Fiona, Abi and Marion were playing with beads. Fiona started with 72 beads and in the first game, she won ¹₂ more beads from Abi. In the second game, Fiona lost ¹₈ of her original number of beads to Marion. Abi lost as many beads as Fiona to Marion. In the final game, Fiona won ¹₄ of her original number of beads from Abi. All of them ended up with the same number of beads.

1. How many beads did Fiona have in the end?
2. How many beads did Abi have at first?

	Fiona	Abi	Marion
Before	72
First game	+ 36	- 36
Second game	- 9		+ 9
		- 9	+ 9
Final game	+ 18	- 18
After	1 u	1 u	1 u

(a)
Number of beads that Fiona won from Abi
= ¹₂ x 72
= 36

Number of beads that Fiona lost to Marion
= ¹₈ x 72
= 9

Number of beads that Fiona won from Abi
= ¹₄ x 72
= 18

Number of beads that Fiona had in the end
= 72 + 36 - 9 + 18
= 117

(b)
Number of beads that Abi had at first
= 1 u + 18 + 9 + 36
= 117 + 18 + 9 + 36
= 180 

Answer(s): (a) 117 ; (b) 180