The park tickets are priced at $14 and $5. The number of $14-dollar tickets available is 2
12 that of the number of $5-dollar tickets. 3 out of 7 of the $14-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $1120. How much more would have been collected if all the tickets were sold?
|
$14 |
$5 |
Comparing $14 and $5 tickets at first |
5x7 = 35 u |
2x7 = 14 u |
Before |
7x5 = 35 u |
|
Change |
- 3x5 = - 15 u |
- 14 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.
2
12 =
52 Number of $14 tickets : $5 tickets = 5 : 2
|
$14 |
$5 |
Total |
Number |
15 u |
14 u |
|
Value |
$14 |
$5 |
|
Total value |
210 u |
70 u |
$1120 |
Total amount collected from the sale of the sold tickets
= 210 u + 70 u
= 280 u
1 u = 1120 ÷ 280 = 4
Number of $14-tickets left unsold
= 20 u
= 20 x 4
= 80
More amount to be collected if all the tickets were sold
= 80 x 14
= $1120
Answer(s): $1120