The zoo tickets are priced at $27 and $20. The number of $27-dollar tickets available is 1
23 that of the number of $20-dollar tickets. 2 out of 3 of the $27-dollar tickets and all the $20-dollar tickets were sold. The ticket sales amounted to $4950. How much more would have been collected if all the tickets were sold?
|
$27 |
$20 |
Comparing $27 and $20 tickets at first |
5x3 = 15 u |
3x3 = 9 u |
Before |
3x5 = 15 u |
|
Change |
- 2x5 = - 10 u |
- 9 u |
After |
1x5 = 5 u |
0 u |
The number of 27 tickets at first is repeated. Make the number of 27 tickets the same. LCM of 3 and 5 is 15.
1
23 =
53 Number of $27 tickets : $20 tickets = 5 : 3
|
$27 |
$20 |
Total |
Number |
10 u |
9 u |
|
Value |
$27 |
$20 |
|
Total value |
270 u |
180 u |
$4950 |
Total amount collected from the sale of the sold tickets
= 270 u + 180 u
= 450 u
1 u = 4950 ÷ 450 = 11
Number of $27-tickets left unsold
= 5 u
= 5 x 11
= 55
More amount to be collected if all the tickets were sold
= 55 x 27
= $1485
Answer(s): $1485