Fanny and George collect beads and coins. George has 50 more coins than beads. George has 4 times the number of beads Fanny has, and Fanny has 40% more coins than George. After Fanny gives George all of her beads and George gives Fanny 60% of his coins, George has 14 more beads than coins. Find the number of coins Fanny has at first.

Fanny		George
Coins	Beads	Coins	Beads
5.6 u + 70	1 u	4 u + 50	4 u
+ 2.4 u + 30	- 1 u	- 2.4 u - 30	+ 1 u
8 u + 100	0	1.6 u + 20	5 u

100% + 40% = 140% 

140% x 4 u
= ¹⁴⁰₁₀₀ x 4 u
= 5.6 u

140% x 50
= ¹⁴⁰₁₀₀ x 50
= 70 

60% x 4 u
= ⁶⁰₁₀₀ x 4 u
= 2.4 u  

60% x 50 
= ⁶⁰₁₀₀ x 50
= 30 

If another 14 coins are given to George, he will have equal number of coins and beads in the end.
5 u = 1.6 u + 20 + 14
5 u - 1.6 u = 34
3.4 u = 34

1 u = 34 ÷ 3.4 = 10

Number of coins that Fanny has at first
= 5.6 u + 70
= 5.6 x 10 + 70
= 56 + 70
= 126
 
Answer(s): 126