Jade, Min and Kylie were playing with beads. Jade started with 32 beads and in the first game, she won ³₄ more beads from Min. In the second game, Jade lost ¹₈ of her original number of beads to Kylie. Min lost as many beads as Jade to Kylie. In the final game, Jade won ¹₂ of her original number of beads from Min. All of them ended up with the same number of beads.

1. How many beads did Jade have in the end?
2. How many beads did Min have at first?

	Jade	Min	Kylie
Before	32
First game	+ 24	- 24
Second game	- 4		+ 4
		- 4	+ 4
Final game	+ 16	- 16
After	1 u	1 u	1 u

(a)
Number of beads that Jade won from Min
= ³₄ x 32
= 24

Number of beads that Jade lost to Kylie
= ¹₈ x 32
= 4

Number of beads that Jade won from Min
= ¹₂ x 32
= 16

Number of beads that Jade had in the end
= 32 + 24 - 4 + 16
= 68

(b)
Number of beads that Min had at first
= 1 u + 16 + 4 + 24
= 68 + 16 + 4 + 24
= 112 

Answer(s): (a) 68 ; (b) 112