The concert hall tickets are priced at $17 and $8.  The number of $17-dollar tickets available is  2⁴₅ that of the number of $8-dollar tickets. 3 out of 5 of the $17-dollar tickets and all the $8-dollar tickets were sold. The ticket sales amounted to $10054. How much more would have been collected if all the tickets were sold?

	$17	$8
Comparing $17 and $8 tickets at first	14x5 = 70 u	5x5 = 25 u
Before	5x14 = 70 u
Change	- 3x14 = - 42 u	- 25 u
After	2x14 = 28 u	0 u

The number of 17 tickets at first is repeated.  Make the number of 17 tickets the same.  LCM of 5 and 14 is 70.

2⁴₅ = ¹⁴₅

Number of $17 tickets : $8 tickets = 14 : 5

	$17	$8	Total
Number	42 u	25 u
Value	$17	$8
Total value	714 u	200 u	$10054

Total amount collected from the sale of the sold tickets
= 714 u + 200 u
= 914 u

1 u = 10054 ÷ 914 = 11

Number of $17-tickets left unsold
= 28 u 
= 28 x 11
= 308

More amount to be collected if all the tickets were sold
= 308 x 17
= $5236

Answer(s): $5236