The park tickets are priced at $27 and $17.  The number of $27-dollar tickets available is  2¹₄ that of the number of $17-dollar tickets. 3 out of 4 of the $27-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $9009. How much more would have been collected if all the tickets were sold?

	$27	$17
Comparing $27 and $17 tickets at first	9x4 = 36 u	4x4 = 16 u
Before	4x9 = 36 u
Change	- 3x9 = - 27 u	- 16 u
After	1x9 = 9 u	0 u

The number of 27 tickets at first is repeated.  Make the number of 27 tickets the same.  LCM of 4 and 9 is 36.

2¹₄ = ⁹₄

Number of $27 tickets : $17 tickets = 9 : 4

	$27	$17	Total
Number	27 u	16 u
Value	$27	$17
Total value	729 u	272 u	$9009

Total amount collected from the sale of the sold tickets
= 729 u + 272 u
= 1001 u

1 u = 9009 ÷ 1001 = 9

Number of $27-tickets left unsold
= 9 u 
= 9 x 9
= 81

More amount to be collected if all the tickets were sold
= 81 x 27
= $2187

Answer(s): $2187