The museum tickets are priced at $19 and $17. The number of $19-dollar tickets available is 1
12 that of the number of $17-dollar tickets. 3 out of 4 of the $19-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $921. How much more would have been collected if all the tickets were sold?
|
$19 |
$17 |
Comparing $19 and $17 tickets at first |
3x4 = 12 u |
2x4 = 8 u |
Before |
4x3 = 12 u |
|
Change |
- 3x3 = - 9 u |
- 8 u |
After |
1x3 = 3 u |
0 u |
The number of 19 tickets at first is repeated. Make the number of 19 tickets the same. LCM of 4 and 3 is 12.
1
12 =
32 Number of $19 tickets : $17 tickets = 3 : 2
|
$19 |
$17 |
Total |
Number |
9 u |
8 u |
|
Value |
$19 |
$17 |
|
Total value |
171 u |
136 u |
$921 |
Total amount collected from the sale of the sold tickets
= 171 u + 136 u
= 307 u
1 u = 921 ÷ 307 = 3
Number of $19-tickets left unsold
= 3 u
= 3 x 3
= 9
More amount to be collected if all the tickets were sold
= 9 x 19
= $171
Answer(s): $171