Shannon, Linda and Tammy were playing with beads. Shannon started with 96 beads and in the first game, she won ¹₄ more beads from Linda. In the second game, Shannon lost ¹₈ of her original number of beads to Tammy. Linda lost as many beads as Shannon to Tammy. In the final game, Shannon won ¹₂ of her original number of beads from Linda. All of them ended up with the same number of beads.

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

	Shannon	Linda	Tammy
Before	96
First game	+ 24	- 24
Second game	- 12		+ 12
		- 12	+ 12
Final game	+ 48	- 48
After	1 u	1 u	1 u

(a)
Number of beads that Shannon won from Linda
= ¹₄ x 96
= 24

Number of beads that Shannon lost to Tammy
= ¹₈ x 96
= 12

Number of beads that Shannon won from Linda
= ¹₂ x 96
= 48

Number of beads that Shannon had in the end
= 96 + 24 - 12 + 48
= 156

(b)
Number of beads that Linda had at first
= 1 u + 48 + 12 + 24
= 156 + 48 + 12 + 24
= 240 

Answer(s): (a) 156 ; (b) 240