Hazel, Wendy and Marion were playing with beads. Hazel started with 80 beads and in the first game, she won ²₅ more beads from Wendy. In the second game, Hazel lost ³₈ of her original number of beads to Marion. Wendy lost as many beads as Hazel to Marion. In the final game, Hazel won ¹₄ of her original number of beads from Wendy. 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 Wendy have at first?

	Hazel	Wendy	Marion
Before	80
First game	+ 32	- 32
Second game	- 30		+ 30
		- 30	+ 30
Final game	+ 20	- 20
After	1 u	1 u	1 u

(a)
Number of beads that Hazel won from Wendy
= ²₅ x 80
= 32

Number of beads that Hazel lost to Marion
= ³₈ x 80
= 30

Number of beads that Hazel won from Wendy
= ¹₄ x 80
= 20

Number of beads that Hazel had in the end
= 80 + 32 - 30 + 20
= 102

(b)
Number of beads that Wendy had at first
= 1 u + 20 + 30 + 32
= 102 + 20 + 30 + 32
= 184 

Answer(s): (a) 102 ; (b) 184