Tiffany, Jade and Kimberly were playing with beads. Tiffany started with 40 beads and in the first game, she won ¹₂ more beads from Jade. In the second game, Tiffany lost ⁵₈ of her original number of beads to Kimberly. Jade lost as many beads as Tiffany to Kimberly. In the final game, Tiffany won ¹₅ of her original number of beads from Jade. All of them ended up with the same number of beads.

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

	Tiffany	Jade	Kimberly
Before	40
First game	+ 20	- 20
Second game	- 25		+ 25
		- 25	+ 25
Final game	+ 8	- 8
After	1 u	1 u	1 u

(a)
Number of beads that Tiffany won from Jade
= ¹₂ x 40
= 20

Number of beads that Tiffany lost to Kimberly
= ⁵₈ x 40
= 25

Number of beads that Tiffany won from Jade
= ¹₅ x 40
= 8

Number of beads that Tiffany had in the end
= 40 + 20 - 25 + 8
= 43

(b)
Number of beads that Jade had at first
= 1 u + 8 + 25 + 20
= 43 + 8 + 25 + 20
= 96 

Answer(s): (a) 43 ; (b) 96