At a museum, each adult ticket cost $32 and each child ticket cost $9. On Tuesday, the number of adult tickets sold was 200 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 10% while the number of child tickets sold increased by 5%. If a total of 405 tickets were sold on Wednesday, how much money was collected on Tuesday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 200	2 u + 200
Change	- 0.1 u	+ 0.05 u + 10
After	0.9 u	1.05 u + 210	1.95 u + 210

10% x 1 u = ¹⁰₁₀₀ x 1 u = 0.1 u 
5% x 1 u = ⁵₁₀₀ x 1 u = 0.05 u
5% x 200 = ⁵₁₀₀ x 200 = 10

Number of tickets sold on Wednesday
= 0.9 u + 1.05 u + 210
= 1.95 u + 210

1.95 u + 210 = 405
1.95 u = 405 - 210
1.95 u = 195

1 u = 195 ÷ 1.95 = 100

Amount collected from adult tickets on Tuesday
= 1 u x 32
= 100 x 32
= $3200

Amount collected from child tickets on Tuesday
= 9(1 u + 200)
= 9(100 + 200)
= 9 x 300
= $2700

Total amount collected on Tuesday
= 3200 + 2700
= $5900

Answer(s):$5900