If Jaslyn gives George $39, the amount of money she has will be 25% of his. If George gives Jaslyn $9, he will have the same amount of money as her. How much money did each of them have?
(a) George
(b) Jaslyn

	Case 1		Case 2
	George	Jaslyn	George	Jaslyn
Before	4 u - 39	1 u + 39	2.5 u + 9	2.5 u - 9
Change	+ 39	- 39	- 9	+ 9
After	4 u	1 u	2.5 u	2.5 u

(a)
25% = ²⁵₁₀₀ = ¹₄

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

In Case 2, when George gives to Jaslyn, there is an internal transfer of money from George to Jaslyn. 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 Jaslyn and George have
= 4 u + 1 u
= 5 u

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

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

4 u - 39 = 2.5 u + 9
4 u - 2.5 u = 9 + 39
1.5 u = 48 

1 u = 48 ÷ 1.5 = 32

Amount that George has
= 4 u - 39
= 4 x 32 - 39
= 128 - 39
= $89 

(b)
Amount that Jaslyn has
= 1 u + 39
= 1 x 32 + 39
= 32 + 39
= $71

Answer(s): (a) $89; (b) $71