The museum tickets are priced at $16 and $7.  The number of $16-dollar tickets available is  1⁵₆ that of the number of $7-dollar tickets. 2 out of 3 of the $16-dollar tickets and all the $7-dollar tickets were sold. The ticket sales amounted to $3824. How much more would have been collected if all the tickets were sold?

	$16	$7
Comparing $16 and $7 tickets at first	11x3 = 33 u	6x3 = 18 u
Before	3x11 = 33 u
Change	- 2x11 = - 22 u	- 18 u
After	1x11 = 11 u	0 u

The number of 16 tickets at first is repeated.  Make the number of 16 tickets the same.  LCM of 3 and 11 is 33.

1⁵₆ = ¹¹₆

Number of $16 tickets : $7 tickets = 11 : 6

	$16	$7	Total
Number	22 u	18 u
Value	$16	$7
Total value	352 u	126 u	$3824

Total amount collected from the sale of the sold tickets
= 352 u + 126 u
= 478 u

1 u = 3824 ÷ 478 = 8

Number of $16-tickets left unsold
= 11 u 
= 11 x 8
= 88

More amount to be collected if all the tickets were sold
= 88 x 16
= $1408

Answer(s): $1408