The concert hall tickets are priced at $19 and $11.  The number of $19-dollar tickets available is  1¹₂ that of the number of $11-dollar tickets. 2 out of 5 of the $19-dollar tickets and all the $11-dollar tickets were sold. The ticket sales amounted to $1792. How much more would have been collected if all the tickets were sold?

	$19	$11
Comparing $19 and $11 tickets at first	3x5 = 15 u	2x5 = 10 u
Before	5x3 = 15 u
Change	- 2x3 = - 6 u	- 10 u
After	3x3 = 9 u	0 u

The number of 19 tickets at first is repeated.  Make the number of 19 tickets the same.  LCM of 5 and 3 is 15.

1¹₂ = ³₂

Number of $19 tickets : $11 tickets = 3 : 2

	$19	$11	Total
Number	6 u	10 u
Value	$19	$11
Total value	114 u	110 u	$1792

Total amount collected from the sale of the sold tickets
= 114 u + 110 u
= 224 u

1 u = 1792 ÷ 224 = 8

Number of $19-tickets left unsold
= 9 u 
= 9 x 8
= 72

More amount to be collected if all the tickets were sold
= 72 x 19
= $1368

Answer(s): $1368