The park tickets are priced at $23 and $16.  The number of $23-dollar tickets available is  2³₅ that of the number of $16-dollar tickets. 2 out of 3 of the $23-dollar tickets and all the $16-dollar tickets were sold. The ticket sales amounted to $1676. How much more would have been collected if all the tickets were sold?

	$23	$16
Comparing $23 and $16 tickets at first	13x3 = 39 u	5x3 = 15 u
Before	3x13 = 39 u
Change	- 2x13 = - 26 u	- 15 u
After	1x13 = 13 u	0 u

The number of 23 tickets at first is repeated.  Make the number of 23 tickets the same.  LCM of 3 and 13 is 39.

2³₅ = ¹³₅

Number of $23 tickets : $16 tickets = 13 : 5

	$23	$16	Total
Number	26 u	15 u
Value	$23	$16
Total value	598 u	240 u	$1676

Total amount collected from the sale of the sold tickets
= 598 u + 240 u
= 838 u

1 u = 1676 ÷ 838 = 2

Number of $23-tickets left unsold
= 13 u 
= 13 x 2
= 26

More amount to be collected if all the tickets were sold
= 26 x 23
= $598

Answer(s): $598