The theme park tickets are priced at $16 and $8.  The number of $16-dollar tickets available is  2³₄ that of the number of $8-dollar tickets. 3 out of 5 of the $16-dollar tickets and all the $8-dollar tickets were sold. The ticket sales amounted to $6880. How much more would have been collected if all the tickets were sold?

	$16	$8
Comparing $16 and $8 tickets at first	11x5 = 55 u	4x5 = 20 u
Before	5x11 = 55 u
Change	- 3x11 = - 33 u	- 20 u
After	2x11 = 22 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 : $8 tickets = 11 : 4

	$16	$8	Total
Number	33 u	20 u
Value	$16	$8
Total value	528 u	160 u	$6880

Total amount collected from the sale of the sold tickets
= 528 u + 160 u
= 688 u

1 u = 6880 ÷ 688 = 10

Number of $16-tickets left unsold
= 22 u 
= 22 x 10
= 220

More amount to be collected if all the tickets were sold
= 220 x 16
= $3520

Answer(s): $3520