The bird park tickets are priced at $12 and $10. The number of $12-dollar tickets available is 2
25 that of the number of $10-dollar tickets. 3 out of 4 of the $12-dollar tickets and all the $10-dollar tickets were sold. The ticket sales amounted to $1580. How much more would have been collected if all the tickets were sold?
|
$12 |
$10 |
Comparing $12 and $10 tickets at first |
12x1 = 12 u |
5x1 = 5 u |
Before |
4x3 = 12 u |
|
Change |
- 3x3 = - 9 u |
- 5 u |
After |
1x3 = 3 u |
0 u |
The number of 12 tickets at first is repeated. Make the number of 12 tickets the same. LCM of 4 and 12 is 12.
2
25 =
125 Number of $12 tickets : $10 tickets = 12 : 5
|
$12 |
$10 |
Total |
Number |
9 u |
5 u |
|
Value |
$12 |
$10 |
|
Total value |
108 u |
50 u |
$1580 |
Total amount collected from the sale of the sold tickets
= 108 u + 50 u
= 158 u
1 u = 1580 ÷ 158 = 10
Number of $12-tickets left unsold
= 3 u
= 3 x 10
= 30
More amount to be collected if all the tickets were sold
= 30 x 12
= $360
Answer(s): $360