Fanny and Bryan collect erasers and stickers. Bryan has 96 more stickers than erasers. Bryan has 5 times the number of erasers Fanny has, and Fanny has 25% more stickers than Bryan. After Fanny gives Bryan all of her erasers and Bryan gives Fanny 75% of his stickers, Bryan has 71 more erasers than stickers. Find the number of stickers Fanny has at first.

Fanny		Bryan
Stickers	Erasers	Stickers	Erasers
6.25 u + 120	1 u	5 u + 96	5 u
+ 3.75 u + 72	- 1 u	- 3.75 u - 72	+ 1 u
10 u + 192	0	1.25 u + 24	6 u

100% + 25% = 125% 

125% x 5 u
= ¹²⁵₁₀₀ x 5 u
= 6.25 u

125% x 96
= ¹²⁵₁₀₀ x 96
= 120 

75% x 5 u
= ⁷⁵₁₀₀ x 5 u
= 3.75 u  

75% x 96 
= ⁷⁵₁₀₀ x 96
= 72 

If another 71 stickers are given to Bryan, he will have equal number of stickers and erasers in the end.
6 u = 1.25 u + 24 + 71
6 u - 1.25 u = 95
4.75 u = 95

1 u = 95 ÷ 4.75 = 20

Number of stickers that Fanny has at first
= 6.25 u + 120
= 6.25 x 20 + 120
= 125 + 120
= 245
 
Answer(s): 245