Nicole and Tim collect pencils and buttons. Tim has 70 less pencils than buttons. Tim has 5 times the number of pencils Nicole has, and Nicole has 30% more buttons than Tim. After Nicole gives Tim all of her pencils and Tim gives Nicole 60% of his buttons, Tim has 36 less buttons than pencils. Find the number of buttons Nicole has at first.

Nicole		Tim
Buttons	Pencils	Buttons	Pencils
6.5 u + 91	1 u	5 u + 70	5 u
+ 3 u + 42	- 1 u	- 3 u - 42	+ 1 u
9.5 u + 133	0	2 u + 28	6 u

100%+ 30% = 130% 

130% x 5 u
= ¹³⁰₁₀₀ x 5 u
= 6.5 u

130% x 70
= ¹³⁰₁₀₀ x 70
= 91 

60% x 5 u
= ⁶⁰₁₀₀ x 5 u
= 3 u  

60% x 70 
= ⁶⁰₁₀₀ x 70
= 42 

If another 36 buttons are given to Tim, he will have equal number of buttons and pencils in the end.
6 u = 2 u + 28 + 36
6 u - 2 u = 64
4 u = 64

1 u = 64 ÷ 4 = 16

Number of buttons that Nicole has at first
= 6.5 u + 91
= 6.5 x 16 + 91
= 104 + 91
= 195
 
Answer(s): 195