Wesley and Zoe has some money each. If Zoe gives Wesley $10, he will have 7 times as much money as her. If Wesley gives Zoe $16, he will have the same amount of money as her. How much money does each person have respectively?

1. Wesley?
2. Zoe?

	Case 1		Case 2
	Wesley	Zoe	Wesley	Zoe
Before	7 u - 10	1 u + 10	4 u + 16	4 u - 16
Change	+ 10	- 10	- 16	+ 16
After	7 u	1 u	4 u	4 u

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

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

Amount that Wesley and Zoe each has in the end in Case 2
= 8 u ÷ 2
= 4 u

The amount that Wesley has at first in Case 1 and Case 2 is the same.
7 u - 10 = 4 u + 16
7 u - 4 u = 16 + 10

1 u = 26

Amount that Wesley has
= 4 u + 16
= 4 x 26 + 16
= 104 + 16
= $120

(b)
Amount that Zoe has
= 1 u + 10
= 26 + 10
= $36

Answer(s): (a) $120; (b) $36