At a museum, each adult ticket cost $29 and each child ticket cost $16. On Thursday, the number of adult tickets sold was 85 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 40%. If a total of 1919 tickets were sold on Friday, how much money was collected on Thursday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 85	2 u + 85
Change	- 0.15 u	+ 0.4 u + 34
After	0.85 u	1.4 u + 119	2.25 u + 119

15% x 1 u = ¹⁵₁₀₀ x 1 u = 0.15 u 
40% x 1 u = ⁴⁰₁₀₀ x 1 u = 0.4 u
40% x 85 = ⁴⁰₁₀₀ x 85 = 34

Number of tickets sold on Friday
= 0.85 u + 1.4 u + 119
= 2.25 u + 119

2.25 u + 119 = 1919
2.25 u = 1919 - 119
2.25 u = 1800

1 u = 1800 ÷ 2.25 = 800

Amount collected from adult tickets on Thursday
= 1 u x 29
= 800 x 29
= $23200

Amount collected from child tickets on Thursday
= 16(1 u + 85)
= 16(800 + 85)
= 16 x 885
= $14160

Total amount collected on Thursday
= 23200 + 14160
= $37360

Answer(s):$37360