Pamela, Dana and Yoko were playing with beads. Pamela started with 96 beads and in the first game, she won ²₃ more beads from Dana. In the second game, Pamela lost ¹₈ of her original number of beads to Yoko. Dana lost as many beads as Pamela to Yoko. In the final game, Pamela won ¹₂ of her original number of beads from Dana. All of them ended up with the same number of beads.

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

	Pamela	Dana	Yoko
Before	96
First game	+ 64	- 64
Second game	- 12		+ 12
		- 12	+ 12
Final game	+ 48	- 48
After	1 u	1 u	1 u

(a)
Number of beads that Pamela won from Dana
= ²₃ x 96
= 64

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

Number of beads that Pamela won from Dana
= ¹₂ x 96
= 48

Number of beads that Pamela had in the end
= 96 + 64 - 12 + 48
= 196

(b)
Number of beads that Dana had at first
= 1 u + 48 + 12 + 64
= 196 + 48 + 12 + 64
= 320 

Answer(s): (a) 196 ; (b) 320