The stadium tickets are priced at $18 and $15. The number of $18-dollar tickets available is 1
34 that of the number of $15-dollar tickets. 3 out of 4 of the $18-dollar tickets and all the $15-dollar tickets were sold. The ticket sales amounted to $6180. How much more would have been collected if all the tickets were sold?
|
$18 |
$15 |
Comparing $18 and $15 tickets at first |
7x4 = 28 u |
4x4 = 16 u |
Before |
4x7 = 28 u |
|
Change |
- 3x7 = - 21 u |
- 16 u |
After |
1x7 = 7 u |
0 u |
The number of 18 tickets at first is repeated. Make the number of 18 tickets the same. LCM of 4 and 7 is 28.
1
34 =
74 Number of $18 tickets : $15 tickets = 7 : 4
|
$18 |
$15 |
Total |
Number |
21 u |
16 u |
|
Value |
$18 |
$15 |
|
Total value |
378 u |
240 u |
$6180 |
Total amount collected from the sale of the sold tickets
= 378 u + 240 u
= 618 u
1 u = 6180 ÷ 618 = 10
Number of $18-tickets left unsold
= 7 u
= 7 x 10
= 70
More amount to be collected if all the tickets were sold
= 70 x 18
= $1260
Answer(s): $1260