At a concert hall, each adult ticket cost $31 and each child ticket cost $10. On Tuesday, the number of adult tickets sold was 68 less than the number of child tickets. On Wednesday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 512 tickets were sold on Wednesday, how much money was collected on Tuesday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 68	2 u + 68
Change	- 0.45 u	+ 0.5 u + 34
After	0.55 u	1.5 u + 102	2.05 u + 102

45% x 1 u = ⁴⁵₁₀₀ x 1 u = 0.45 u 
50% x 1 u = ⁵⁰₁₀₀ x 1 u = 0.5 u
50% x 68 = ⁵⁰₁₀₀ x 68 = 34

Number of tickets sold on Wednesday
= 0.55 u + 1.5 u + 102
= 2.05 u + 102

2.05 u + 102 = 512
2.05 u = 512 - 102
2.05 u = 410

1 u = 410 ÷ 2.05 = 200

Amount collected from adult tickets on Tuesday
= 1 u x 31
= 200 x 31
= $6200

Amount collected from child tickets on Tuesday
= 10(1 u + 68)
= 10(200 + 68)
= 10 x 268
= $2680

Total amount collected on Tuesday
= 6200 + 2680
= $8880

Answer(s):$8880