Tina, Nicole and Kylie were playing with beads. Tina started with 70 beads and in the first game, she won ¹₅ more beads from Nicole. In the second game, Tina lost ²₇ of her original number of beads to Kylie. Nicole lost as many beads as Tina to Kylie. In the final game, Tina won ¹₂ of her original number of beads from Nicole. All of them ended up with the same number of beads.

1. How many beads did Tina have in the end?
2. How many beads did Nicole have at first?

	Tina	Nicole	Kylie
Before	70
First game	+ 14	- 14
Second game	- 20		+ 20
		- 20	+ 20
Final game	+ 35	- 35
After	1 u	1 u	1 u

(a)
Number of beads that Tina won from Nicole
= ¹₅ x 70
= 14

Number of beads that Tina lost to Kylie
= ²₇ x 70
= 20

Number of beads that Tina won from Nicole
= ¹₂ x 70
= 35

Number of beads that Tina had in the end
= 70 + 14 - 20 + 35
= 99

(b)
Number of beads that Nicole had at first
= 1 u + 35 + 20 + 14
= 99 + 35 + 20 + 14
= 168 

Answer(s): (a) 99 ; (b) 168