The bird park tickets are priced at $27 and $18. The number of $27-dollar tickets available is 1
13 that of the number of $18-dollar tickets. 2 out of 3 of the $27-dollar tickets and all the $18-dollar tickets were sold. The ticket sales amounted to $3780. How much more would have been collected if all the tickets were sold?
|
$27 |
$18 |
Comparing $27 and $18 tickets at first |
4x3 = 12 u |
3x3 = 9 u |
Before |
3x4 = 12 u |
|
Change |
- 2x4 = - 8 u |
- 9 u |
After |
1x4 = 4 u |
0 u |
The number of 27 tickets at first is repeated. Make the number of 27 tickets the same. LCM of 3 and 4 is 12.
1
13 =
43 Number of $27 tickets : $18 tickets = 4 : 3
|
$27 |
$18 |
Total |
Number |
8 u |
9 u |
|
Value |
$27 |
$18 |
|
Total value |
216 u |
162 u |
$3780 |
Total amount collected from the sale of the sold tickets
= 216 u + 162 u
= 378 u
1 u = 3780 ÷ 378 = 10
Number of $27-tickets left unsold
= 4 u
= 4 x 10
= 40
More amount to be collected if all the tickets were sold
= 40 x 27
= $1080
Answer(s): $1080