The tourist attraction tickets are priced at $13 and $5.  The number of $13-dollar tickets available is  2¹₆ that of the number of $5-dollar tickets. 3 out of 4 of the $13-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $6270. How much more would have been collected if all the tickets were sold?

	$13	$5
Comparing $13 and $5 tickets at first	13x4 = 52 u	6x4 = 24 u
Before	4x13 = 52 u
Change	- 3x13 = - 39 u	- 24 u
After	1x13 = 13 u	0 u

The number of 13 tickets at first is repeated.  Make the number of 13 tickets the same.  LCM of 4 and 13 is 52.

2¹₆ = ¹³₆

Number of $13 tickets : $5 tickets = 13 : 6

	$13	$5	Total
Number	39 u	24 u
Value	$13	$5
Total value	507 u	120 u	$6270

Total amount collected from the sale of the sold tickets
= 507 u + 120 u
= 627 u

1 u = 6270 ÷ 627 = 10

Number of $13-tickets left unsold
= 13 u 
= 13 x 10
= 130

More amount to be collected if all the tickets were sold
= 130 x 13
= $1690

Answer(s): $1690