Lynn, Zara and Lucy were playing with beads. Lynn started with 24 beads and in the first game, she won ³₄ more beads from Zara. In the second game, Lynn lost ¹₈ of her original number of beads to Lucy. Zara lost as many beads as Lynn to Lucy. In the final game, Lynn won ¹₄ of her original number of beads from Zara. All of them ended up with the same number of beads.

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

	Lynn	Zara	Lucy
Before	24
First game	+ 18	- 18
Second game	- 3		+ 3
		- 3	+ 3
Final game	+ 6	- 6
After	1 u	1 u	1 u

(a)
Number of beads that Lynn won from Zara
= ³₄ x 24
= 18

Number of beads that Lynn lost to Lucy
= ¹₈ x 24
= 3

Number of beads that Lynn won from Zara
= ¹₄ x 24
= 6

Number of beads that Lynn had in the end
= 24 + 18 - 3 + 6
= 45

(b)
Number of beads that Zara had at first
= 1 u + 6 + 3 + 18
= 45 + 6 + 3 + 18
= 72 

Answer(s): (a) 45 ; (b) 72