At a theme park, each adult ticket cost $30 and each child ticket cost $8. On Thursday, the number of adult tickets sold was 92 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 50%. If a total of 1163 tickets were sold on Friday, how much money was collected on Thursday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 92	2 u + 92
Change	- 0.45 u	+ 0.5 u + 46
After	0.55 u	1.5 u + 138	2.05 u + 138

45% x 1 u = ⁴⁵₁₀₀ x 1 u = 0.45 u 
50% x 1 u = ⁵⁰₁₀₀ x 1 u = 0.5 u
50% x 92 = ⁵⁰₁₀₀ x 92 = 46

Number of tickets sold on Friday
= 0.55 u + 1.5 u + 138
= 2.05 u + 138

2.05 u + 138 = 1163
2.05 u = 1163 - 138
2.05 u = 1025

1 u = 1025 ÷ 2.05 = 500

Amount collected from adult tickets on Thursday
= 1 u x 30
= 500 x 30
= $15000

Amount collected from child tickets on Thursday
= 8(1 u + 92)
= 8(500 + 92)
= 8 x 592
= $4736

Total amount collected on Thursday
= 15000 + 4736
= $19736

Answer(s):$19736