Joelle, Sabrina and Kylie were playing with beads. Joelle started with 70 beads and in the first game, she won ³₅ more beads from Sabrina. In the second game, Joelle lost ²₇ of her original number of beads to Kylie. Sabrina lost as many beads as Joelle to Kylie. In the final game, Joelle won ¹₂ of her original number of beads from Sabrina. All of them ended up with the same number of beads.

1. How many beads did Joelle have in the end?
2. How many beads did Sabrina have at first?

	Joelle	Sabrina	Kylie
Before	70
First game	+ 42	- 42
Second game	- 20		+ 20
		- 20	+ 20
Final game	+ 35	- 35
After	1 u	1 u	1 u

(a)
Number of beads that Joelle won from Sabrina
= ³₅ x 70
= 42

Number of beads that Joelle lost to Kylie
= ²₇ x 70
= 20

Number of beads that Joelle won from Sabrina
= ¹₂ x 70
= 35

Number of beads that Joelle had in the end
= 70 + 42 - 20 + 35
= 127

(b)
Number of beads that Sabrina had at first
= 1 u + 35 + 20 + 42
= 127 + 35 + 20 + 42
= 224 

Answer(s): (a) 127 ; (b) 224