Nora, Pamela and Gwen were playing with beads. Nora started with 48 beads and in the first game, she won ¹₄ more beads from Pamela. In the second game, Nora lost ¹₈ of her original number of beads to Gwen. Pamela lost as many beads as Nora to Gwen. In the final game, Nora won ¹₃ of her original number of beads from Pamela. All of them ended up with the same number of beads.

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

	Nora	Pamela	Gwen
Before	48
First game	+ 12	- 12
Second game	- 6		+ 6
		- 6	+ 6
Final game	+ 16	- 16
After	1 u	1 u	1 u

(a)
Number of beads that Nora won from Pamela
= ¹₄ x 48
= 12

Number of beads that Nora lost to Gwen
= ¹₈ x 48
= 6

Number of beads that Nora won from Pamela
= ¹₃ x 48
= 16

Number of beads that Nora had in the end
= 48 + 12 - 6 + 16
= 70

(b)
Number of beads that Pamela had at first
= 1 u + 16 + 6 + 12
= 70 + 16 + 6 + 12
= 104 

Answer(s): (a) 70 ; (b) 104