The bird park tickets are priced at $11 and $5. The number of $11-dollar tickets available is 1
16 that of the number of $5-dollar tickets. 2 out of 3 of the $11-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $1220. How much more would have been collected if all the tickets were sold?
|
$11 |
$5 |
Comparing $11 and $5 tickets at first |
7x3 = 21 u |
6x3 = 18 u |
Before |
3x7 = 21 u |
|
Change |
- 2x7 = - 14 u |
- 18 u |
After |
1x7 = 7 u |
0 u |
The number of 11 tickets at first is repeated. Make the number of 11 tickets the same. LCM of 3 and 7 is 21.
1
16 =
76 Number of $11 tickets : $5 tickets = 7 : 6
|
$11 |
$5 |
Total |
Number |
14 u |
18 u |
|
Value |
$11 |
$5 |
|
Total value |
154 u |
90 u |
$1220 |
Total amount collected from the sale of the sold tickets
= 154 u + 90 u
= 244 u
1 u = 1220 ÷ 244 = 5
Number of $11-tickets left unsold
= 7 u
= 7 x 5
= 35
More amount to be collected if all the tickets were sold
= 35 x 11
= $385
Answer(s): $385