The concert hall tickets are priced at $19 and $11. The number of $19-dollar tickets available is 2
23 that of the number of $11-dollar tickets. 2 out of 5 of the $19-dollar tickets and all the $11-dollar tickets were sold. The ticket sales amounted to $1876. How much more would have been collected if all the tickets were sold?
|
$19 |
$11 |
Comparing $19 and $11 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 19 tickets at first is repeated. Make the number of 19 tickets the same. LCM of 5 and 8 is 40.
2
23 =
83 Number of $19 tickets : $11 tickets = 8 : 3
|
$19 |
$11 |
Total |
Number |
16 u |
15 u |
|
Value |
$19 |
$11 |
|
Total value |
304 u |
165 u |
$1876 |
Total amount collected from the sale of the sold tickets
= 304 u + 165 u
= 469 u
1 u = 1876 ÷ 469 = 4
Number of $19-tickets left unsold
= 24 u
= 24 x 4
= 96
More amount to be collected if all the tickets were sold
= 96 x 19
= $1824
Answer(s): $1824