Zara, Jade and Jane were playing with beads. Zara started with 56 beads and in the first game, she won ¹₂ more beads from Jade. In the second game, Zara lost ³₈ of her original number of beads to Jane. Jade lost as many beads as Zara to Jane. In the final game, Zara won ¹₄ of her original number of beads from Jade. All of them ended up with the same number of beads.

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

	Zara	Jade	Jane
Before	56
First game	+ 28	- 28
Second game	- 21		+ 21
		- 21	+ 21
Final game	+ 14	- 14
After	1 u	1 u	1 u

(a)
Number of beads that Zara won from Jade
= ¹₂ x 56
= 28

Number of beads that Zara lost to Jane
= ³₈ x 56
= 21

Number of beads that Zara won from Jade
= ¹₄ x 56
= 14

Number of beads that Zara had in the end
= 56 + 28 - 21 + 14
= 77

(b)
Number of beads that Jade had at first
= 1 u + 14 + 21 + 28
= 77 + 14 + 21 + 28
= 140 

Answer(s): (a) 77 ; (b) 140