The zoo tickets are priced at $21 and $17. The number of $21-dollar tickets available is 2
12 that of the number of $17-dollar tickets. 3 out of 4 of the $21-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $902. How much more would have been collected if all the tickets were sold?
|
$21 |
$17 |
Comparing $21 and $17 tickets at first |
5x4 = 20 u |
2x4 = 8 u |
Before |
4x5 = 20 u |
|
Change |
- 3x5 = - 15 u |
- 8 u |
After |
1x5 = 5 u |
0 u |
The number of 21 tickets at first is repeated. Make the number of 21 tickets the same. LCM of 4 and 5 is 20.
2
12 =
52 Number of $21 tickets : $17 tickets = 5 : 2
|
$21 |
$17 |
Total |
Number |
15 u |
8 u |
|
Value |
$21 |
$17 |
|
Total value |
315 u |
136 u |
$902 |
Total amount collected from the sale of the sold tickets
= 315 u + 136 u
= 451 u
1 u = 902 ÷ 451 = 2
Number of $21-tickets left unsold
= 5 u
= 5 x 2
= 10
More amount to be collected if all the tickets were sold
= 10 x 21
= $210
Answer(s): $210