Jade, Erika and Anna were playing with beads. Jade started with 24 beads and in the first game, she won ²₃ more beads from Erika. In the second game, Jade lost ¹₈ of her original number of beads to Anna. Erika lost as many beads as Jade to Anna. In the final game, Jade won ¹₂ of her original number of beads from Erika. All of them ended up with the same number of beads.

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

	Jade	Erika	Anna
Before	24
First game	+ 16	- 16
Second game	- 3		+ 3
		- 3	+ 3
Final game	+ 12	- 12
After	1 u	1 u	1 u

(a)
Number of beads that Jade won from Erika
= ²₃ x 24
= 16

Number of beads that Jade lost to Anna
= ¹₈ x 24
= 3

Number of beads that Jade won from Erika
= ¹₂ x 24
= 12

Number of beads that Jade had in the end
= 24 + 16 - 3 + 12
= 49

(b)
Number of beads that Erika had at first
= 1 u + 12 + 3 + 16
= 49 + 12 + 3 + 16
= 80 

Answer(s): (a) 49 ; (b) 80