Julie, Gillian and Jaslyn were playing with beads. Julie started with 40 beads and in the first game, she won ¹₅ more beads from Gillian. In the second game, Julie lost ⁵₈ of her original number of beads to Jaslyn. Gillian lost as many beads as Julie to Jaslyn. In the final game, Julie won ¹₄ of her original number of beads from Gillian. All of them ended up with the same number of beads.

1. How many beads did Julie have in the end?
2. How many beads did Gillian have at first?

	Julie	Gillian	Jaslyn
Before	40
First game	+ 8	- 8
Second game	- 25		+ 25
		- 25	+ 25
Final game	+ 10	- 10
After	1 u	1 u	1 u

(a)
Number of beads that Julie won from Gillian
= ¹₅ x 40
= 8

Number of beads that Julie lost to Jaslyn
= ⁵₈ x 40
= 25

Number of beads that Julie won from Gillian
= ¹₄ x 40
= 10

Number of beads that Julie had in the end
= 40 + 8 - 25 + 10
= 33

(b)
Number of beads that Gillian had at first
= 1 u + 10 + 25 + 8
= 33 + 10 + 25 + 8
= 76 

Answer(s): (a) 33 ; (b) 76