The park tickets are priced at $21 and $11. The number of $21-dollar tickets available is 1
45 that of the number of $11-dollar tickets. 2 out of 5 of the $21-dollar tickets and all the $11-dollar tickets were sold. The ticket sales amounted to $7183. How much more would have been collected if all the tickets were sold?
|
$21 |
$11 |
Comparing $21 and $11 tickets at first |
9x5 = 45 u |
5x5 = 25 u |
Before |
5x9 = 45 u |
|
Change |
- 2x9 = - 18 u |
- 25 u |
After |
3x9 = 27 u |
0 u |
The number of 21 tickets at first is repeated. Make the number of 21 tickets the same. LCM of 5 and 9 is 45.
1
45 =
95 Number of $21 tickets : $11 tickets = 9 : 5
|
$21 |
$11 |
Total |
Number |
18 u |
25 u |
|
Value |
$21 |
$11 |
|
Total value |
378 u |
275 u |
$7183 |
Total amount collected from the sale of the sold tickets
= 378 u + 275 u
= 653 u
1 u = 7183 ÷ 653 = 11
Number of $21-tickets left unsold
= 27 u
= 27 x 11
= 297
More amount to be collected if all the tickets were sold
= 297 x 21
= $6237
Answer(s): $6237