The zoo tickets are priced at $20 and $15. The number of $20-dollar tickets available is 1
12 that of the number of $15-dollar tickets. 3 out of 7 of the $20-dollar tickets and all the $15-dollar tickets were sold. The ticket sales amounted to $1170. How much more would have been collected if all the tickets were sold?
|
$20 |
$15 |
Comparing $20 and $15 tickets at first |
3x7 = 21 u |
2x7 = 14 u |
Before |
7x3 = 21 u |
|
Change |
- 3x3 = - 9 u |
- 14 u |
After |
4x3 = 12 u |
0 u |
The number of 20 tickets at first is repeated. Make the number of 20 tickets the same. LCM of 7 and 3 is 21.
1
12 =
32 Number of $20 tickets : $15 tickets = 3 : 2
|
$20 |
$15 |
Total |
Number |
9 u |
14 u |
|
Value |
$20 |
$15 |
|
Total value |
180 u |
210 u |
$1170 |
Total amount collected from the sale of the sold tickets
= 180 u + 210 u
= 390 u
1 u = 1170 ÷ 390 = 3
Number of $20-tickets left unsold
= 12 u
= 12 x 3
= 36
More amount to be collected if all the tickets were sold
= 36 x 20
= $720
Answer(s): $720