Risa, Linda and Irene were playing with beads. Risa started with 70 beads and in the first game, she won ³₅ more beads from Linda. In the second game, Risa lost ⁴₇ of her original number of beads to Irene. Linda lost as many beads as Risa to Irene. In the final game, Risa won ¹₂ of her original number of beads from Linda. All of them ended up with the same number of beads.

1. How many beads did Risa have in the end?
2. How many beads did Linda have at first?

	Risa	Linda	Irene
Before	70
First game	+ 42	- 42
Second game	- 40		+ 40
		- 40	+ 40
Final game	+ 35	- 35
After	1 u	1 u	1 u

(a)
Number of beads that Risa won from Linda
= ³₅ x 70
= 42

Number of beads that Risa lost to Irene
= ⁴₇ x 70
= 40

Number of beads that Risa won from Linda
= ¹₂ x 70
= 35

Number of beads that Risa had in the end
= 70 + 42 - 40 + 35
= 107

(b)
Number of beads that Linda had at first
= 1 u + 35 + 40 + 42
= 107 + 35 + 40 + 42
= 224 

Answer(s): (a) 107 ; (b) 224