Cindy, Tiffany and Emma were playing with beads. Cindy started with 32 beads and in the first game, she won ¹₄ more beads from Tiffany. In the second game, Cindy lost ¹₈ of her original number of beads to Emma. Tiffany lost as many beads as Cindy to Emma. In the final game, Cindy won ¹₂ of her original number of beads from Tiffany. All of them ended up with the same number of beads.

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

	Cindy	Tiffany	Emma
Before	32
First game	+ 8	- 8
Second game	- 4		+ 4
		- 4	+ 4
Final game	+ 16	- 16
After	1 u	1 u	1 u

(a)
Number of beads that Cindy won from Tiffany
= ¹₄ x 32
= 8

Number of beads that Cindy lost to Emma
= ¹₈ x 32
= 4

Number of beads that Cindy won from Tiffany
= ¹₂ x 32
= 16

Number of beads that Cindy had in the end
= 32 + 8 - 4 + 16
= 52

(b)
Number of beads that Tiffany had at first
= 1 u + 16 + 4 + 8
= 52 + 16 + 4 + 8
= 80 

Answer(s): (a) 52 ; (b) 80