The theme park tickets are priced at $16 and $11.  The number of $16-dollar tickets available is  2³₄ that of the number of $11-dollar tickets. 2 out of 5 of the $16-dollar tickets and all the $11-dollar tickets were sold. The ticket sales amounted to $3432. How much more would have been collected if all the tickets were sold?

	$16	$11
Comparing $16 and $11 tickets at first	11x5 = 55 u	4x5 = 20 u
Before	5x11 = 55 u
Change	- 2x11 = - 22 u	- 20 u
After	3x11 = 33 u	0 u

The number of 16 tickets at first is repeated.  Make the number of 16 tickets the same.  LCM of 5 and 11 is 55.

2³₄ = ¹¹₄

Number of $16 tickets : $11 tickets = 11 : 4

	$16	$11	Total
Number	22 u	20 u
Value	$16	$11
Total value	352 u	220 u	$3432

Total amount collected from the sale of the sold tickets
= 352 u + 220 u
= 572 u

1 u = 3432 ÷ 572 = 6

Number of $16-tickets left unsold
= 33 u 
= 33 x 6
= 198

More amount to be collected if all the tickets were sold
= 198 x 16
= $3168

Answer(s): $3168