Irene, Min and Gabby were playing with beads. Irene started with 64 beads and in the first game, she won ³₄ more beads from Min. In the second game, Irene lost ⁵₈ of her original number of beads to Gabby. Min lost as many beads as Irene to Gabby. In the final game, Irene won ¹₄ of her original number of beads from Min. All of them ended up with the same number of beads.

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

	Irene	Min	Gabby
Before	64
First game	+ 48	- 48
Second game	- 40		+ 40
		- 40	+ 40
Final game	+ 16	- 16
After	1 u	1 u	1 u

(a)
Number of beads that Irene won from Min
= ³₄ x 64
= 48

Number of beads that Irene lost to Gabby
= ⁵₈ x 64
= 40

Number of beads that Irene won from Min
= ¹₄ x 64
= 16

Number of beads that Irene had in the end
= 64 + 48 - 40 + 16
= 88

(b)
Number of beads that Min had at first
= 1 u + 16 + 40 + 48
= 88 + 16 + 40 + 48
= 192 

Answer(s): (a) 88 ; (b) 192