The museum tickets are priced at $14 and $8.  The number of $14-dollar tickets available is  1³₅ that of the number of $8-dollar tickets. 3 out of 7 of the $14-dollar tickets and all the $8-dollar tickets were sold. The ticket sales amounted to $6776. How much more would have been collected if all the tickets were sold?

	$14	$8
Comparing $14 and $8 tickets at first	8x7 = 56 u	5x7 = 35 u
Before	7x8 = 56 u
Change	- 3x8 = - 24 u	- 35 u
After	4x8 = 32 u	0 u

The number of 14 tickets at first is repeated.  Make the number of 14 tickets the same.  LCM of 7 and 8 is 56.

1³₅ = ⁸₅

Number of $14 tickets : $8 tickets = 8 : 5

	$14	$8	Total
Number	24 u	35 u
Value	$14	$8
Total value	336 u	280 u	$6776

Total amount collected from the sale of the sold tickets
= 336 u + 280 u
= 616 u

1 u = 6776 ÷ 616 = 11

Number of $14-tickets left unsold
= 32 u 
= 32 x 11
= 352

More amount to be collected if all the tickets were sold
= 352 x 14
= $4928

Answer(s): $4928