The theme park tickets are priced at $19 and $14.  The number of $19-dollar tickets available is  2¹₃ that of the number of $14-dollar tickets. 3 out of 4 of the $19-dollar tickets and all the $14-dollar tickets were sold. The ticket sales amounted to $6804. How much more would have been collected if all the tickets were sold?

	$19	$14
Comparing $19 and $14 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 19 tickets at first is repeated.  Make the number of 19 tickets the same.  LCM of 4 and 7 is 28.

2¹₃ = ⁷₃

Number of $19 tickets : $14 tickets = 7 : 3

	$19	$14	Total
Number	21 u	12 u
Value	$19	$14
Total value	399 u	168 u	$6804

Total amount collected from the sale of the sold tickets
= 399 u + 168 u
= 567 u

1 u = 6804 ÷ 567 = 12

Number of $19-tickets left unsold
= 7 u 
= 7 x 12
= 84

More amount to be collected if all the tickets were sold
= 84 x 19
= $1596

Answer(s): $1596