The tourist attraction tickets are priced at $25 and $18. The number of $25-dollar tickets available is 2
34 that of the number of $18-dollar tickets. 2 out of 3 of the $25-dollar tickets and all the $18-dollar tickets were sold. The ticket sales amounted to $1532. How much more would have been collected if all the tickets were sold?
|
$25 |
$18 |
Comparing $25 and $18 tickets at first |
11x3 = 33 u |
4x3 = 12 u |
Before |
3x11 = 33 u |
|
Change |
- 2x11 = - 22 u |
- 12 u |
After |
1x11 = 11 u |
0 u |
The number of 25 tickets at first is repeated. Make the number of 25 tickets the same. LCM of 3 and 11 is 33.
2
34 =
114 Number of $25 tickets : $18 tickets = 11 : 4
|
$25 |
$18 |
Total |
Number |
22 u |
12 u |
|
Value |
$25 |
$18 |
|
Total value |
550 u |
216 u |
$1532 |
Total amount collected from the sale of the sold tickets
= 550 u + 216 u
= 766 u
1 u = 1532 ÷ 766 = 2
Number of $25-tickets left unsold
= 11 u
= 11 x 2
= 22
More amount to be collected if all the tickets were sold
= 22 x 25
= $550
Answer(s): $550