Fanny and Paul collect buttons and marbles. Paul has 65 less buttons than marbles. Paul has 4 times the number of buttons Fanny has, and Fanny has 40% more marbles than Paul. After Fanny gives Paul all of her buttons and Paul gives Fanny 60% of his marbles, Paul has 25 more buttons than marbles. Find the number of marbles Fanny has at first.

Fanny		Paul
Marbles	Buttons	Marbles	Buttons
5.6 u + 91	1 u	4 u + 65	4 u
+ 2.4 u + 39	- 1 u	- 2.4 u - 39	+ 1 u
8 u + 130	0	1.6 u + 26	5 u

100%+ 40% = 140% 

140% x 4 u
= ¹⁴⁰₁₀₀ x 4 u
= 5.6 u

140% x 65
= ¹⁴⁰₁₀₀ x 65
= 91 

60% x 4 u
= ⁶⁰₁₀₀ x 4 u
= 2.4 u  

60% x 65 
= ⁶⁰₁₀₀ x 65
= 39 

If another 25 marbles are given to Paul, he will have equal number of marbles and buttons in the end.
5 u = 1.6 u + 26 + 25
5 u - 1.6 u = 51
3.4 u = 51

1 u = 51 ÷ 3.4 = 15

Number of marbles that Fanny has at first
= 5.6 u + 91
= 5.6 x 15 + 91
= 84 + 91
= 175
 
Answer(s): 175