets : $14 tickets = 5 : 3
|
$22 |
$14 |
Total |
Number |
10 u |
9 u |
|
Value |
$22 |
$14 |
|
Total value |
220 u |
126 u |
$2422 |
Total amount collected from the sale of the sold tickets
= 220 u + 126 u
= 346 u
1 u = 2422 ÷ 346 = 7
Number of $22-tickets left unsold
= 5 u
= 5 x 7
= 35
More amount to be collected if all the tickets were sold
= 35 x 22
= $770
Answer(s): $770