If Zara gives George $33, the amount of money she has will be 25% of his. If George gives Zara $36, he will have the same amount of money as her. How much money did each of them have?
(a) George
(b) Zara

	Case 1		Case 2
	George	Zara	George	Zara
Before	4 u - 33	1 u + 33	2.5 u + 36	2.5 u - 36
Change	+ 33	- 33	- 36	+ 36
After	4 u	1 u	2.5 u	2.5 u

(a)
25% = ²⁵₁₀₀ = ¹₄

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

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

Amount that Zara and George each has in the end for Case 2
= 5 u ÷ 2
= 2.5 u

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

4 u - 33 = 2.5 u + 36
4 u - 2.5 u = 36 + 33
1.5 u = 69 

1 u = 69 ÷ 1.5 = 46

Amount that George has
= 4 u - 33
= 4 x 46 - 33
= 184 - 33
= $151 

(b)
Amount that Zara has
= 1 u + 33
= 1 x 46 + 33
= 46 + 33
= $79

Answer(s): (a) $151; (b) $79