Xuan and Dylan collect marbles and stickers. Dylan has 50 less marbles than stickers. Dylan has 5 times the number of marbles Xuan has, and Xuan has 30% more stickers than Dylan. After Xuan gives Dylan all of her marbles and Dylan gives Xuan 60% of his stickers, Dylan has 20 more marbles than stickers. Find the number of stickers Xuan has at first.

Xuan		Dylan
Stickers	Marbles	Stickers	Marbles
6.5 u + 65	1 u	5 u + 50	5 u
+ 3 u + 30	- 1 u	- 3 u - 30	+ 1 u
9.5 u + 95	0	2 u + 20	6 u

100%+ 30% = 130% 

130% x 5 u
= ¹³⁰₁₀₀ x 5 u
= 6.5 u

130% x 50
= ¹³⁰₁₀₀ x 50
= 65 

60% x 5 u
= ⁶⁰₁₀₀ x 5 u
= 3 u  

60% x 50 
= ⁶⁰₁₀₀ x 50
= 30 

If another 20 stickers are given to Dylan, he will have equal number of stickers and marbles in the end.
6 u = 2 u + 20 + 20
6 u - 2 u = 40
4 u = 40

1 u = 40 ÷ 4 = 10

Number of stickers that Xuan has at first
= 6.5 u + 65
= 6.5 x 10 + 65
= 65 + 65
= 130
 
Answer(s): 130