Fanny, Tiffany and Diana were playing with beads. Fanny started with 40 beads and in the first game, she won ²₅ more beads from Tiffany. In the second game, Fanny lost ³₈ of her original number of beads to Diana. Tiffany lost as many beads as Fanny to Diana. In the final game, Fanny won ¹₅ of her original number of beads from Tiffany. All of them ended up with the same number of beads.

1. How many beads did Fanny have in the end?
2. How many beads did Tiffany have at first?

	Fanny	Tiffany	Diana
Before	40
First game	+ 16	- 16
Second game	- 15		+ 15
		- 15	+ 15
Final game	+ 8	- 8
After	1 u	1 u	1 u

(a)
Number of beads that Fanny won from Tiffany
= ²₅ x 40
= 16

Number of beads that Fanny lost to Diana
= ³₈ x 40
= 15

Number of beads that Fanny won from Tiffany
= ¹₅ x 40
= 8

Number of beads that Fanny had in the end
= 40 + 16 - 15 + 8
= 49

(b)
Number of beads that Tiffany had at first
= 1 u + 8 + 15 + 16
= 49 + 8 + 15 + 16
= 88 

Answer(s): (a) 49 ; (b) 88