The stadium tickets are priced at $29 and $20. The number of $29-dollar tickets available is 1
56 that of the number of $20-dollar tickets. 2 out of 3 of the $29-dollar tickets and all the $20-dollar tickets were sold. The ticket sales amounted to $7984. How much more would have been collected if all the tickets were sold?
|
$29 |
$20 |
Comparing $29 and $20 tickets at first |
11x3 = 33 u |
6x3 = 18 u |
Before |
3x11 = 33 u |
|
Change |
- 2x11 = - 22 u |
- 18 u |
After |
1x11 = 11 u |
0 u |
The number of 29 tickets at first is repeated. Make the number of 29 tickets the same. LCM of 3 and 11 is 33.
1
56 =
116 Number of $29 tickets : $20 tickets = 11 : 6
|
$29 |
$20 |
Total |
Number |
22 u |
18 u |
|
Value |
$29 |
$20 |
|
Total value |
638 u |
360 u |
$7984 |
Total amount collected from the sale of the sold tickets
= 638 u + 360 u
= 998 u
1 u = 7984 ÷ 998 = 8
Number of $29-tickets left unsold
= 11 u
= 11 x 8
= 88
More amount to be collected if all the tickets were sold
= 88 x 29
= $2552
Answer(s): $2552