The park tickets are priced at $20 and $11. The number of $20-dollar tickets available is 2
12 that of the number of $11-dollar tickets. 3 out of 7 of the $20-dollar tickets and all the $11-dollar tickets were sold. The ticket sales amounted to $1362. How much more would have been collected if all the tickets were sold?
|
$20 |
$11 |
Comparing $20 and $11 tickets at first |
5x7 = 35 u |
2x7 = 14 u |
Before |
7x5 = 35 u |
|
Change |
- 3x5 = - 15 u |
- 14 u |
After |
4x5 = 20 u |
0 u |
The number of 20 tickets at first is repeated. Make the number of 20 tickets the same. LCM of 7 and 5 is 35.
2
12 =
52 Number of $20 tickets : $11 tickets = 5 : 2
|
$20 |
$11 |
Total |
Number |
15 u |
14 u |
|
Value |
$20 |
$11 |
|
Total value |
300 u |
154 u |
$1362 |
Total amount collected from the sale of the sold tickets
= 300 u + 154 u
= 454 u
1 u = 1362 ÷ 454 = 3
Number of $20-tickets left unsold
= 20 u
= 20 x 3
= 60
More amount to be collected if all the tickets were sold
= 60 x 20
= $1200
Answer(s): $1200