Irene, Fanny and Emma were playing with beads. Irene started with 35 beads and in the first game, she won ²₅ more beads from Fanny. In the second game, Irene lost ⁴₇ of her original number of beads to Emma. Fanny lost as many beads as Irene to Emma. In the final game, Irene 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 Irene have in the end?
2. How many beads did Fanny have at first?

	Irene	Fanny	Emma
Before	35
First game	+ 14	- 14
Second game	- 20		+ 20
		- 20	+ 20
Final game	+ 7	- 7
After	1 u	1 u	1 u

(a)
Number of beads that Irene won from Fanny
= ²₅ x 35
= 14

Number of beads that Irene lost to Emma
= ⁴₇ x 35
= 20

Number of beads that Irene won from Fanny
= ¹₅ x 35
= 7

Number of beads that Irene had in the end
= 35 + 14 - 20 + 7
= 36

(b)
Number of beads that Fanny had at first
= 1 u + 7 + 20 + 14
= 36 + 7 + 20 + 14
= 77 

Answer(s): (a) 36 ; (b) 77