The tourist attraction tickets are priced at $25 and $19. The number of $25-dollar tickets available is 1
35 that of the number of $19-dollar tickets. 2 out of 5 of the $25-dollar tickets and all the $19-dollar tickets were sold. The ticket sales amounted to $7000. How much more would have been collected if all the tickets were sold?
|
$25 |
$19 |
Comparing $25 and $19 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 25 tickets at first is repeated. Make the number of 25 tickets the same. LCM of 5 and 8 is 40.
1
35 =
85 Number of $25 tickets : $19 tickets = 8 : 5
|
$25 |
$19 |
Total |
Number |
16 u |
25 u |
|
Value |
$25 |
$19 |
|
Total value |
400 u |
475 u |
$7000 |
Total amount collected from the sale of the sold tickets
= 400 u + 475 u
= 875 u
1 u = 7000 ÷ 875 = 8
Number of $25-tickets left unsold
= 24 u
= 24 x 8
= 192
More amount to be collected if all the tickets were sold
= 192 x 25
= $4800
Answer(s): $4800