The concert hall tickets are priced at $19 and $11. The number of $19-dollar tickets available is 1
16 that of the number of $11-dollar tickets. 2 out of 3 of the $19-dollar tickets and all the $11-dollar tickets were sold. The ticket sales amounted to $3712. How much more would have been collected if all the tickets were sold?
|
$19 |
$11 |
Comparing $19 and $11 tickets at first |
7x3 = 21 u |
6x3 = 18 u |
Before |
3x7 = 21 u |
|
Change |
- 2x7 = - 14 u |
- 18 u |
After |
1x7 = 7 u |
0 u |
The number of 19 tickets at first is repeated. Make the number of 19 tickets the same. LCM of 3 and 7 is 21.
1
16 =
76 Number of $19 tickets : $11 tickets = 7 : 6
|
$19 |
$11 |
Total |
Number |
14 u |
18 u |
|
Value |
$19 |
$11 |
|
Total value |
266 u |
198 u |
$3712 |
Total amount collected from the sale of the sold tickets
= 266 u + 198 u
= 464 u
1 u = 3712 ÷ 464 = 8
Number of $19-tickets left unsold
= 7 u
= 7 x 8
= 56
More amount to be collected if all the tickets were sold
= 56 x 19
= $1064
Answer(s): $1064