The tourist attraction tickets are priced at $16 and $12.  The number of $16-dollar tickets available is  1³₄ that of the number of $12-dollar tickets. 3 out of 5 of the $16-dollar tickets and all the $12-dollar tickets were sold. The ticket sales amounted to $2880. How much more would have been collected if all the tickets were sold?

	$16	$12
Comparing $16 and $12 tickets at first	7x5 = 35 u	4x5 = 20 u
Before	5x7 = 35 u
Change	- 3x7 = - 21 u	- 20 u
After	2x7 = 14 u	0 u

The number of 16 tickets at first is repeated.  Make the number of 16 tickets the same.  LCM of 5 and 7 is 35.

1³₄ = ⁷₄

Number of $16 tickets : $12 tickets = 7 : 4

	$16	$12	Total
Number	21 u	20 u
Value	$16	$12
Total value	336 u	240 u	$2880

Total amount collected from the sale of the sold tickets
= 336 u + 240 u
= 576 u

1 u = 2880 ÷ 576 = 5

Number of $16-tickets left unsold
= 14 u 
= 14 x 5
= 70

More amount to be collected if all the tickets were sold
= 70 x 16
= $1120

Answer(s): $1120