At a tourist attraction, each adult ticket cost $32 and each child ticket cost $13. On Wednesday, the number of adult tickets sold was 85 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 50% while the number of child tickets sold increased by 40%. If a total of 1829 tickets were sold on Thursday, how much money was collected on Wednesday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 85	2 u + 85
Change	- 0.5 u	+ 0.4 u + 34
After	0.5 u	1.4 u + 119	1.9 u + 119

50% x 1 u = ⁵⁰₁₀₀ x 1 u = 0.5 u 
40% x 1 u = ⁴⁰₁₀₀ x 1 u = 0.4 u
40% x 85 = ⁴⁰₁₀₀ x 85 = 34

Number of tickets sold on Thursday
= 0.5 u + 1.4 u + 119
= 1.9 u + 119

1.9 u + 119 = 1829
1.9 u = 1829 - 119
1.9 u = 1710

1 u = 1710 ÷ 1.9 = 900

Amount collected from adult tickets on Wednesday
= 1 u x 32
= 900 x 32
= $28800

Amount collected from child tickets on Wednesday
= 13(1 u + 85)
= 13(900 + 85)
= 13 x 985
= $12805

Total amount collected on Wednesday
= 28800 + 12805
= $41605

Answer(s):$41605