The zoo tickets are priced at $21 and $12. The number of $21-dollar tickets available is 1
34 that of the number of $12-dollar tickets. 3 out of 4 of the $21-dollar tickets and all the $12-dollar tickets were sold. The ticket sales amounted to $3798. How much more would have been collected if all the tickets were sold?
|
$21 |
$12 |
Comparing $21 and $12 tickets at first |
7x4 = 28 u |
4x4 = 16 u |
Before |
4x7 = 28 u |
|
Change |
- 3x7 = - 21 u |
- 16 u |
After |
1x7 = 7 u |
0 u |
The number of 21 tickets at first is repeated. Make the number of 21 tickets the same. LCM of 4 and 7 is 28.
1
34 =
74 Number of $21 tickets : $12 tickets = 7 : 4
|
$21 |
$12 |
Total |
Number |
21 u |
16 u |
|
Value |
$21 |
$12 |
|
Total value |
441 u |
192 u |
$3798 |
Total amount collected from the sale of the sold tickets
= 441 u + 192 u
= 633 u
1 u = 3798 ÷ 633 = 6
Number of $21-tickets left unsold
= 7 u
= 7 x 6
= 42
More amount to be collected if all the tickets were sold
= 42 x 21
= $882
Answer(s): $882