Emily, Irene and Jaslyn were playing with beads. Emily started with 96 beads and in the first game, she won ¹₂ more beads from Irene. In the second game, Emily lost ³₈ of her original number of beads to Jaslyn. Irene lost as many beads as Emily to Jaslyn. In the final game, Emily won ¹₃ of her original number of beads from Irene. All of them ended up with the same number of beads.

1. How many beads did Emily have in the end?
2. How many beads did Irene have at first?

	Emily	Irene	Jaslyn
Before	96
First game	+ 48	- 48
Second game	- 36		+ 36
		- 36	+ 36
Final game	+ 32	- 32
After	1 u	1 u	1 u

(a)
Number of beads that Emily won from Irene
= ¹₂ x 96
= 48

Number of beads that Emily lost to Jaslyn
= ³₈ x 96
= 36

Number of beads that Emily won from Irene
= ¹₃ x 96
= 32

Number of beads that Emily had in the end
= 96 + 48 - 36 + 32
= 140

(b)
Number of beads that Irene had at first
= 1 u + 32 + 36 + 48
= 140 + 32 + 36 + 48
= 256 

Answer(s): (a) 140 ; (b) 256