The tourist attraction tickets are priced at $14 and $7.  The number of $14-dollar tickets available is  1¹₆ that of the number of $7-dollar tickets. 3 out of 4 of the $14-dollar tickets and all the $7-dollar tickets were sold. The ticket sales amounted to $2772. How much more would have been collected if all the tickets were sold?

	$14	$7
Comparing $14 and $7 tickets at first	7x4 = 28 u	6x4 = 24 u
Before	4x7 = 28 u
Change	- 3x7 = - 21 u	- 24 u
After	1x7 = 7 u	0 u

The number of 14 tickets at first is repeated.  Make the number of 14 tickets the same.  LCM of 4 and 7 is 28.

1¹₆ = ⁷₆

Number of $14 tickets : $7 tickets = 7 : 6

	$14	$7	Total
Number	21 u	24 u
Value	$14	$7
Total value	294 u	168 u	$2772

Total amount collected from the sale of the sold tickets
= 294 u + 168 u
= 462 u

1 u = 2772 ÷ 462 = 6

Number of $14-tickets left unsold
= 7 u 
= 7 x 6
= 42

More amount to be collected if all the tickets were sold
= 42 x 14
= $588

Answer(s): $588