Esther, Linda and Yoko were playing with beads. Esther started with 56 beads and in the first game, she won ¹₂ more beads from Linda. In the second game, Esther lost ⁵₇ of her original number of beads to Yoko. Linda lost as many beads as Esther to Yoko. In the final game, Esther won ¹₄ of her original number of beads from Linda. All of them ended up with the same number of beads.

1. How many beads did Esther have in the end?
2. How many beads did Linda have at first?

	Esther	Linda	Yoko
Before	56
First game	+ 28	- 28
Second game	- 40		+ 40
		- 40	+ 40
Final game	+ 14	- 14
After	1 u	1 u	1 u

(a)
Number of beads that Esther won from Linda
= ¹₂ x 56
= 28

Number of beads that Esther lost to Yoko
= ⁵₇ x 56
= 40

Number of beads that Esther won from Linda
= ¹₄ x 56
= 14

Number of beads that Esther had in the end
= 56 + 28 - 40 + 14
= 58

(b)
Number of beads that Linda had at first
= 1 u + 14 + 40 + 28
= 58 + 14 + 40 + 28
= 140 

Answer(s): (a) 58 ; (b) 140