Winnie and Tim collect stickers and marbles. Tim has 80 less stickers than marbles. Tim has 5 times the number of stickers Winnie has, and Winnie has 25% more marbles than Tim. After Winnie gives Tim all of her stickers and Tim gives Winnie 70% of his marbles, Tim has 66 less marbles than stickers. Find the number of marbles Winnie has at first.

Winnie		Tim
Marbles	Stickers	Marbles	Stickers
6.25 u + 100	1 u	5 u + 80	5 u
+ 3.5 u + 56	- 1 u	- 3.5 u - 56	+ 1 u
9.75 u + 156	0	1.5 u + 24	6 u

100%+ 25% = 125% 

125% x 5 u
= ¹²⁵₁₀₀ x 5 u
= 6.25 u

125% x 80
= ¹²⁵₁₀₀ x 80
= 100 

70% x 5 u
= ⁷⁰₁₀₀ x 5 u
= 3.5 u  

70% x 80 
= ⁷⁰₁₀₀ x 80
= 56 

If another 66 marbles are given to Tim, he will have equal number of marbles and stickers in the end.
6 u = 1.5 u + 24 + 66
6 u - 1.5 u = 90
4.5 u = 90

1 u = 90 ÷ 4.5 = 20

Number of marbles that Winnie has at first
= 6.25 u + 100
= 6.25 x 20 + 100
= 125 + 100
= 225
 
Answer(s): 225