The bird park tickets are priced at $29 and $20. The number of $29-dollar tickets available is 2
14 that of the number of $20-dollar tickets. 3 out of 4 of the $29-dollar tickets and all the $20-dollar tickets were sold. The ticket sales amounted to $11030. How much more would have been collected if all the tickets were sold?
|
$29 |
$20 |
Comparing $29 and $20 tickets at first |
9x4 = 36 u |
4x4 = 16 u |
Before |
4x9 = 36 u |
|
Change |
- 3x9 = - 27 u |
- 16 u |
After |
1x9 = 9 u |
0 u |
The number of 29 tickets at first is repeated. Make the number of 29 tickets the same. LCM of 4 and 9 is 36.
2
14 =
94 Number of $29 tickets : $20 tickets = 9 : 4
|
$29 |
$20 |
Total |
Number |
27 u |
16 u |
|
Value |
$29 |
$20 |
|
Total value |
783 u |
320 u |
$11030 |
Total amount collected from the sale of the sold tickets
= 783 u + 320 u
= 1103 u
1 u = 11030 ÷ 1103 = 10
Number of $29-tickets left unsold
= 9 u
= 9 x 10
= 90
More amount to be collected if all the tickets were sold
= 90 x 29
= $2610
Answer(s): $2610