If Mary gives Reggie $14, the amount of money she has will be 25% of his. If Reggie gives Mary $40, he will have the same amount of money as her. How much money did each of them have?
(a) Reggie
(b) Mary

	Case 1		Case 2
	Reggie	Mary	Reggie	Mary
Before	4 u - 14	1 u + 14	2.5 u + 40	2.5 u - 40
Change	+ 14	- 14	- 40	+ 40
After	4 u	1 u	2.5 u	2.5 u

(a)
25% = ²⁵₁₀₀ = ¹₄

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

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

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

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

4 u - 14 = 2.5 u + 40
4 u - 2.5 u = 40 + 14
1.5 u = 54 

1 u = 54 ÷ 1.5 = 36

Amount that Reggie has
= 4 u - 14
= 4 x 36 - 14
= 144 - 14
= $130 

(b)
Amount that Mary has
= 1 u + 14
= 1 x 36 + 14
= 36 + 14
= $50

Answer(s): (a) $130; (b) $50