Gwen and Caden collect beads and stickers. Caden has 70 less beads than stickers. Caden has 4 times the number of beads Gwen has, and Gwen has 40% more stickers than Caden. After Gwen gives Caden all of her beads and Caden gives Gwen 70% of his stickers, Caden has 17 more beads than stickers. Find the number of stickers Gwen has at first.

Gwen		Caden
Stickers	Beads	Stickers	Beads
5.6 u + 98	1 u	4 u + 70	4 u
+ 2.8 u + 49	- 1 u	- 2.8 u - 49	+ 1 u
8.4 u + 147	0	1.2 u + 21	5 u

100%+ 40% = 140% 

140% x 4 u
= ¹⁴⁰₁₀₀ x 4 u
= 5.6 u

140% x 70
= ¹⁴⁰₁₀₀ x 70
= 98 

70% x 4 u
= ⁷⁰₁₀₀ x 4 u
= 2.8 u  

70% x 70 
= ⁷⁰₁₀₀ x 70
= 49 

If another 17 stickers are given to Caden, he will have equal number of stickers and beads in the end.
5 u = 1.2 u + 21 + 17
5 u - 1.2 u = 38
3.8 u = 38

1 u = 38 ÷ 3.8 = 10

Number of stickers that Gwen has at first
= 5.6 u + 98
= 5.6 x 10 + 98
= 56 + 98
= 154
 
Answer(s): 154