Caden and Min has some money each. If Min gives Caden $14, he will have 7 times as much money as her. If Caden gives Min $16, he will have the same amount of money as her. How much money does each person have respectively?

1. Caden?
2. Min?

	Case 1		Case 2
	Caden	Min	Caden	Min
Before	7 u - 14	1 u + 14	4 u + 16	4 u - 16
Change	+ 14	- 14	- 16	+ 16
After	7 u	1 u	4 u	4 u

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

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

Amount that Caden and Min each has in the end in Case 2
= 8 u ÷ 2
= 4 u

The amount that Caden has at first in Case 1 and Case 2 is the same.
7 u - 14 = 4 u + 16
7 u - 4 u = 16 + 14

1 u = 30

Amount that Caden has
= 4 u + 16
= 4 x 30 + 16
= 120 + 16
= $136

(b)
Amount that Min has
= 1 u + 14
= 30 + 14
= $44

Answer(s): (a) $136; (b) $44