If Marion gives Glen $37, the amount of money she has will be 30% of his. If Glen gives Marion $89, he will have the same amount of money as her. How much money did each of them have?
(a) Glen
(b) Marion

	Case 1		Case 2
	Glen	Marion	Glen	Marion
Before	10 u - 37	3 u + 37	6.5 u + 89	6.5 u - 89
Change	+ 37	- 37	- 89	+ 89
After	10 u	3 u	6.5 u	6.5 u

(a)
30% = ³⁰₁₀₀ = ³₁₀

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

In Case 2, when Glen gives to Marion, there is an internal transfer of money from Glen to Marion. 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 Marion and Glen have
= 10 u + 3 u
= 13 u

Amount that Marion and Glen each has in the end for Case 2
= 13 u ÷ 2
= 6.5 u

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

10 u - 37 = 6.5 u + 89
10 u - 6.5 u = 89 + 37
3.5 u = 126 

1 u = 126 ÷ 3.5 = 36

Amount that Glen has
= 10 u - 37
= 10 x 36 - 37
= 360 - 37
= $323 

(b)
Amount that Marion has
= 3 u + 37
= 3 x 36 + 37
= 108 + 37
= $145

Answer(s): (a) $323; (b) $145