The tourist attraction tickets are priced at $17 and $9.  The number of $17-dollar tickets available is  2³₅ that of the number of $9-dollar tickets. 3 out of 7 of the $17-dollar tickets and all the $9-dollar tickets were sold. The ticket sales amounted to $10758. How much more would have been collected if all the tickets were sold?

	$17	$9
Comparing $17 and $9 tickets at first	13x7 = 91 u	5x7 = 35 u
Before	7x13 = 91 u
Change	- 3x13 = - 39 u	- 35 u
After	4x13 = 52 u	0 u

The number of 17 tickets at first is repeated.  Make the number of 17 tickets the same.  LCM of 7 and 13 is 91.

2³₅ = ¹³₅

Number of $17 tickets : $9 tickets = 13 : 5

	$17	$9	Total
Number	39 u	35 u
Value	$17	$9
Total value	663 u	315 u	$10758

Total amount collected from the sale of the sold tickets
= 663 u + 315 u
= 978 u

1 u = 10758 ÷ 978 = 11

Number of $17-tickets left unsold
= 52 u 
= 52 x 11
= 572

More amount to be collected if all the tickets were sold
= 572 x 17
= $9724

Answer(s): $9724