The zoo 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 7 of the $29-dollar tickets and all the $20-dollar tickets were sold. The ticket sales amounted to $10744. How much more would have been collected if all the tickets were sold?
|
$29 |
$20 |
Comparing $29 and $20 tickets at first |
9x7 = 63 u |
4x7 = 28 u |
Before |
7x9 = 63 u |
|
Change |
- 3x9 = - 27 u |
- 28 u |
After |
4x9 = 36 u |
0 u |
The number of 29 tickets at first is repeated. Make the number of 29 tickets the same. LCM of 7 and 9 is 63.
2
14 =
94 Number of $29 tickets : $20 tickets = 9 : 4
|
$29 |
$20 |
Total |
Number |
27 u |
28 u |
|
Value |
$29 |
$20 |
|
Total value |
783 u |
560 u |
$10744 |
Total amount collected from the sale of the sold tickets
= 783 u + 560 u
= 1343 u
1 u = 10744 ÷ 1343 = 8
Number of $29-tickets left unsold
= 36 u
= 36 x 8
= 288
More amount to be collected if all the tickets were sold
= 288 x 29
= $8352
Answer(s): $8352