Erika, Jaslyn and Dana were playing with beads. Erika started with 84 beads and in the first game, she won ¹₃ more beads from Jaslyn. In the second game, Erika lost ²₇ of her original number of beads to Dana. Jaslyn lost as many beads as Erika to Dana. In the final game, Erika won ¹₄ of her original number of beads from Jaslyn. All of them ended up with the same number of beads.

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

	Erika	Jaslyn	Dana
Before	84
First game	+ 28	- 28
Second game	- 24		+ 24
		- 24	+ 24
Final game	+ 21	- 21
After	1 u	1 u	1 u

(a)
Number of beads that Erika won from Jaslyn
= ¹₃ x 84
= 28

Number of beads that Erika lost to Dana
= ²₇ x 84
= 24

Number of beads that Erika won from Jaslyn
= ¹₄ x 84
= 21

Number of beads that Erika had in the end
= 84 + 28 - 24 + 21
= 109

(b)
Number of beads that Jaslyn had at first
= 1 u + 21 + 24 + 28
= 109 + 21 + 24 + 28
= 182 

Answer(s): (a) 109 ; (b) 182