The museum tickets are priced at $15 and $13. The number of $15-dollar tickets available is 2
12 that of the number of $13-dollar tickets. 3 out of 7 of the $15-dollar tickets and all the $13-dollar tickets were sold. The ticket sales amounted to $1221. How much more would have been collected if all the tickets were sold?
|
$15 |
$13 |
Comparing $15 and $13 tickets at first |
5x7 = 35 u |
2x7 = 14 u |
Before |
7x5 = 35 u |
|
Change |
- 3x5 = - 15 u |
- 14 u |
After |
4x5 = 20 u |
0 u |
The number of 15 tickets at first is repeated. Make the number of 15 tickets the same. LCM of 7 and 5 is 35.
2
12 =
52 Number of $15 tickets : $13 tickets = 5 : 2
|
$15 |
$13 |
Total |
Number |
15 u |
14 u |
|
Value |
$15 |
$13 |
|
Total value |
225 u |
182 u |
$1221 |
Total amount collected from the sale of the sold tickets
= 225 u + 182 u
= 407 u
1 u = 1221 ÷ 407 = 3
Number of $15-tickets left unsold
= 20 u
= 20 x 3
= 60
More amount to be collected if all the tickets were sold
= 60 x 15
= $900
Answer(s): $900