The bird park tickets are priced at $16 and $10. The number of $16-dollar tickets available is 2
34 that of the number of $10-dollar tickets. 2 out of 3 of the $16-dollar tickets and all the $10-dollar tickets were sold. The ticket sales amounted to $1888. How much more would have been collected if all the tickets were sold?
|
$16 |
$10 |
Comparing $16 and $10 tickets at first |
11x3 = 33 u |
4x3 = 12 u |
Before |
3x11 = 33 u |
|
Change |
- 2x11 = - 22 u |
- 12 u |
After |
1x11 = 11 u |
0 u |
The number of 16 tickets at first is repeated. Make the number of 16 tickets the same. LCM of 3 and 11 is 33.
2
34 =
114 Number of $16 tickets : $10 tickets = 11 : 4
|
$16 |
$10 |
Total |
Number |
22 u |
12 u |
|
Value |
$16 |
$10 |
|
Total value |
352 u |
120 u |
$1888 |
Total amount collected from the sale of the sold tickets
= 352 u + 120 u
= 472 u
1 u = 1888 ÷ 472 = 4
Number of $16-tickets left unsold
= 11 u
= 11 x 4
= 44
More amount to be collected if all the tickets were sold
= 44 x 16
= $704
Answer(s): $704