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

1. How many beads did Yoko have in the end?
2. How many beads did Ivory have at first?

	Yoko	Ivory	Olivia
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 Yoko won from Ivory
= ¹₂ x 56
= 28

Number of beads that Yoko lost to Olivia
= ³₈ x 56
= 21

Number of beads that Yoko won from Ivory
= ¹₄ x 56
= 14

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

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

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