Hazel, Emma and Yoko were playing with beads. Hazel started with 56 beads and in the first game, she won ³₄ more beads from Emma. In the second game, Hazel lost ¹₈ of her original number of beads to Yoko. Emma lost as many beads as Hazel to Yoko. In the final game, Hazel won ¹₄ of her original number of beads from Emma. All of them ended up with the same number of beads.

1. How many beads did Hazel have in the end?
2. How many beads did Emma have at first?

	Hazel	Emma	Yoko
Before	56
First game	+ 42	- 42
Second game	- 7		+ 7
		- 7	+ 7
Final game	+ 14	- 14
After	1 u	1 u	1 u

(a)
Number of beads that Hazel won from Emma
= ³₄ x 56
= 42

Number of beads that Hazel lost to Yoko
= ¹₈ x 56
= 7

Number of beads that Hazel won from Emma
= ¹₄ x 56
= 14

Number of beads that Hazel had in the end
= 56 + 42 - 7 + 14
= 105

(b)
Number of beads that Emma had at first
= 1 u + 14 + 7 + 42
= 105 + 14 + 7 + 42
= 168 

Answer(s): (a) 105 ; (b) 168