The zoo tickets are priced at $21 and $17. The number of $21-dollar tickets available is 1
13 that of the number of $17-dollar tickets. 2 out of 3 of the $21-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $963. How much more would have been collected if all the tickets were sold?
|
$21 |
$17 |
Comparing $21 and $17 tickets at first |
4x3 = 12 u |
3x3 = 9 u |
Before |
3x4 = 12 u |
|
Change |
- 2x4 = - 8 u |
- 9 u |
After |
1x4 = 4 u |
0 u |
The number of 21 tickets at first is repeated. Make the number of 21 tickets the same. LCM of 3 and 4 is 12.
1
13 =
43 Number of $21 tickets : $17 tickets = 4 : 3
|
$21 |
$17 |
Total |
Number |
8 u |
9 u |
|
Value |
$21 |
$17 |
|
Total value |
168 u |
153 u |
$963 |
Total amount collected from the sale of the sold tickets
= 168 u + 153 u
= 321 u
1 u = 963 ÷ 321 = 3
Number of $21-tickets left unsold
= 4 u
= 4 x 3
= 12
More amount to be collected if all the tickets were sold
= 12 x 21
= $252
Answer(s): $252