Winnie, Shannon and Linda were playing with beads. Winnie started with 72 beads and in the first game, she won ¹₄ more beads from Shannon. In the second game, Winnie lost ¹₈ of her original number of beads to Linda. Shannon lost as many beads as Winnie to Linda. In the final game, Winnie won ¹₂ of her original number of beads from Shannon. All of them ended up with the same number of beads.

1. How many beads did Winnie have in the end?
2. How many beads did Shannon have at first?

	Winnie	Shannon	Linda
Before	72
First game	+ 18	- 18
Second game	- 9		+ 9
		- 9	+ 9
Final game	+ 36	- 36
After	1 u	1 u	1 u

(a)
Number of beads that Winnie won from Shannon
= ¹₄ x 72
= 18

Number of beads that Winnie lost to Linda
= ¹₈ x 72
= 9

Number of beads that Winnie won from Shannon
= ¹₂ x 72
= 36

Number of beads that Winnie had in the end
= 72 + 18 - 9 + 36
= 117

(b)
Number of beads that Shannon had at first
= 1 u + 36 + 9 + 18
= 117 + 36 + 9 + 18
= 180 

Answer(s): (a) 117 ; (b) 180