Elyse, Fanny and Zara were playing with beads. Elyse started with 70 beads and in the first game, she won ²₅ more beads from Fanny. In the second game, Elyse lost ³₇ of her original number of beads to Zara. Fanny lost as many beads as Elyse to Zara. In the final game, Elyse won ¹₅ of her original number of beads from Fanny. All of them ended up with the same number of beads.

1. How many beads did Elyse have in the end?
2. How many beads did Fanny have at first?

	Elyse	Fanny	Zara
Before	70
First game	+ 28	- 28
Second game	- 30		+ 30
		- 30	+ 30
Final game	+ 14	- 14
After	1 u	1 u	1 u

(a)
Number of beads that Elyse won from Fanny
= ²₅ x 70
= 28

Number of beads that Elyse lost to Zara
= ³₇ x 70
= 30

Number of beads that Elyse won from Fanny
= ¹₅ x 70
= 14

Number of beads that Elyse had in the end
= 70 + 28 - 30 + 14
= 82

(b)
Number of beads that Fanny had at first
= 1 u + 14 + 30 + 28
= 82 + 14 + 30 + 28
= 154 

Answer(s): (a) 82 ; (b) 154