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

1. How many beads did Risa have in the end?
2. How many beads did Anna have at first?

	Risa	Anna	Emily
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 Risa won from Anna
= ³₄ x 72
= 54

Number of beads that Risa lost to Emily
= ³₈ x 72
= 27

Number of beads that Risa won from Anna
= ¹₂ x 72
= 36

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

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

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