Irene and Harry collect stickers and coins. Harry has 44 less stickers than coins. Harry has 2 times the number of stickers Irene has, and Irene has 25% more coins than Harry. After Irene gives Harry all of her stickers and Harry gives Irene 75% of his coins, Harry has 39 more stickers than coins. Find the number of coins Irene has at first.

Irene		Harry
Coins	Stickers	Coins	Stickers
2.5 u + 55	1 u	2 u + 44	2 u
+ 1.5 u + 33	- 1 u	- 1.5 u - 33	+ 1 u
4 u + 88	0	0.5 u + 11	3 u

100%+ 25% = 125% 

125% x 2 u
= ¹²⁵₁₀₀ x 2 u
= 2.5 u

125% x 44
= ¹²⁵₁₀₀ x 44
= 55 

75% x 2 u
= ⁷⁵₁₀₀ x 2 u
= 1.5 u  

75% x 44 
= ⁷⁵₁₀₀ x 44
= 33 

If another 39 coins are given to Harry, he will have equal number of coins and stickers in the end.
3 u = 0.5 u + 11 + 39
3 u - 0.5 u = 50
2.5 u = 50

1 u = 50 ÷ 2.5 = 20

Number of coins that Irene has at first
= 2.5 u + 55
= 2.5 x 20 + 55
= 50 + 55
= 105
 
Answer(s): 105