At a museum, each adult ticket cost $38 and each child ticket cost $6. On Monday, the number of adult tickets sold was 170 less than the number of child tickets. On Tuesday, the number of adult tickets sold decreased by 40% while the number of child tickets sold increased by 20%. If a total of 384 tickets were sold on Tuesday, how much money was collected on Monday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 170	2 u + 170
Change	- 0.4 u	+ 0.2 u + 34
After	0.6 u	1.2 u + 204	1.8 u + 204

40% x 1 u = ⁴⁰₁₀₀ x 1 u = 0.4 u 
20% x 1 u = ²⁰₁₀₀ x 1 u = 0.2 u
20% x 170 = ²⁰₁₀₀ x 170 = 34

Number of tickets sold on Tuesday
= 0.6 u + 1.2 u + 204
= 1.8 u + 204

1.8 u + 204 = 384
1.8 u = 384 - 204
1.8 u = 180

1 u = 180 ÷ 1.8 = 100

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

Amount collected from child tickets on Monday
= 6(1 u + 170)
= 6(100 + 170)
= 6 x 270
= $1620

Total amount collected on Monday
= 3800 + 1620
= $5420

Answer(s):$5420