The tourist attraction tickets are priced at $17 and $7.  The number of $17-dollar tickets available is  1¹₅ that of the number of $7-dollar tickets. 3 out of 7 of the $17-dollar tickets and all the $7-dollar tickets were sold. The ticket sales amounted to $4959. How much more would have been collected if all the tickets were sold?

	$17	$7
Comparing $17 and $7 tickets at first	6x7 = 42 u	5x7 = 35 u
Before	7x6 = 42 u
Change	- 3x6 = - 18 u	- 35 u
After	4x6 = 24 u	0 u

The number of 17 tickets at first is repeated.  Make the number of 17 tickets the same.  LCM of 7 and 6 is 42.

1¹₅ = ⁶₅

Number of $17 tickets : $7 tickets = 6 : 5

	$17	$7	Total
Number	18 u	35 u
Value	$17	$7
Total value	306 u	245 u	$4959

Total amount collected from the sale of the sold tickets
= 306 u + 245 u
= 551 u

1 u = 4959 ÷ 551 = 9

Number of $17-tickets left unsold
= 24 u 
= 24 x 9
= 216

More amount to be collected if all the tickets were sold
= 216 x 17
= $3672

Answer(s): $3672