If Pamela gives Valen $37, the amount of money she has will be 25% of his. If Valen gives Pamela $11, he will have the same amount of money as her. How much money did each of them have?
(a) Valen
(b) Pamela

	Case 1		Case 2
	Valen	Pamela	Valen	Pamela
Before	4 u - 37	1 u + 37	2.5 u + 11	2.5 u - 11
Change	+ 37	- 37	- 11	+ 11
After	4 u	1 u	2.5 u	2.5 u

(a)
25% = ²⁵₁₀₀ = ¹₄

In Case 1, when Pamela gives to Valen, there is an internal transfer of money from Pamela to Valen.  The total amount that both have remains the same.

In Case 2, when Valen gives to Pamela, there is an internal transfer of money from Valen to Pamela. The total amount that both have remains the same.

The total amount that both have in Case 1 and Case 2 are the same.

Total amount that Pamela and Valen have
= 4 u + 1 u
= 5 u

Amount that Pamela and Valen each has in the end for Case 2
= 5 u ÷ 2
= 2.5 u

Amount that Valen has at first is the same in Case 1 and Case 2.

4 u - 37 = 2.5 u + 11
4 u - 2.5 u = 11 + 37
1.5 u = 48 

1 u = 48 ÷ 1.5 = 32

Amount that Valen has
= 4 u - 37
= 4 x 32 - 37
= 128 - 37
= $91 

(b)
Amount that Pamela has
= 1 u + 37
= 1 x 32 + 37
= 32 + 37
= $69

Answer(s): (a) $91; (b) $69