Justin and Tiffany has some money each. If Tiffany gives Justin $12, he will have 3 times as much money as her. If Justin gives Tiffany $14, he will have the same amount of money as her. How much money does each person have respectively?

1. Justin?
2. Tiffany?

	Case 1		Case 2
	Justin	Tiffany	Justin	Tiffany
Before	3 u - 12	1 u + 12	2 u + 14	2 u - 14
Change	+ 12	- 12	- 14	+ 14
After	3 u	1 u	2 u	2 u

(a)
If Tiffany gives Justin some money or Justin gives Tiffany some money, the total amount of money remains the same.  

Total amount that Justin and Tiffany have in the end for both cases
= 3 u + 1 u
= 4 u

Amount that Justin and Tiffany each has in the end in Case 2
= 4 u ÷ 2
= 2 u

The amount that Justin has at first in Case 1 and Case 2 is the same.
3 u - 12 = 2 u + 14
3 u - 2 u = 14 + 12

1 u = 26

Amount that Justin has
= 2 u + 14
= 2 x 26 + 14
= 52 + 14
= $66

(b)
Amount that Tiffany has
= 1 u + 12
= 26 + 12
= $38

Answer(s): (a) $66; (b) $38