The stadium tickets are priced at $14 and $8. The number of $14-dollar tickets available is 1
14 that of the number of $8-dollar tickets. 3 out of 7 of the $14-dollar tickets and all the $8-dollar tickets were sold. The ticket sales amounted to $2604. How much more would have been collected if all the tickets were sold?
|
$14 |
$8 |
Comparing $14 and $8 tickets at first |
5x7 = 35 u |
4x7 = 28 u |
Before |
7x5 = 35 u |
|
Change |
- 3x5 = - 15 u |
- 28 u |
After |
4x5 = 20 u |
0 u |
The number of 14 tickets at first is repeated. Make the number of 14 tickets the same. LCM of 7 and 5 is 35.
1
14 =
54 Number of $14 tickets : $8 tickets = 5 : 4
|
$14 |
$8 |
Total |
Number |
15 u |
28 u |
|
Value |
$14 |
$8 |
|
Total value |
210 u |
224 u |
$2604 |
Total amount collected from the sale of the sold tickets
= 210 u + 224 u
= 434 u
1 u = 2604 ÷ 434 = 6
Number of $14-tickets left unsold
= 20 u
= 20 x 6
= 120
More amount to be collected if all the tickets were sold
= 120 x 14
= $1680
Answer(s): $1680