The park tickets are priced at $14 and $7. The number of $14-dollar tickets available is 2
15 that of the number of $7-dollar tickets. 2 out of 5 of the $14-dollar tickets and all the $7-dollar tickets were sold. The ticket sales amounted to $3381. How much more would have been collected if all the tickets were sold?
|
$14 |
$7 |
Comparing $14 and $7 tickets at first |
11x5 = 55 u |
5x5 = 25 u |
Before |
5x11 = 55 u |
|
Change |
- 2x11 = - 22 u |
- 25 u |
After |
3x11 = 33 u |
0 u |
The number of 14 tickets at first is repeated. Make the number of 14 tickets the same. LCM of 5 and 11 is 55.
2
15 =
115 Number of $14 tickets : $7 tickets = 11 : 5
|
$14 |
$7 |
Total |
Number |
22 u |
25 u |
|
Value |
$14 |
$7 |
|
Total value |
308 u |
175 u |
$3381 |
Total amount collected from the sale of the sold tickets
= 308 u + 175 u
= 483 u
1 u = 3381 ÷ 483 = 7
Number of $14-tickets left unsold
= 33 u
= 33 x 7
= 231
More amount to be collected if all the tickets were sold
= 231 x 14
= $3234
Answer(s): $3234