Tiffany, Shannon and Usha were playing with beads. Tiffany started with 35 beads and in the first game, she won ²₅ more beads from Shannon. In the second game, Tiffany lost ⁶₇ of her original number of beads to Usha. Shannon lost as many beads as Tiffany to Usha. In the final game, Tiffany won ¹₅ of her original number of beads from Shannon. All of them ended up with the same number of beads.

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

	Tiffany	Shannon	Usha
Before	35
First game	+ 14	- 14
Second game	- 30		+ 30
		- 30	+ 30
Final game	+ 7	- 7
After	1 u	1 u	1 u

(a)
Number of beads that Tiffany won from Shannon
= ²₅ x 35
= 14

Number of beads that Tiffany lost to Usha
= ⁶₇ x 35
= 30

Number of beads that Tiffany won from Shannon
= ¹₅ x 35
= 7

Number of beads that Tiffany had in the end
= 35 + 14 - 30 + 7
= 26

(b)
Number of beads that Shannon had at first
= 1 u + 7 + 30 + 14
= 26 + 7 + 30 + 14
= 77 

Answer(s): (a) 26 ; (b) 77