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

1. How many beads did Gillian have in the end?
2. How many beads did Jade have at first?

	Gillian	Jade	Lynn
Before	96
First game	+ 48	- 48
Second game	- 12		+ 12
		- 12	+ 12
Final game	+ 24	- 24
After	1 u	1 u	1 u

(a)
Number of beads that Gillian won from Jade
= ¹₂ x 96
= 48

Number of beads that Gillian lost to Lynn
= ¹₈ x 96
= 12

Number of beads that Gillian won from Jade
= ¹₄ x 96
= 24

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

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

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