The concert hall tickets are priced at $16 and $7. The number of $16-dollar tickets available is 2
45 that of the number of $7-dollar tickets. 3 out of 4 of the $16-dollar tickets and all the $7-dollar tickets were sold. The ticket sales amounted to $2842. How much more would have been collected if all the tickets were sold?
|
$16 |
$7 |
Comparing $16 and $7 tickets at first |
14x2 = 28 u |
5x2 = 10 u |
Before |
4x7 = 28 u |
|
Change |
- 3x7 = - 21 u |
- 10 u |
After |
1x7 = 7 u |
0 u |
The number of 16 tickets at first is repeated. Make the number of 16 tickets the same. LCM of 4 and 14 is 28.
2
45 =
145 Number of $16 tickets : $7 tickets = 14 : 5
|
$16 |
$7 |
Total |
Number |
21 u |
10 u |
|
Value |
$16 |
$7 |
|
Total value |
336 u |
70 u |
$2842 |
Total amount collected from the sale of the sold tickets
= 336 u + 70 u
= 406 u
1 u = 2842 ÷ 406 = 7
Number of $16-tickets left unsold
= 7 u
= 7 x 7
= 49
More amount to be collected if all the tickets were sold
= 49 x 16
= $784
Answer(s): $784