Usha and Fred collect pencils and stickers. Fred has 44 more stickers than pencils. Fred has 5 times the number of pencils Usha has, and Usha has 25% more stickers than Fred. After Usha gives Fred all of her pencils and Fred gives Usha 75% of his stickers, Fred has 27 more pencils than stickers. Find the number of stickers Usha has at first.

Usha		Fred
Stickers	Pencils	Stickers	Pencils
6.25 u + 55	1 u	5 u + 44	5 u
+ 3.75 u + 33	- 1 u	- 3.75 u - 33	+ 1 u
10 u + 88	0	1.25 u + 11	6 u

100% + 25% = 125% 

125% x 5 u
= ¹²⁵₁₀₀ x 5 u
= 6.25 u

125% x 44
= ¹²⁵₁₀₀ x 44
= 55 

75% x 5 u
= ⁷⁵₁₀₀ x 5 u
= 3.75 u  

75% x 44 
= ⁷⁵₁₀₀ x 44
= 33 

If another 27 stickers are given to Fred, he will have equal number of stickers and pencils in the end.
6 u = 1.25 u + 11 + 27
6 u - 1.25 u = 38
4.75 u = 38

1 u = 38 ÷ 4.75 = 8

Number of stickers that Usha has at first
= 6.25 u + 55
= 6.25 x 8 + 55
= 50 + 55
= 105
 
Answer(s): 105