The park tickets are priced at $8 and $5. The number of $8-dollar tickets available is 1
35 that of the number of $5-dollar tickets. 2 out of 5 of the $8-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $506. How much more would have been collected if all the tickets were sold?
|
$8 |
$5 |
Comparing $8 and $5 tickets at first |
8x5 = 40 u |
5x5 = 25 u |
Before |
5x8 = 40 u |
|
Change |
- 2x8 = - 16 u |
- 25 u |
After |
3x8 = 24 u |
0 u |
The number of 8 tickets at first is repeated. Make the number of 8 tickets the same. LCM of 5 and 8 is 40.
1
35 =
85 Number of $8 tickets : $5 tickets = 8 : 5
|
$8 |
$5 |
Total |
Number |
16 u |
25 u |
|
Value |
$8 |
$5 |
|
Total value |
128 u |
125 u |
$506 |
Total amount collected from the sale of the sold tickets
= 128 u + 125 u
= 253 u
1 u = 506 ÷ 253 = 2
Number of $8-tickets left unsold
= 24 u
= 24 x 2
= 48
More amount to be collected if all the tickets were sold
= 48 x 8
= $384
Answer(s): $384