Emma, Jean and Jade were playing with beads. Emma started with 40 beads and in the first game, she won ³₅ more beads from Jean. In the second game, Emma lost ¹₈ of her original number of beads to Jade. Jean lost as many beads as Emma to Jade. In the final game, Emma won ¹₄ of her original number of beads from Jean. All of them ended up with the same number of beads.

1. How many beads did Emma have in the end?
2. How many beads did Jean have at first?

	Emma	Jean	Jade
Before	40
First game	+ 24	- 24
Second game	- 5		+ 5
		- 5	+ 5
Final game	+ 10	- 10
After	1 u	1 u	1 u

(a)
Number of beads that Emma won from Jean
= ³₅ x 40
= 24

Number of beads that Emma lost to Jade
= ¹₈ x 40
= 5

Number of beads that Emma won from Jean
= ¹₄ x 40
= 10

Number of beads that Emma had in the end
= 40 + 24 - 5 + 10
= 69

(b)
Number of beads that Jean had at first
= 1 u + 10 + 5 + 24
= 69 + 10 + 5 + 24
= 108 

Answer(s): (a) 69 ; (b) 108