The museum tickets are priced at $21 and $17. The number of $21-dollar tickets available is 2
25 that of the number of $17-dollar tickets. 2 out of 5 of the $21-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $1858. How much more would have been collected if all the tickets were sold?
|
$21 |
$17 |
Comparing $21 and $17 tickets at first |
12x5 = 60 u |
5x5 = 25 u |
Before |
5x12 = 60 u |
|
Change |
- 2x12 = - 24 u |
- 25 u |
After |
3x12 = 36 u |
0 u |
The number of 21 tickets at first is repeated. Make the number of 21 tickets the same. LCM of 5 and 12 is 60.
2
25 =
125 Number of $21 tickets : $17 tickets = 12 : 5
|
$21 |
$17 |
Total |
Number |
24 u |
25 u |
|
Value |
$21 |
$17 |
|
Total value |
504 u |
425 u |
$1858 |
Total amount collected from the sale of the sold tickets
= 504 u + 425 u
= 929 u
1 u = 1858 ÷ 929 = 2
Number of $21-tickets left unsold
= 36 u
= 36 x 2
= 72
More amount to be collected if all the tickets were sold
= 72 x 21
= $1512
Answer(s): $1512