The concert hall tickets are priced at $26 and $18. The number of $26-dollar tickets available is 1
34 that of the number of $18-dollar tickets. 2 out of 5 of the $26-dollar tickets and all the $18-dollar tickets were sold. The ticket sales amounted to $2172. How much more would have been collected if all the tickets were sold?
|
$26 |
$18 |
Comparing $26 and $18 tickets at first |
7x5 = 35 u |
4x5 = 20 u |
Before |
5x7 = 35 u |
|
Change |
- 2x7 = - 14 u |
- 20 u |
After |
3x7 = 21 u |
0 u |
The number of 26 tickets at first is repeated. Make the number of 26 tickets the same. LCM of 5 and 7 is 35.
1
34 =
74 Number of $26 tickets : $18 tickets = 7 : 4
|
$26 |
$18 |
Total |
Number |
14 u |
20 u |
|
Value |
$26 |
$18 |
|
Total value |
364 u |
360 u |
$2172 |
Total amount collected from the sale of the sold tickets
= 364 u + 360 u
= 724 u
1 u = 2172 ÷ 724 = 3
Number of $26-tickets left unsold
= 21 u
= 21 x 3
= 63
More amount to be collected if all the tickets were sold
= 63 x 26
= $1638
Answer(s): $1638