The stadium tickets are priced at $10 and $8. The number of $10-dollar tickets available is 2
23 that of the number of $8-dollar tickets. 2 out of 5 of the $10-dollar tickets and all the $8-dollar tickets were sold. The ticket sales amounted to $840. How much more would have been collected if all the tickets were sold?
|
$10 |
$8 |
Comparing $10 and $8 tickets at first |
8x5 = 40 u |
3x5 = 15 u |
Before |
5x8 = 40 u |
|
Change |
- 2x8 = - 16 u |
- 15 u |
After |
3x8 = 24 u |
0 u |
The number of 10 tickets at first is repeated. Make the number of 10 tickets the same. LCM of 5 and 8 is 40.
2
23 =
83 Number of $10 tickets : $8 tickets = 8 : 3
|
$10 |
$8 |
Total |
Number |
16 u |
15 u |
|
Value |
$10 |
$8 |
|
Total value |
160 u |
120 u |
$840 |
Total amount collected from the sale of the sold tickets
= 160 u + 120 u
= 280 u
1 u = 840 ÷ 280 = 3
Number of $10-tickets left unsold
= 24 u
= 24 x 3
= 72
More amount to be collected if all the tickets were sold
= 72 x 10
= $720
Answer(s): $720