Gabby, Lucy and Jade were playing with beads. Gabby started with 70 beads and in the first game, she won ²₅ more beads from Lucy. In the second game, Gabby lost ⁴₇ of her original number of beads to Jade. Lucy lost as many beads as Gabby to Jade. In the final game, Gabby won ¹₂ of her original number of beads from Lucy. All of them ended up with the same number of beads.

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

	Gabby	Lucy	Jade
Before	70
First game	+ 28	- 28
Second game	- 40		+ 40
		- 40	+ 40
Final game	+ 35	- 35
After	1 u	1 u	1 u

(a)
Number of beads that Gabby won from Lucy
= ²₅ x 70
= 28

Number of beads that Gabby lost to Jade
= ⁴₇ x 70
= 40

Number of beads that Gabby won from Lucy
= ¹₂ x 70
= 35

Number of beads that Gabby had in the end
= 70 + 28 - 40 + 35
= 93

(b)
Number of beads that Lucy had at first
= 1 u + 35 + 40 + 28
= 93 + 35 + 40 + 28
= 196 

Answer(s): (a) 93 ; (b) 196