The stadium tickets are priced at $25 and $17. The number of $25-dollar tickets available is 2
34 that of the number of $17-dollar tickets. 2 out of 5 of the $25-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $2670. How much more would have been collected if all the tickets were sold?
|
$25 |
$17 |
Comparing $25 and $17 tickets at first |
11x5 = 55 u |
4x5 = 20 u |
Before |
5x11 = 55 u |
|
Change |
- 2x11 = - 22 u |
- 20 u |
After |
3x11 = 33 u |
0 u |
The number of 25 tickets at first is repeated. Make the number of 25 tickets the same. LCM of 5 and 11 is 55.
2
34 =
114 Number of $25 tickets : $17 tickets = 11 : 4
|
$25 |
$17 |
Total |
Number |
22 u |
20 u |
|
Value |
$25 |
$17 |
|
Total value |
550 u |
340 u |
$2670 |
Total amount collected from the sale of the sold tickets
= 550 u + 340 u
= 890 u
1 u = 2670 ÷ 890 = 3
Number of $25-tickets left unsold
= 33 u
= 33 x 3
= 99
More amount to be collected if all the tickets were sold
= 99 x 25
= $2475
Answer(s): $2475