The stadium tickets are priced at $20 and $10.  The number of $20-dollar tickets available is  2¹₅ that of the number of $10-dollar tickets. 2 out of 3 of the $20-dollar tickets and all the $10-dollar tickets were sold. The ticket sales amounted to $5900. How much more would have been collected if all the tickets were sold?

	$20	$10
Comparing $20 and $10 tickets at first	11x3 = 33 u	5x3 = 15 u
Before	3x11 = 33 u
Change	- 2x11 = - 22 u	- 15 u
After	1x11 = 11 u	0 u

The number of 20 tickets at first is repeated.  Make the number of 20 tickets the same.  LCM of 3 and 11 is 33.

2¹₅ = ¹¹₅

Number of $20 tickets : $10 tickets = 11 : 5

	$20	$10	Total
Number	22 u	15 u
Value	$20	$10
Total value	440 u	150 u	$5900

Total amount collected from the sale of the sold tickets
= 440 u + 150 u
= 590 u

1 u = 5900 ÷ 590 = 10

Number of $20-tickets left unsold
= 11 u 
= 11 x 10
= 110

More amount to be collected if all the tickets were sold
= 110 x 20
= $2200

Answer(s): $2200