The park tickets are priced at $22 and $20. The number of $22-dollar tickets available is 1
25 that of the number of $20-dollar tickets. 2 out of 3 of the $22-dollar tickets and all the $20-dollar tickets were sold. The ticket sales amounted to $2432. How much more would have been collected if all the tickets were sold?
|
$22 |
$20 |
Comparing $22 and $20 tickets at first |
7x3 = 21 u |
5x3 = 15 u |
Before |
3x7 = 21 u |
|
Change |
- 2x7 = - 14 u |
- 15 u |
After |
1x7 = 7 u |
0 u |
The number of 22 tickets at first is repeated. Make the number of 22 tickets the same. LCM of 3 and 7 is 21.
1
25 =
75 Number of $22 tickets : $20 tickets = 7 : 5
|
$22 |
$20 |
Total |
Number |
14 u |
15 u |
|
Value |
$22 |
$20 |
|
Total value |
308 u |
300 u |
$2432 |
Total amount collected from the sale of the sold tickets
= 308 u + 300 u
= 608 u
1 u = 2432 ÷ 608 = 4
Number of $22-tickets left unsold
= 7 u
= 7 x 4
= 28
More amount to be collected if all the tickets were sold
= 28 x 22
= $616
Answer(s): $616