Zane and Shannon has some money each. If Shannon gives Zane $18, he will have 5 times as much money as her. If Zane gives Shannon $19, he will have the same amount of money as her. How much money does each person have respectively?

1. Zane?
2. Shannon?

	Case 1		Case 2
	Zane	Shannon	Zane	Shannon
Before	5 u - 18	1 u + 18	3 u + 19	3 u - 19
Change	+ 18	- 18	- 19	+ 19
After	5 u	1 u	3 u	3 u

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

Total amount that Zane and Shannon have in the end for both cases
= 5 u + 1 u
= 6 u

Amount that Zane and Shannon each has in the end in Case 2
= 6 u ÷ 2
= 3 u

The amount that Zane has at first in Case 1 and Case 2 is the same.
5 u - 18 = 3 u + 19
5 u - 3 u = 19 + 18

1 u = 37

Amount that Zane has
= 3 u + 19
= 3 x 37 + 19
= 111 + 19
= $130

(b)
Amount that Shannon has
= 1 u + 18
= 37 + 18
= $55

Answer(s): (a) $130; (b) $55