Lucy, Cindy and Roshel were playing with beads. Lucy started with 72 beads and in the first game, she won ¹₄ more beads from Cindy. In the second game, Lucy lost ⁵₈ of her original number of beads to Roshel. Cindy lost as many beads as Lucy to Roshel. In the final game, Lucy won ¹₂ of her original number of beads from Cindy. All of them ended up with the same number of beads.

1. How many beads did Lucy have in the end?
2. How many beads did Cindy have at first?

	Lucy	Cindy	Roshel
Before	72
First game	+ 18	- 18
Second game	- 45		+ 45
		- 45	+ 45
Final game	+ 36	- 36
After	1 u	1 u	1 u

(a)
Number of beads that Lucy won from Cindy
= ¹₄ x 72
= 18

Number of beads that Lucy lost to Roshel
= ⁵₈ x 72
= 45

Number of beads that Lucy won from Cindy
= ¹₂ x 72
= 36

Number of beads that Lucy had in the end
= 72 + 18 - 45 + 36
= 81

(b)
Number of beads that Cindy had at first
= 1 u + 36 + 45 + 18
= 81 + 36 + 45 + 18
= 180 

Answer(s): (a) 81 ; (b) 180