The zoo tickets are priced at $19 and $10. The number of $19-dollar tickets available is 2
34 that of the number of $10-dollar tickets. 3 out of 5 of the $19-dollar tickets and all the $10-dollar tickets were sold. The ticket sales amounted to $1654. How much more would have been collected if all the tickets were sold?
|
$19 |
$10 |
Comparing $19 and $10 tickets at first |
11x5 = 55 u |
4x5 = 20 u |
Before |
5x11 = 55 u |
|
Change |
- 3x11 = - 33 u |
- 20 u |
After |
2x11 = 22 u |
0 u |
The number of 19 tickets at first is repeated. Make the number of 19 tickets the same. LCM of 5 and 11 is 55.
2
34 =
114 Number of $19 tickets : $10 tickets = 11 : 4
|
$19 |
$10 |
Total |
Number |
33 u |
20 u |
|
Value |
$19 |
$10 |
|
Total value |
627 u |
200 u |
$1654 |
Total amount collected from the sale of the sold tickets
= 627 u + 200 u
= 827 u
1 u = 1654 ÷ 827 = 2
Number of $19-tickets left unsold
= 22 u
= 22 x 2
= 44
More amount to be collected if all the tickets were sold
= 44 x 19
= $836
Answer(s): $836