Cindy, Gwen and Barbara were playing with beads. Cindy started with 35 beads and in the first game, she won ²₅ more beads from Gwen. In the second game, Cindy lost ³₇ of her original number of beads to Barbara. Gwen lost as many beads as Cindy to Barbara. In the final game, Cindy won ¹₅ of her original number of beads from Gwen. 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 Gwen have at first?

	Cindy	Gwen	Barbara
Before	35
First game	+ 14	- 14
Second game	- 15		+ 15
		- 15	+ 15
Final game	+ 7	- 7
After	1 u	1 u	1 u

(a)
Number of beads that Cindy won from Gwen
= ²₅ x 35
= 14

Number of beads that Cindy lost to Barbara
= ³₇ x 35
= 15

Number of beads that Cindy won from Gwen
= ¹₅ x 35
= 7

Number of beads that Cindy had in the end
= 35 + 14 - 15 + 7
= 41

(b)
Number of beads that Gwen had at first
= 1 u + 7 + 15 + 14
= 41 + 7 + 15 + 14
= 77 

Answer(s): (a) 41 ; (b) 77