Gabby, Abi and Tina were playing with beads. Gabby started with 56 beads and in the first game, she won ³₄ more beads from Abi. In the second game, Gabby lost ¹₈ of her original number of beads to Tina. Abi lost as many beads as Gabby to Tina. In the final game, Gabby won ¹₂ of her original number of beads from Abi. 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 Abi have at first?

	Gabby	Abi	Tina
Before	56
First game	+ 42	- 42
Second game	- 7		+ 7
		- 7	+ 7
Final game	+ 28	- 28
After	1 u	1 u	1 u

(a)
Number of beads that Gabby won from Abi
= ³₄ x 56
= 42

Number of beads that Gabby lost to Tina
= ¹₈ x 56
= 7

Number of beads that Gabby won from Abi
= ¹₂ x 56
= 28

Number of beads that Gabby had in the end
= 56 + 42 - 7 + 28
= 119

(b)
Number of beads that Abi had at first
= 1 u + 28 + 7 + 42
= 119 + 28 + 7 + 42
= 196 

Answer(s): (a) 119 ; (b) 196