If Wendy gives Tom $36, the amount of money she has will be 30% of his. If Tom gives Wendy $76, he will have the same amount of money as her. How much money did each of them have?
(a) Tom
(b) Wendy

	Case 1		Case 2
	Tom	Wendy	Tom	Wendy
Before	10 u - 36	3 u + 36	6.5 u + 76	6.5 u - 76
Change	+ 36	- 36	- 76	+ 76
After	10 u	3 u	6.5 u	6.5 u

(a)
30% = ³⁰₁₀₀ = ³₁₀

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

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

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

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

10 u - 36 = 6.5 u + 76
10 u - 6.5 u = 76 + 36
3.5 u = 112 

1 u = 112 ÷ 3.5 = 32

Amount that Tom has
= 10 u - 36
= 10 x 32 - 36
= 320 - 36
= $284 

(b)
Amount that Wendy has
= 3 u + 36
= 3 x 32 + 36
= 96 + 36
= $132

Answer(s): (a) $284; (b) $132