The tourist attraction tickets are priced at $13 and $5. The number of $13-dollar tickets available is 2
13 that of the number of $5-dollar tickets. 3 out of 4 of the $13-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $1998. How much more would have been collected if all the tickets were sold?
|
$13 |
$5 |
Comparing $13 and $5 tickets at first |
7x4 = 28 u |
3x4 = 12 u |
Before |
4x7 = 28 u |
|
Change |
- 3x7 = - 21 u |
- 12 u |
After |
1x7 = 7 u |
0 u |
The number of 13 tickets at first is repeated. Make the number of 13 tickets the same. LCM of 4 and 7 is 28.
2
13 =
73 Number of $13 tickets : $5 tickets = 7 : 3
|
$13 |
$5 |
Total |
Number |
21 u |
12 u |
|
Value |
$13 |
$5 |
|
Total value |
273 u |
60 u |
$1998 |
Total amount collected from the sale of the sold tickets
= 273 u + 60 u
= 333 u
1 u = 1998 ÷ 333 = 6
Number of $13-tickets left unsold
= 7 u
= 7 x 6
= 42
More amount to be collected if all the tickets were sold
= 42 x 13
= $546
Answer(s): $546