The museum tickets are priced at $27 and $19.  The number of $27-dollar tickets available is  2¹₃ that of the number of $19-dollar tickets. 3 out of 4 of the $27-dollar tickets and all the $19-dollar tickets were sold. The ticket sales amounted to $4770. How much more would have been collected if all the tickets were sold?

	$27	$19
Comparing $27 and $19 tickets at first	7x4 = 28 u	3x4 = 12 u
Before	4x7 = 28 u
Change	- 3x7 = - 21 u	- 12 u
After	1x7 = 7 u	0 u

The number of 27 tickets at first is repeated.  Make the number of 27 tickets the same.  LCM of 4 and 7 is 28.

2¹₃ = ⁷₃

Number of $27 tickets : $19 tickets = 7 : 3

	$27	$19	Total
Number	21 u	12 u
Value	$27	$19
Total value	567 u	228 u	$4770

Total amount collected from the sale of the sold tickets
= 567 u + 228 u
= 795 u

1 u = 4770 ÷ 795 = 6

Number of $27-tickets left unsold
= 7 u 
= 7 x 6
= 42

More amount to be collected if all the tickets were sold
= 42 x 27
= $1134

Answer(s): $1134