At a concert hall, each adult ticket cost $24 and each child ticket cost $18. 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 5% while the number of child tickets sold increased by 50%. If a total of 1770 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	- 0.05 u	+ 0.5 u + 100
After	0.95 u	1.5 u + 300	2.45 u + 300

5% x 1 u = ⁵₁₀₀ x 1 u = 0.05 u 
50% x 1 u = ⁵⁰₁₀₀ x 1 u = 0.5 u
50% x 200 = ⁵⁰₁₀₀ x 200 = 100

Number of tickets sold on Wednesday
= 0.95 u + 1.5 u + 300
= 2.45 u + 300

2.45 u + 300 = 1770
2.45 u = 1770 - 300
2.45 u = 1470

1 u = 1470 ÷ 2.45 = 600

Amount collected from adult tickets on Tuesday
= 1 u x 24
= 600 x 24
= $14400

Amount collected from child tickets on Tuesday
= 18(1 u + 200)
= 18(600 + 200)
= 18 x 800
= $14400

Total amount collected on Tuesday
= 14400 + 14400
= $28800

Answer(s):$28800