The park tickets are priced at $17 and $11.  The number of $17-dollar tickets available is  2¹₆ that of the number of $11-dollar tickets. 3 out of 5 of the $17-dollar tickets and all the $11-dollar tickets were sold. The ticket sales amounted to $3972. How much more would have been collected if all the tickets were sold?

	$17	$11
Comparing $17 and $11 tickets at first	13x5 = 65 u	6x5 = 30 u
Before	5x13 = 65 u
Change	- 3x13 = - 39 u	- 30 u
After	2x13 = 26 u	0 u

The number of 17 tickets at first is repeated.  Make the number of 17 tickets the same.  LCM of 5 and 13 is 65.

2¹₆ = ¹³₆

Number of $17 tickets : $11 tickets = 13 : 6

	$17	$11	Total
Number	39 u	30 u
Value	$17	$11
Total value	663 u	330 u	$3972

Total amount collected from the sale of the sold tickets
= 663 u + 330 u
= 993 u

1 u = 3972 ÷ 993 = 4

Number of $17-tickets left unsold
= 26 u 
= 26 x 4
= 104

More amount to be collected if all the tickets were sold
= 104 x 17
= $1768

Answer(s): $1768