At a concert hall, each adult ticket cost $29 and each child ticket cost $7. On Tuesday, the number of adult tickets sold was 50 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 20% while the number of child tickets sold increased by 30%. If a total of 275 tickets were sold on Wednesday, how much money was collected on Tuesday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 50	2 u + 50
Change	- 0.2 u	+ 0.3 u + 15
After	0.8 u	1.3 u + 65	2.1 u + 65

20% x 1 u = ²⁰₁₀₀ x 1 u = 0.2 u 
30% x 1 u = ³⁰₁₀₀ x 1 u = 0.3 u
30% x 50 = ³⁰₁₀₀ x 50 = 15

Number of tickets sold on Wednesday
= 0.8 u + 1.3 u + 65
= 2.1 u + 65

2.1 u + 65 = 275
2.1 u = 275 - 65
2.1 u = 210

1 u = 210 ÷ 2.1 = 100

Amount collected from adult tickets on Tuesday
= 1 u x 29
= 100 x 29
= $2900

Amount collected from child tickets on Tuesday
= 7(1 u + 50)
= 7(100 + 50)
= 7 x 150
= $1050

Total amount collected on Tuesday
= 2900 + 1050
= $3950

Answer(s):$3950