The stadium tickets are priced at $24 and $16. The number of $24-dollar tickets available is 2
13 that of the number of $16-dollar tickets. 3 out of 4 of the $24-dollar tickets and all the $16-dollar tickets were sold. The ticket sales amounted to $1392. How much more would have been collected if all the tickets were sold?
|
$24 |
$16 |
Comparing $24 and $16 tickets at first |
7x4 = 28 u |
3x4 = 12 u |
Before |
4x7 = 28 u |
|
Change |
- 3x7 = - 21 u |
- 12 u |
After |
1x7 = 7 u |
0 u |
The number of 24 tickets at first is repeated. Make the number of 24 tickets the same. LCM of 4 and 7 is 28.
2
13 =
73 Number of $24 tickets : $16 tickets = 7 : 3
|
$24 |
$16 |
Total |
Number |
21 u |
12 u |
|
Value |
$24 |
$16 |
|
Total value |
504 u |
192 u |
$1392 |
Total amount collected from the sale of the sold tickets
= 504 u + 192 u
= 696 u
1 u = 1392 ÷ 696 = 2
Number of $24-tickets left unsold
= 7 u
= 7 x 2
= 14
More amount to be collected if all the tickets were sold
= 14 x 24
= $336
Answer(s): $336