Raeann and Justin collect beads and stickers. Justin has 70 less beads than stickers. Justin has 5 times the number of beads Raeann has, and Raeann has 30% more stickers than Justin. After Raeann gives Justin all of her beads and Justin gives Raeann 60% of his stickers, Justin has 12 less stickers than beads. Find the number of stickers Raeann has at first.

Raeann		Justin
Stickers	Beads	Stickers	Beads
6.5 u + 91	1 u	5 u + 70	5 u
+ 3 u + 42	- 1 u	- 3 u - 42	+ 1 u
9.5 u + 133	0	2 u + 28	6 u

100%+ 30% = 130% 

130% x 5 u
= ¹³⁰₁₀₀ x 5 u
= 6.5 u

130% x 70
= ¹³⁰₁₀₀ x 70
= 91 

60% x 5 u
= ⁶⁰₁₀₀ x 5 u
= 3 u  

60% x 70 
= ⁶⁰₁₀₀ x 70
= 42 

If another 12 stickers are given to Justin, he will have equal number of stickers and beads in the end.
6 u = 2 u + 28 + 12
6 u - 2 u = 40
4 u = 40

1 u = 40 ÷ 4 = 10

Number of stickers that Raeann has at first
= 6.5 u + 91
= 6.5 x 10 + 91
= 65 + 91
= 156
 
Answer(s): 156