Tina, Shiyun and Anna were playing with beads. Tina started with 72 beads and in the first game, she won ³₄ more beads from Shiyun. In the second game, Tina lost ³₈ of her original number of beads to Anna. Shiyun lost as many beads as Tina to Anna. In the final game, Tina won ¹₂ of her original number of beads from Shiyun. All of them ended up with the same number of beads.

1. How many beads did Tina have in the end?
2. How many beads did Shiyun have at first?

	Tina	Shiyun	Anna
Before	72
First game	+ 54	- 54
Second game	- 27		+ 27
		- 27	+ 27
Final game	+ 36	- 36
After	1 u	1 u	1 u

(a)
Number of beads that Tina won from Shiyun
= ³₄ x 72
= 54

Number of beads that Tina lost to Anna
= ³₈ x 72
= 27

Number of beads that Tina won from Shiyun
= ¹₂ x 72
= 36

Number of beads that Tina had in the end
= 72 + 54 - 27 + 36
= 135

(b)
Number of beads that Shiyun had at first
= 1 u + 36 + 27 + 54
= 135 + 36 + 27 + 54
= 252 

Answer(s): (a) 135 ; (b) 252