Raeann, Roshel and Pamela were playing with beads. Raeann started with 32 beads and in the first game, she won ¹₄ more beads from Roshel. In the second game, Raeann lost ³₈ of her original number of beads to Pamela. Roshel lost as many beads as Raeann to Pamela. In the final game, Raeann won ¹₂ of her original number of beads from Roshel. All of them ended up with the same number of beads.

1. How many beads did Raeann have in the end?
2. How many beads did Roshel have at first?

	Raeann	Roshel	Pamela
Before	32
First game	+ 8	- 8
Second game	- 12		+ 12
		- 12	+ 12
Final game	+ 16	- 16
After	1 u	1 u	1 u

(a)
Number of beads that Raeann won from Roshel
= ¹₄ x 32
= 8

Number of beads that Raeann lost to Pamela
= ³₈ x 32
= 12

Number of beads that Raeann won from Roshel
= ¹₂ x 32
= 16

Number of beads that Raeann had in the end
= 32 + 8 - 12 + 16
= 44

(b)
Number of beads that Roshel had at first
= 1 u + 16 + 12 + 8
= 44 + 16 + 12 + 8
= 80 

Answer(s): (a) 44 ; (b) 80