At a museum, each adult ticket cost $36 and each child ticket cost $18. On Wednesday, the number of adult tickets sold was 170 less than the number of child tickets. On Thursday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 1485 tickets were sold on Thursday, how much money was collected on Wednesday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 170	2 u + 170
Change	- 0.45 u	+ 0.5 u + 85
After	0.55 u	1.5 u + 255	2.05 u + 255

45% x 1 u = ⁴⁵₁₀₀ x 1 u = 0.45 u 
50% x 1 u = ⁵⁰₁₀₀ x 1 u = 0.5 u
50% x 170 = ⁵⁰₁₀₀ x 170 = 85

Number of tickets sold on Thursday
= 0.55 u + 1.5 u + 255
= 2.05 u + 255

2.05 u + 255 = 1485
2.05 u = 1485 - 255
2.05 u = 1230

1 u = 1230 ÷ 2.05 = 600

Amount collected from adult tickets on Wednesday
= 1 u x 36
= 600 x 36
= $21600

Amount collected from child tickets on Wednesday
= 18(1 u + 170)
= 18(600 + 170)
= 18 x 770
= $13860

Total amount collected on Wednesday
= 21600 + 13860
= $35460

Answer(s):$35460