The bird park tickets are priced at $16 and $14.  The number of $16-dollar tickets available is  2²₃ that of the number of $14-dollar tickets. 3 out of 7 of the $16-dollar tickets and all the $14-dollar tickets were sold. The ticket sales amounted to $1356. How much more would have been collected if all the tickets were sold?

	$16	$14
Comparing $16 and $14 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 16 tickets at first is repeated.  Make the number of 16 tickets the same.  LCM of 7 and 8 is 56.

2²₃ = ⁸₃

Number of $16 tickets : $14 tickets = 8 : 3

	$16	$14	Total
Number	24 u	21 u
Value	$16	$14
Total value	384 u	294 u	$1356

Total amount collected from the sale of the sold tickets
= 384 u + 294 u
= 678 u

1 u = 1356 ÷ 678 = 2

Number of $16-tickets left unsold
= 32 u 
= 32 x 2
= 64

More amount to be collected if all the tickets were sold
= 64 x 16
= $1024

Answer(s): $1024