The theme park tickets are priced at $14 and $5. The number of $14-dollar tickets available is 1
12 that of the number of $5-dollar tickets. 3 out of 5 of the $14-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $880. How much more would have been collected if all the tickets were sold?
|
$14 |
$5 |
Comparing $14 and $5 tickets at first |
3x5 = 15 u |
2x5 = 10 u |
Before |
5x3 = 15 u |
|
Change |
- 3x3 = - 9 u |
- 10 u |
After |
2x3 = 6 u |
0 u |
The number of 14 tickets at first is repeated. Make the number of 14 tickets the same. LCM of 5 and 3 is 15.
1
12 =
32 Number of $14 tickets : $5 tickets = 3 : 2
|
$14 |
$5 |
Total |
Number |
9 u |
10 u |
|
Value |
$14 |
$5 |
|
Total value |
126 u |
50 u |
$880 |
Total amount collected from the sale of the sold tickets
= 126 u + 50 u
= 176 u
1 u = 880 ÷ 176 = 5
Number of $14-tickets left unsold
= 6 u
= 6 x 5
= 30
More amount to be collected if all the tickets were sold
= 30 x 14
= $420
Answer(s): $420