Wendy, Min and Tiffany were playing with beads. Wendy started with 40 beads and in the first game, she won ¹₂ more beads from Min. In the second game, Wendy lost ³₈ of her original number of beads to Tiffany. Min lost as many beads as Wendy to Tiffany. In the final game, Wendy won ¹₄ of her original number of beads from Min. All of them ended up with the same number of beads.

1. How many beads did Wendy have in the end?
2. How many beads did Min have at first?

	Wendy	Min	Tiffany
Before	40
First game	+ 20	- 20
Second game	- 15		+ 15
		- 15	+ 15
Final game	+ 10	- 10
After	1 u	1 u	1 u

(a)
Number of beads that Wendy won from Min
= ¹₂ x 40
= 20

Number of beads that Wendy lost to Tiffany
= ³₈ x 40
= 15

Number of beads that Wendy won from Min
= ¹₄ x 40
= 10

Number of beads that Wendy had in the end
= 40 + 20 - 15 + 10
= 55

(b)
Number of beads that Min had at first
= 1 u + 10 + 15 + 20
= 55 + 10 + 15 + 20
= 100 

Answer(s): (a) 55 ; (b) 100