The park tickets are priced at $14 and $11.  The number of $14-dollar tickets available is  1³₄ that of the number of $11-dollar tickets. 2 out of 5 of the $14-dollar tickets and all the $11-dollar tickets were sold. The ticket sales amounted to $1664. How much more would have been collected if all the tickets were sold?

	$14	$11
Comparing $14 and $11 tickets at first	7x5 = 35 u	4x5 = 20 u
Before	5x7 = 35 u
Change	- 2x7 = - 14 u	- 20 u
After	3x7 = 21 u	0 u

The number of 14 tickets at first is repeated.  Make the number of 14 tickets the same.  LCM of 5 and 7 is 35.

1³₄ = ⁷₄

Number of $14 tickets : $11 tickets = 7 : 4

	$14	$11	Total
Number	14 u	20 u
Value	$14	$11
Total value	196 u	220 u	$1664

Total amount collected from the sale of the sold tickets
= 196 u + 220 u
= 416 u

1 u = 1664 ÷ 416 = 4

Number of $14-tickets left unsold
= 21 u 
= 21 x 4
= 84

More amount to be collected if all the tickets were sold
= 84 x 14
= $1176

Answer(s): $1176