The theme park tickets are priced at $19 and $17.  The number of $19-dollar tickets available is  1³₅ that of the number of $17-dollar tickets. 3 out of 5 of the $19-dollar tickets and all the $17-dollar tickets were sold. The ticket sales amounted to $1762. How much more would have been collected if all the tickets were sold?

	$19	$17
Comparing $19 and $17 tickets at first	8x5 = 40 u	5x5 = 25 u
Before	5x8 = 40 u
Change	- 3x8 = - 24 u	- 25 u
After	2x8 = 16 u	0 u

The number of 19 tickets at first is repeated.  Make the number of 19 tickets the same.  LCM of 5 and 8 is 40.

1³₅ = ⁸₅

Number of $19 tickets : $17 tickets = 8 : 5

	$19	$17	Total
Number	24 u	25 u
Value	$19	$17
Total value	456 u	425 u	$1762

Total amount collected from the sale of the sold tickets
= 456 u + 425 u
= 881 u

1 u = 1762 ÷ 881 = 2

Number of $19-tickets left unsold
= 16 u 
= 16 x 2
= 32

More amount to be collected if all the tickets were sold
= 32 x 19
= $608

Answer(s): $608