The museum tickets are priced at $27 and $18.  The number of $27-dollar tickets available is  2²₃ that of the number of $18-dollar tickets. 3 out of 5 of the $27-dollar tickets and all the $18-dollar tickets were sold. The ticket sales amounted to $11016. How much more would have been collected if all the tickets were sold?

	$27	$18
Comparing $27 and $18 tickets at first	8x5 = 40 u	3x5 = 15 u
Before	5x8 = 40 u
Change	- 3x8 = - 24 u	- 15 u
After	2x8 = 16 u	0 u

The number of 27 tickets at first is repeated.  Make the number of 27 tickets the same.  LCM of 5 and 8 is 40.

2²₃ = ⁸₃

Number of $27 tickets : $18 tickets = 8 : 3

	$27	$18	Total
Number	24 u	15 u
Value	$27	$18
Total value	648 u	270 u	$11016

Total amount collected from the sale of the sold tickets
= 648 u + 270 u
= 918 u

1 u = 11016 ÷ 918 = 12

Number of $27-tickets left unsold
= 16 u 
= 16 x 12
= 192

More amount to be collected if all the tickets were sold
= 192 x 27
= $5184

Answer(s): $5184