The safari park tickets are priced at $27 and $20. The number of $27-dollar tickets available is 2
45 that of the number of $20-dollar tickets. 3 out of 4 of the $27-dollar tickets and all the $20-dollar tickets were sold. The ticket sales amounted to $2301. How much more would have been collected if all the tickets were sold?
|
$27 |
$20 |
Comparing $27 and $20 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 27 tickets at first is repeated. Make the number of 27 tickets the same. LCM of 4 and 14 is 28.
2
45 =
145 Number of $27 tickets : $20 tickets = 14 : 5
|
$27 |
$20 |
Total |
Number |
21 u |
10 u |
|
Value |
$27 |
$20 |
|
Total value |
567 u |
200 u |
$2301 |
Total amount collected from the sale of the sold tickets
= 567 u + 200 u
= 767 u
1 u = 2301 ÷ 767 = 3
Number of $27-tickets left unsold
= 7 u
= 7 x 3
= 21
More amount to be collected if all the tickets were sold
= 21 x 27
= $567
Answer(s): $567