If Tiffany gives Eric $14, the amount of money she has will be 25% of his. If Eric gives Tiffany $22, he will have the same amount of money as her. How much money did each of them have?
(a) Eric
(b) Tiffany

	Case 1		Case 2
	Eric	Tiffany	Eric	Tiffany
Before	4 u - 14	1 u + 14	2.5 u + 22	2.5 u - 22
Change	+ 14	- 14	- 22	+ 22
After	4 u	1 u	2.5 u	2.5 u

(a)
25% = ²⁵₁₀₀ = ¹₄

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

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

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

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

4 u - 14 = 2.5 u + 22
4 u - 2.5 u = 22 + 14
1.5 u = 36 

1 u = 36 ÷ 1.5 = 24

Amount that Eric has
= 4 u - 14
= 4 x 24 - 14
= 96 - 14
= $82 

(b)
Amount that Tiffany has
= 1 u + 14
= 1 x 24 + 14
= 24 + 14
= $38

Answer(s): (a) $82; (b) $38