The theme park tickets are priced at $27 and $17.  The number of $27-dollar tickets available is  2⁴₅ that of the number of $17-dollar tickets. 2 out of 5 of the $27-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $12991. How much more would have been collected if all the tickets were sold?

	$27	$17
Comparing $27 and $17 tickets at first	14x5 = 70 u	5x5 = 25 u
Before	5x14 = 70 u
Change	- 2x14 = - 28 u	- 25 u
After	3x14 = 42 u	0 u

The number of 27 tickets at first is repeated.  Make the number of 27 tickets the same.  LCM of 5 and 14 is 70.

2⁴₅ = ¹⁴₅

Number of $27 tickets : $17 tickets = 14 : 5

	$27	$17	Total
Number	28 u	25 u
Value	$27	$17
Total value	756 u	425 u	$12991

Total amount collected from the sale of the sold tickets
= 756 u + 425 u
= 1181 u

1 u = 12991 ÷ 1181 = 11

Number of $27-tickets left unsold
= 42 u 
= 42 x 11
= 462

More amount to be collected if all the tickets were sold
= 462 x 27
= $12474

Answer(s): $12474