At a zoo, each adult ticket cost $38 and each child ticket cost $6. On Thursday, the number of adult tickets sold was 116 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 15% while the number of child tickets sold increased by 50%. If a total of 409 tickets were sold on Friday, how much money was collected on Thursday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 116	2 u + 116
Change	- 0.15 u	+ 0.5 u + 58
After	0.85 u	1.5 u + 174	2.35 u + 174

15% x 1 u = ¹⁵₁₀₀ x 1 u = 0.15 u 
50% x 1 u = ⁵⁰₁₀₀ x 1 u = 0.5 u
50% x 116 = ⁵⁰₁₀₀ x 116 = 58

Number of tickets sold on Friday
= 0.85 u + 1.5 u + 174
= 2.35 u + 174

2.35 u + 174 = 409
2.35 u = 409 - 174
2.35 u = 235

1 u = 235 ÷ 2.35 = 100

Amount collected from adult tickets on Thursday
= 1 u x 38
= 100 x 38
= $3800

Amount collected from child tickets on Thursday
= 6(1 u + 116)
= 6(100 + 116)
= 6 x 216
= $1296

Total amount collected on Thursday
= 3800 + 1296
= $5096

Answer(s):$5096