Hazel and John collect erasers and stickers. John has 65 more stickers than erasers. John has 4 times the number of erasers Hazel has, and Hazel has 20% more stickers than John. After Hazel gives John all of her erasers and John gives Hazel 60% of his stickers, John has 8 more erasers than stickers. Find the number of stickers Hazel has at first.

Hazel		John
Stickers	Erasers	Stickers	Erasers
4.8 u + 78	1 u	4 u + 65	4 u
+ 2.4 u + 39	- 1 u	- 2.4 u - 39	+ 1 u
7.2 u + 117	0	1.6 u + 26	5 u

100% + 20% = 120% 

120% x 4 u
= ¹²⁰₁₀₀ x 4 u
= 4.8 u

120% x 65
= ¹²⁰₁₀₀ x 65
= 78 

60% x 4 u
= ⁶⁰₁₀₀ x 4 u
= 2.4 u  

60% x 65 
= ⁶⁰₁₀₀ x 65
= 39 

If another 8 stickers are given to John, he will have equal number of stickers and erasers in the end.
5 u = 1.6 u + 26 + 8
5 u - 1.6 u = 34
3.4 u = 34

1 u = 34 ÷ 3.4 = 10

Number of stickers that Hazel has at first
= 4.8 u + 78
= 4.8 x 10 + 78
= 48 + 78
= 126
 
Answer(s): 126