The theme park tickets are priced at $19 and $15.  The number of $19-dollar tickets available is  1⁵₆ that of the number of $15-dollar tickets. 3 out of 4 of the $19-dollar tickets and all the $15-dollar tickets were sold. The ticket sales amounted to $6909. How much more would have been collected if all the tickets were sold?

	$19	$15
Comparing $19 and $15 tickets at first	11x4 = 44 u	6x4 = 24 u
Before	4x11 = 44 u
Change	- 3x11 = - 33 u	- 24 u
After	1x11 = 11 u	0 u

The number of 19 tickets at first is repeated.  Make the number of 19 tickets the same.  LCM of 4 and 11 is 44.

1⁵₆ = ¹¹₆

Number of $19 tickets : $15 tickets = 11 : 6

	$19	$15	Total
Number	33 u	24 u
Value	$19	$15
Total value	627 u	360 u	$6909

Total amount collected from the sale of the sold tickets
= 627 u + 360 u
= 987 u

1 u = 6909 ÷ 987 = 7

Number of $19-tickets left unsold
= 11 u 
= 11 x 7
= 77

More amount to be collected if all the tickets were sold
= 77 x 19
= $1463

Answer(s): $1463