Fanny and Flynn collect buttons and beads. Flynn has 40 less buttons than beads. Flynn has 4 times the number of buttons Fanny has, and Fanny has 40% more beads than Flynn. After Fanny gives Flynn all of her buttons and Flynn gives Fanny 75% of his beads, Flynn has 70 more buttons than beads. Find the number of beads Fanny has at first.

Fanny		Flynn
Beads	Buttons	Beads	Buttons
5.6 u + 56	1 u	4 u + 40	4 u
+ 3 u + 30	- 1 u	- 3 u - 30	+ 1 u
8.6 u + 86	0	1 u + 10	5 u

100%+ 40% = 140% 

140% x 4 u
= ¹⁴⁰₁₀₀ x 4 u
= 5.6 u

140% x 40
= ¹⁴⁰₁₀₀ x 40
= 56 

75% x 4 u
= ⁷⁵₁₀₀ x 4 u
= 3 u  

75% x 40 
= ⁷⁵₁₀₀ x 40
= 30 

If another 70 beads are given to Flynn, he will have equal number of beads and buttons in the end.
5 u = 1 u + 10 + 70
5 u - 1 u = 80
4 u = 80

1 u = 80 ÷ 4 = 20

Number of beads that Fanny has at first
= 5.6 u + 56
= 5.6 x 20 + 56
= 112 + 56
= 168
 
Answer(s): 168