Elyse and Carl collect marbles and stickers. Carl has 88 less marbles than stickers. Carl has 2 times the number of marbles Elyse has, and Elyse has 25% more stickers than Carl. After Elyse gives Carl all of her marbles and Carl gives Elyse 75% of his stickers, Carl has 28 more marbles than stickers. Find the number of stickers Elyse has at first.

Elyse		Carl
Stickers	Marbles	Stickers	Marbles
2.5 u + 110	1 u	2 u + 88	2 u
+ 1.5 u + 66	- 1 u	- 1.5 u - 66	+ 1 u
4 u + 176	0	0.5 u + 22	3 u

100%+ 25% = 125% 

125% x 2 u
= ¹²⁵₁₀₀ x 2 u
= 2.5 u

125% x 88
= ¹²⁵₁₀₀ x 88
= 110 

75% x 2 u
= ⁷⁵₁₀₀ x 2 u
= 1.5 u  

75% x 88 
= ⁷⁵₁₀₀ x 88
= 66 

If another 28 stickers are given to Carl, he will have equal number of stickers and marbles in the end.
3 u = 0.5 u + 22 + 28
3 u - 0.5 u = 50
2.5 u = 50

1 u = 50 ÷ 2.5 = 20

Number of stickers that Elyse has at first
= 2.5 u + 110
= 2.5 x 20 + 110
= 50 + 110
= 160
 
Answer(s): 160