The theme park tickets are priced at $22 and $12.  The number of $22-dollar tickets available is  1¹₃ that of the number of $12-dollar tickets. 3 out of 5 of the $22-dollar tickets and all the $12-dollar tickets were sold. The ticket sales amounted to $3552. How much more would have been collected if all the tickets were sold?

	$22	$12
Comparing $22 and $12 tickets at first	4x5 = 20 u	3x5 = 15 u
Before	5x4 = 20 u
Change	- 3x4 = - 12 u	- 15 u
After	2x4 = 8 u	0 u

The number of 22 tickets at first is repeated.  Make the number of 22 tickets the same.  LCM of 5 and 4 is 20.

1¹₃ = ⁴₃

Number of $22 tickets : $12 tickets = 4 : 3

	$22	$12	Total
Number	12 u	15 u
Value	$22	$12
Total value	264 u	180 u	$3552

Total amount collected from the sale of the sold tickets
= 264 u + 180 u
= 444 u

1 u = 3552 ÷ 444 = 8

Number of $22-tickets left unsold
= 8 u 
= 8 x 8
= 64

More amount to be collected if all the tickets were sold
= 64 x 22
= $1408

Answer(s): $1408