Irene, Jaslyn and Pamela were playing with beads. Irene started with 96 beads and in the first game, she won ¹₃ more beads from Jaslyn. In the second game, Irene lost ¹₈ of her original number of beads to Pamela. Jaslyn lost as many beads as Irene to Pamela. In the final game, Irene won ¹₄ of her original number of beads from Jaslyn. All of them ended up with the same number of beads.

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

	Irene	Jaslyn	Pamela
Before	96
First game	+ 32	- 32
Second game	- 12		+ 12
		- 12	+ 12
Final game	+ 24	- 24
After	1 u	1 u	1 u

(a)
Number of beads that Irene won from Jaslyn
= ¹₃ x 96
= 32

Number of beads that Irene lost to Pamela
= ¹₈ x 96
= 12

Number of beads that Irene won from Jaslyn
= ¹₄ x 96
= 24

Number of beads that Irene had in the end
= 96 + 32 - 12 + 24
= 140

(b)
Number of beads that Jaslyn had at first
= 1 u + 24 + 12 + 32
= 140 + 24 + 12 + 32
= 208 

Answer(s): (a) 140 ; (b) 208