Lucy, Pamela and Nora were playing with beads. Lucy started with 84 beads and in the first game, she won ¹₃ more beads from Pamela. In the second game, Lucy lost ²₇ of her original number of beads to Nora. Pamela lost as many beads as Lucy to Nora. In the final game, Lucy won ¹₂ of her original number of beads from Pamela. All of them ended up with the same number of beads.

1. How many beads did Lucy have in the end?
2. How many beads did Pamela have at first?

	Lucy	Pamela	Nora
Before	84
First game	+ 28	- 28
Second game	- 24		+ 24
		- 24	+ 24
Final game	+ 42	- 42
After	1 u	1 u	1 u

(a)
Number of beads that Lucy won from Pamela
= ¹₃ x 84
= 28

Number of beads that Lucy lost to Nora
= ²₇ x 84
= 24

Number of beads that Lucy won from Pamela
= ¹₂ x 84
= 42

Number of beads that Lucy had in the end
= 84 + 28 - 24 + 42
= 130

(b)
Number of beads that Pamela had at first
= 1 u + 42 + 24 + 28
= 130 + 42 + 24 + 28
= 224 

Answer(s): (a) 130 ; (b) 224