The zoo tickets are priced at $10 and $7. The number of $10-dollar tickets available is 2
25 that of the number of $7-dollar tickets. 3 out of 7 of the $10-dollar tickets and all the $7-dollar tickets were sold. The ticket sales amounted to $7260. How much more would have been collected if all the tickets were sold?
|
$10 |
$7 |
Comparing $10 and $7 tickets at first |
12x7 = 84 u |
5x7 = 35 u |
Before |
7x12 = 84 u |
|
Change |
- 3x12 = - 36 u |
- 35 u |
After |
4x12 = 48 u |
0 u |
The number of 10 tickets at first is repeated. Make the number of 10 tickets the same. LCM of 7 and 12 is 84.
2
25 =
125 Number of $10 tickets : $7 tickets = 12 : 5
|
$10 |
$7 |
Total |
Number |
36 u |
35 u |
|
Value |
$10 |
$7 |
|
Total value |
360 u |
245 u |
$7260 |
Total amount collected from the sale of the sold tickets
= 360 u + 245 u
= 605 u
1 u = 7260 ÷ 605 = 12
Number of $10-tickets left unsold
= 48 u
= 48 x 12
= 576
More amount to be collected if all the tickets were sold
= 576 x 10
= $5760
Answer(s): $5760