Ivory, Fanny and Linda were playing with beads. Ivory started with 84 beads and in the first game, she won ¹₂ more beads from Fanny. In the second game, Ivory lost ⁶₇ of her original number of beads to Linda. Fanny lost as many beads as Ivory to Linda. In the final game, Ivory won ¹₃ of her original number of beads from Fanny. All of them ended up with the same number of beads.

1. How many beads did Ivory have in the end?
2. How many beads did Fanny have at first?

	Ivory	Fanny	Linda
Before	84
First game	+ 42	- 42
Second game	- 72		+ 72
		- 72	+ 72
Final game	+ 28	- 28
After	1 u	1 u	1 u

(a)
Number of beads that Ivory won from Fanny
= ¹₂ x 84
= 42

Number of beads that Ivory lost to Linda
= ⁶₇ x 84
= 72

Number of beads that Ivory won from Fanny
= ¹₃ x 84
= 28

Number of beads that Ivory had in the end
= 84 + 42 - 72 + 28
= 82

(b)
Number of beads that Fanny had at first
= 1 u + 28 + 72 + 42
= 82 + 28 + 72 + 42
= 224 

Answer(s): (a) 82 ; (b) 224