Gwen and Yen have some biscuits each. If Gwen gives Yen 26 biscuits, Gwen will have ²₅ as many biscuits as Yen. If Gwen gives Yen 20 biscuits, they will have an equal number of biscuits. How many biscuits does Gwen have at first?

	Case 1		Case 2
	Gwen	Yen	Gwen	Yen
Before	2 u + 26	5 u - 26	3.5 u + 20	3.5 u - 20
Change	- 26	+ 26	- 20	+ 20
After	2 u	5 u	3.5 u	3.5 u

Total number of biscuits that Gwen and Yen have
= 2 u + 5 u
= 7 u 

Number of biscuits that Gwen and Yen each has in the end is the same.

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

Number of biscuits that Gwen had at first is the same in Case 1 and Case 2.

3.5 u + 20 = 2 u + 26
3.5 u - 2 u = 26 - 20
0.5 u = 6

1 u = 6 ÷ 0.5 = 12

Number of biscuits that Gwen has
= 2 u + 26
= 2 x 12 + 26
= 24 + 26
= 50

Answer(s): 50