Harry and Tiffany has some money each. If Tiffany gives Harry $10, he will have 7 times as much money as her. If Harry gives Tiffany $14, he will have the same amount of money as her. How much money does each person have respectively?

1. Harry?
2. Tiffany?

	Case 1		Case 2
	Harry	Tiffany	Harry	Tiffany
Before	7 u - 10	1 u + 10	4 u + 14	4 u - 14
Change	+ 10	- 10	- 14	+ 14
After	7 u	1 u	4 u	4 u

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

Total amount that Harry and Tiffany have in the end for both cases
= 7 u + 1 u
= 8 u

Amount that Harry and Tiffany each has in the end in Case 2
= 8 u ÷ 2
= 4 u

The amount that Harry has at first in Case 1 and Case 2 is the same.
7 u - 10 = 4 u + 14
7 u - 4 u = 14 + 10

1 u = 24

Amount that Harry has
= 4 u + 14
= 4 x 24 + 14
= 96 + 14
= $110

(b)
Amount that Tiffany has
= 1 u + 10
= 24 + 10
= $34

Answer(s): (a) $110; (b) $34