Winnie and Bryan collect erasers and beads. Bryan has 30 less erasers than beads. Bryan has 5 times the number of erasers Winnie has, and Winnie has 30% more beads than Bryan. After Winnie gives Bryan all of her erasers and Bryan gives Winnie 70% of his beads, Bryan has 18 less beads than erasers. Find the number of beads Winnie has at first.

Winnie		Bryan
Beads	Erasers	Beads	Erasers
6.5 u + 39	1 u	5 u + 30	5 u
+ 3.5 u + 21	- 1 u	- 3.5 u - 21	+ 1 u
10 u + 60	0	1.5 u + 9	6 u

100%+ 30% = 130% 

130% x 5 u
= ¹³⁰₁₀₀ x 5 u
= 6.5 u

130% x 30
= ¹³⁰₁₀₀ x 30
= 39 

70% x 5 u
= ⁷⁰₁₀₀ x 5 u
= 3.5 u  

70% x 30 
= ⁷⁰₁₀₀ x 30
= 21 

If another 18 beads are given to Bryan, he will have equal number of beads and erasers in the end.
6 u = 1.5 u + 9 + 18
6 u - 1.5 u = 27
4.5 u = 27

1 u = 27 ÷ 4.5 = 6

Number of beads that Winnie has at first
= 6.5 u + 39
= 6.5 x 6 + 39
= 39 + 39
= 78
 
Answer(s): 78