Jade, Gwen and Pamela were playing with beads. Jade started with 84 beads and in the first game, she won ³₄ more beads from Gwen. In the second game, Jade lost ³₇ of her original number of beads to Pamela. Gwen lost as many beads as Jade to Pamela. In the final game, Jade won ¹₄ of her original number of beads from Gwen. All of them ended up with the same number of beads.

1. How many beads did Jade have in the end?
2. How many beads did Gwen have at first?

	Jade	Gwen	Pamela
Before	84
First game	+ 63	- 63
Second game	- 36		+ 36
		- 36	+ 36
Final game	+ 21	- 21
After	1 u	1 u	1 u

(a)
Number of beads that Jade won from Gwen
= ³₄ x 84
= 63

Number of beads that Jade lost to Pamela
= ³₇ x 84
= 36

Number of beads that Jade won from Gwen
= ¹₄ x 84
= 21

Number of beads that Jade had in the end
= 84 + 63 - 36 + 21
= 132

(b)
Number of beads that Gwen had at first
= 1 u + 21 + 36 + 63
= 132 + 21 + 36 + 63
= 252 

Answer(s): (a) 132 ; (b) 252