If Lynn gives Reggie $16, the amount of money she has will be 25% of his. If Reggie gives Lynn $44, he will have the same amount of money as her. How much money did each of them have?
(a) Reggie
(b) Lynn

	Case 1		Case 2
	Reggie	Lynn	Reggie	Lynn
Before	4 u - 16	1 u + 16	2.5 u + 44	2.5 u - 44
Change	+ 16	- 16	- 44	+ 44
After	4 u	1 u	2.5 u	2.5 u

(a)
25% = ²⁵₁₀₀ = ¹₄

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

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

Amount that Lynn 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 - 16 = 2.5 u + 44
4 u - 2.5 u = 44 + 16
1.5 u = 60 

1 u = 60 ÷ 1.5 = 40

Amount that Reggie has
= 4 u - 16
= 4 x 40 - 16
= 160 - 16
= $144 

(b)
Amount that Lynn has
= 1 u + 16
= 1 x 40 + 16
= 40 + 16
= $56

Answer(s): (a) $144; (b) $56