Jade and Gwen have some cookies each. If Jade gives Gwen 19 cookies, Jade will have ²₅ as many cookies as Gwen. If Jade gives Gwen 3 cookies, they will have an equal number of cookies. How many cookies does Gwen have at first?

	Case 1		Case 2
	Jade	Gwen	Jade	Gwen
Before	2 u + 19	5 u - 19	3.5 u + 3	3.5 u - 3
Change	- 19	+ 19	- 3	+ 3
After	2 u	5 u	3.5 u	3.5 u

Total number of cookies that Jade and Gwen have
= 2 u + 5 u
= 7 u 

Number of cookies that Jade and Gwen each has in the end is the same.

Number of cookies that Jade and Gwen each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u

Number of cookies that Jade had at first is the same in Case 1 and Case 2.

3.5 u + 3 = 2 u + 19
3.5 u - 2 u = 19 - 3
0.5 u = 16

1 u = 16 ÷ 0.5 = 32

Number of cookies that Gwen has
= 5 u - 19
= 5 x 32 - 19
= 160 - 19
= 141

Answer(s): 141