At a tourist attraction, each adult ticket cost $34 and each child ticket cost $8. On Friday, the number of adult tickets sold was 50 less than the number of child tickets. On Saturday, the number of adult tickets sold decreased by 45% while the number of child tickets sold increased by 40%. If a total of 1630 tickets were sold on Saturday, how much money was collected on Friday?

	Adult tickets	Child tickets	Total tickets
Before	1 u	1 u + 50	2 u + 50
Change	- 0.45 u	+ 0.4 u + 20
After	0.55 u	1.4 u + 70	1.95 u + 70

45% x 1 u = ⁴⁵₁₀₀ x 1 u = 0.45 u 
40% x 1 u = ⁴⁰₁₀₀ x 1 u = 0.4 u
40% x 50 = ⁴⁰₁₀₀ x 50 = 20

Number of tickets sold on Saturday
= 0.55 u + 1.4 u + 70
= 1.95 u + 70

1.95 u + 70 = 1630
1.95 u = 1630 - 70
1.95 u = 1560

1 u = 1560 ÷ 1.95 = 800

Amount collected from adult tickets on Friday
= 1 u x 34
= 800 x 34
= $27200

Amount collected from child tickets on Friday
= 8(1 u + 50)
= 8(800 + 50)
= 8 x 850
= $6800

Total amount collected on Friday
= 27200 + 6800
= $34000

Answer(s):$34000