If Eva gives Will $35, the amount of money she has will be 40% of his. If Will gives Eva $34, he will have the same amount of money as her. How much money did each of them have?
(a) Will
(b) Eva

	Case 1		Case 2
	Will	Eva	Will	Eva
Before	5 u - 35	2 u + 35	3.5 u + 34	3.5 u - 34
Change	+ 35	- 35	- 34	+ 34
After	5 u	2 u	3.5 u	3.5 u

(a)
40% = ⁴⁰₁₀₀ = ²₅

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

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

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

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

5 u - 35 = 3.5 u + 34
5 u - 3.5 u = 34 + 35
1.5 u = 69 

1 u = 69 ÷ 1.5 = 46

Amount that Will has
= 5 u - 35
= 5 x 46 - 35
= 230 - 35
= $195 

(b)
Amount that Eva has
= 2 u + 35
= 2 x 46 + 35
= 92 + 35
= $127

Answer(s): (a) $195; (b) $127