Nicole and Perry collect pencils and stickers. Perry has 60 more stickers than pencils. Perry has 2 times the number of pencils Nicole has, and Nicole has 40% more stickers than Perry. After Nicole gives Perry all of her pencils and Perry gives Nicole 70% of his stickers, Perry has 18 more pencils than stickers. Find the number of stickers Nicole has at first.

Nicole		Perry
Stickers	Pencils	Stickers	Pencils
2.8 u + 84	1 u	2 u + 60	2 u
+ 1.4 u + 42	- 1 u	- 1.4 u - 42	+ 1 u
4.2 u + 126	0	0.6 u + 18	3 u

100% + 40% = 140% 

140% x 2 u
= ¹⁴⁰₁₀₀ x 2 u
= 2.8 u

140% x 60
= ¹⁴⁰₁₀₀ x 60
= 84 

70% x 2 u
= ⁷⁰₁₀₀ x 2 u
= 1.4 u  

70% x 60 
= ⁷⁰₁₀₀ x 60
= 42 

If another 18 stickers are given to Perry, he will have equal number of stickers and pencils in the end.
3 u = 0.6 u + 18 + 18
3 u - 0.6 u = 36
2.4 u = 36

1 u = 36 ÷ 2.4 = 15

Number of stickers that Nicole has at first
= 2.8 u + 84
= 2.8 x 15 + 84
= 42 + 84
= 126
 
Answer(s): 126