The stadium tickets are priced at $16 and $13. The number of $16-dollar tickets available is 2
25 that of the number of $13-dollar tickets. 3 out of 5 of the $16-dollar tickets and all the $13-dollar tickets were sold. The ticket sales amounted to $5406. How much more would have been collected if all the tickets were sold?
|
$16 |
$13 |
Comparing $16 and $13 tickets at first |
12x5 = 60 u |
5x5 = 25 u |
Before |
5x12 = 60 u |
|
Change |
- 3x12 = - 36 u |
- 25 u |
After |
2x12 = 24 u |
0 u |
The number of 16 tickets at first is repeated. Make the number of 16 tickets the same. LCM of 5 and 12 is 60.
2
25 =
125 Number of $16 tickets : $13 tickets = 12 : 5
|
$16 |
$13 |
Total |
Number |
36 u |
25 u |
|
Value |
$16 |
$13 |
|
Total value |
576 u |
325 u |
$5406 |
Total amount collected from the sale of the sold tickets
= 576 u + 325 u
= 901 u
1 u = 5406 ÷ 901 = 6
Number of $16-tickets left unsold
= 24 u
= 24 x 6
= 144
More amount to be collected if all the tickets were sold
= 144 x 16
= $2304
Answer(s): $2304