The concert hall tickets are priced at $16 and $11.  The number of $16-dollar tickets available is  1¹₂ that of the number of $11-dollar tickets. 3 out of 7 of the $16-dollar tickets and all the $11-dollar tickets were sold. The ticket sales amounted to $3576. How much more would have been collected if all the tickets were sold?

	$16	$11
Comparing $16 and $11 tickets at first	3x7 = 21 u	2x7 = 14 u
Before	7x3 = 21 u
Change	- 3x3 = - 9 u	- 14 u
After	4x3 = 12 u	0 u

The number of 16 tickets at first is repeated.  Make the number of 16 tickets the same.  LCM of 7 and 3 is 21.

1¹₂ = ³₂

Number of $16 tickets : $11 tickets = 3 : 2

	$16	$11	Total
Number	9 u	14 u
Value	$16	$11
Total value	144 u	154 u	$3576

Total amount collected from the sale of the sold tickets
= 144 u + 154 u
= 298 u

1 u = 3576 ÷ 298 = 12

Number of $16-tickets left unsold
= 12 u 
= 12 x 12
= 144

More amount to be collected if all the tickets were sold
= 144 x 16
= $2304

Answer(s): $2304