Irene and Jack collect beads and coins. Jack has 96 less beads than coins. Jack has 2 times the number of beads Irene has, and Irene has 25% more coins than Jack. After Irene gives Jack all of her beads and Jack gives Irene 75% of his coins, Jack has 11 more beads than coins. Find the number of coins Irene has at first.

Irene		Jack
Coins	Beads	Coins	Beads
2.5 u + 120	1 u	2 u + 96	2 u
+ 1.5 u + 72	- 1 u	- 1.5 u - 72	+ 1 u
4 u + 192	0	0.5 u + 24	3 u

100%+ 25% = 125% 

125% x 2 u
= ¹²⁵₁₀₀ x 2 u
= 2.5 u

125% x 96
= ¹²⁵₁₀₀ x 96
= 120 

75% x 2 u
= ⁷⁵₁₀₀ x 2 u
= 1.5 u  

75% x 96 
= ⁷⁵₁₀₀ x 96
= 72 

If another 11 coins are given to Jack, he will have equal number of coins and beads in the end.
3 u = 0.5 u + 24 + 11
3 u - 0.5 u = 35
2.5 u = 35

1 u = 35 ÷ 2.5 = 14

Number of coins that Irene has at first
= 2.5 u + 120
= 2.5 x 14 + 120
= 35 + 120
= 155
 
Answer(s): 155