At a concert hall, each adult ticket cost $34 and each child ticket cost $8. On Saturday, the number of adult tickets sold was 100 less than the number of child tickets. On Sunday, the number of adult tickets sold decreased by 50% while the number of child tickets sold increased by 25%. If a total of 1700 tickets were sold on Sunday, how much money was collected on Saturday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 100	2 u + 100
Change	- 0.5 u	+ 0.25 u + 25
After	0.5 u	1.25 u + 125	1.75 u + 125

50% x 1 u = ⁵⁰₁₀₀ x 1 u = 0.5 u 
25% x 1 u = ²⁵₁₀₀ x 1 u = 0.25 u
25% x 100 = ²⁵₁₀₀ x 100 = 25

Number of tickets sold on Sunday
= 0.5 u + 1.25 u + 125
= 1.75 u + 125

1.75 u + 125 = 1700
1.75 u = 1700 - 125
1.75 u = 1575

1 u = 1575 ÷ 1.75 = 900

Amount collected from adult tickets on Saturday
= 1 u x 34
= 900 x 34
= $30600

Amount collected from child tickets on Saturday
= 8(1 u + 100)
= 8(900 + 100)
= 8 x 1000
= $8000

Total amount collected on Saturday
= 30600 + 8000
= $38600

Answer(s):$38600