The park tickets are priced at $16 and $8. The number of $16-dollar tickets available is 1
23 that of the number of $8-dollar tickets. 3 out of 4 of the $16-dollar tickets and all the $8-dollar tickets were sold. The ticket sales amounted to $1344. How much more would have been collected if all the tickets were sold?
|
$16 |
$8 |
Comparing $16 and $8 tickets at first |
5x4 = 20 u |
3x4 = 12 u |
Before |
4x5 = 20 u |
|
Change |
- 3x5 = - 15 u |
- 12 u |
After |
1x5 = 5 u |
0 u |
The number of 16 tickets at first is repeated. Make the number of 16 tickets the same. LCM of 4 and 5 is 20.
1
23 =
53 Number of $16 tickets : $8 tickets = 5 : 3
|
$16 |
$8 |
Total |
Number |
15 u |
12 u |
|
Value |
$16 |
$8 |
|
Total value |
240 u |
96 u |
$1344 |
Total amount collected from the sale of the sold tickets
= 240 u + 96 u
= 336 u
1 u = 1344 ÷ 336 = 4
Number of $16-tickets left unsold
= 5 u
= 5 x 4
= 20
More amount to be collected if all the tickets were sold
= 20 x 16
= $320
Answer(s): $320