Julie, Tiffany and Gem were playing with beads. Julie started with 96 beads and in the first game, she won ¹₂ more beads from Tiffany. In the second game, Julie lost ¹₈ of her original number of beads to Gem. Tiffany lost as many beads as Julie to Gem. In the final game, Julie won ¹₄ of her original number of beads from Tiffany. All of them ended up with the same number of beads.

1. How many beads did Julie have in the end?
2. How many beads did Tiffany have at first?

	Julie	Tiffany	Gem
Before	96
First game	+ 48	- 48
Second game	- 12		+ 12
		- 12	+ 12
Final game	+ 24	- 24
After	1 u	1 u	1 u

(a)
Number of beads that Julie won from Tiffany
= ¹₂ x 96
= 48

Number of beads that Julie lost to Gem
= ¹₈ x 96
= 12

Number of beads that Julie won from Tiffany
= ¹₄ x 96
= 24

Number of beads that Julie had in the end
= 96 + 48 - 12 + 24
= 156

(b)
Number of beads that Tiffany had at first
= 1 u + 24 + 12 + 48
= 156 + 24 + 12 + 48
= 240 

Answer(s): (a) 156 ; (b) 240