Jane, Linda and Rachel were playing with beads. Jane started with 40 beads and in the first game, she won ²₅ more beads from Linda. In the second game, Jane lost ¹₈ of her original number of beads to Rachel. Linda lost as many beads as Jane to Rachel. In the final game, Jane won ¹₄ of her original number of beads from Linda. All of them ended up with the same number of beads.

1. How many beads did Jane have in the end?
2. How many beads did Linda have at first?

	Jane	Linda	Rachel
Before	40
First game	+ 16	- 16
Second game	- 5		+ 5
		- 5	+ 5
Final game	+ 10	- 10
After	1 u	1 u	1 u

(a)
Number of beads that Jane won from Linda
= ²₅ x 40
= 16

Number of beads that Jane lost to Rachel
= ¹₈ x 40
= 5

Number of beads that Jane won from Linda
= ¹₄ x 40
= 10

Number of beads that Jane had in the end
= 40 + 16 - 5 + 10
= 61

(b)
Number of beads that Linda had at first
= 1 u + 10 + 5 + 16
= 61 + 10 + 5 + 16
= 92 

Answer(s): (a) 61 ; (b) 92