If Eva gives Reggie $26, the amount of money she has will be 40% of his. If Reggie gives Eva $16, he will have the same amount of money as her. How much money did each of them have?
(a) Reggie
(b) Eva

	Case 1		Case 2
	Reggie	Eva	Reggie	Eva
Before	5 u - 26	2 u + 26	3.5 u + 16	3.5 u - 16
Change	+ 26	- 26	- 16	+ 16
After	5 u	2 u	3.5 u	3.5 u

(a)
40% = ⁴⁰₁₀₀ = ²₅

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

In Case 2, when Reggie gives to Eva, there is an internal transfer of money from Reggie to Eva. 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 Eva and Reggie have
= 5 u + 2 u
= 7 u

Amount that Eva and Reggie each has in the end for Case 2
= 7 u ÷ 2
= 3.5 u

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

5 u - 26 = 3.5 u + 16
5 u - 3.5 u = 16 + 26
1.5 u = 42 

1 u = 42 ÷ 1.5 = 28

Amount that Reggie has
= 5 u - 26
= 5 x 28 - 26
= 140 - 26
= $114 

(b)
Amount that Eva has
= 2 u + 26
= 2 x 28 + 26
= 56 + 26
= $82

Answer(s): (a) $114; (b) $82