The park tickets are priced at $23 and $16.  The number of $23-dollar tickets available is  2²₃ that of the number of $16-dollar tickets. 3 out of 7 of the $23-dollar tickets and all the $16-dollar tickets were sold. The ticket sales amounted to $7104. How much more would have been collected if all the tickets were sold?

	$23	$16
Comparing $23 and $16 tickets at first	8x7 = 56 u	3x7 = 21 u
Before	7x8 = 56 u
Change	- 3x8 = - 24 u	- 21 u
After	4x8 = 32 u	0 u

The number of 23 tickets at first is repeated.  Make the number of 23 tickets the same.  LCM of 7 and 8 is 56.

2²₃ = ⁸₃

Number of $23 tickets : $16 tickets = 8 : 3

	$23	$16	Total
Number	24 u	21 u
Value	$23	$16
Total value	552 u	336 u	$7104

Total amount collected from the sale of the sold tickets
= 552 u + 336 u
= 888 u

1 u = 7104 ÷ 888 = 8

Number of $23-tickets left unsold
= 32 u 
= 32 x 8
= 256

More amount to be collected if all the tickets were sold
= 256 x 23
= $5888

Answer(s): $5888