The theme park tickets are priced at $14 and $9. The number of $14-dollar tickets available is 1
23 that of the number of $9-dollar tickets. 3 out of 7 of the $14-dollar tickets and all the $9-dollar tickets were sold. The ticket sales amounted to $2793. How much more would have been collected if all the tickets were sold?
|
$14 |
$9 |
Comparing $14 and $9 tickets at first |
5x7 = 35 u |
3x7 = 21 u |
Before |
7x5 = 35 u |
|
Change |
- 3x5 = - 15 u |
- 21 u |
After |
4x5 = 20 u |
0 u |
The number of 14 tickets at first is repeated. Make the number of 14 tickets the same. LCM of 7 and 5 is 35.
1
23 =
53 Number of $14 tickets : $9 tickets = 5 : 3
|
$14 |
$9 |
Total |
Number |
15 u |
21 u |
|
Value |
$14 |
$9 |
|
Total value |
210 u |
189 u |
$2793 |
Total amount collected from the sale of the sold tickets
= 210 u + 189 u
= 399 u
1 u = 2793 ÷ 399 = 7
Number of $14-tickets left unsold
= 20 u
= 20 x 7
= 140
More amount to be collected if all the tickets were sold
= 140 x 14
= $1960
Answer(s): $1960