The theme park tickets are priced at $22 and $17.  The number of $22-dollar tickets available is  1⁵₆ that of the number of $17-dollar tickets. 3 out of 5 of the $22-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $13596. How much more would have been collected if all the tickets were sold?

	$22	$17
Comparing $22 and $17 tickets at first	11x5 = 55 u	6x5 = 30 u
Before	5x11 = 55 u
Change	- 3x11 = - 33 u	- 30 u
After	2x11 = 22 u	0 u

The number of 22 tickets at first is repeated.  Make the number of 22 tickets the same.  LCM of 5 and 11 is 55.

1⁵₆ = ¹¹₆

Number of $22 tickets : $17 tickets = 11 : 6

	$22	$17	Total
Number	33 u	30 u
Value	$22	$17
Total value	726 u	510 u	$13596

Total amount collected from the sale of the sold tickets
= 726 u + 510 u
= 1236 u

1 u = 13596 ÷ 1236 = 11

Number of $22-tickets left unsold
= 22 u 
= 22 x 11
= 242

More amount to be collected if all the tickets were sold
= 242 x 22
= $5324

Answer(s): $5324