Nicole, Kylie and Zoe were playing with beads. Nicole started with 96 beads and in the first game, she won ³₄ more beads from Kylie. In the second game, Nicole lost ⁵₈ of her original number of beads to Zoe. Kylie lost as many beads as Nicole to Zoe. In the final game, Nicole won ¹₂ of her original number of beads from Kylie. All of them ended up with the same number of beads.

1. How many beads did Nicole have in the end?
2. How many beads did Kylie have at first?

	Nicole	Kylie	Zoe
Before	96
First game	+ 72	- 72
Second game	- 60		+ 60
		- 60	+ 60
Final game	+ 48	- 48
After	1 u	1 u	1 u

(a)
Number of beads that Nicole won from Kylie
= ³₄ x 96
= 72

Number of beads that Nicole lost to Zoe
= ⁵₈ x 96
= 60

Number of beads that Nicole won from Kylie
= ¹₂ x 96
= 48

Number of beads that Nicole had in the end
= 96 + 72 - 60 + 48
= 156

(b)
Number of beads that Kylie had at first
= 1 u + 48 + 60 + 72
= 156 + 48 + 60 + 72
= 336 

Answer(s): (a) 156 ; (b) 336