Zeph and Jaslyn has some money each. If Jaslyn gives Zeph $19, he will have 7 times as much money as her. If Zeph gives Jaslyn $17, he will have the same amount of money as her. How much money does each person have respectively?

1. Zeph?
2. Jaslyn?

	Case 1		Case 2
	Zeph	Jaslyn	Zeph	Jaslyn
Before	7 u - 19	1 u + 19	4 u + 17	4 u - 17
Change	+ 19	- 19	- 17	+ 17
After	7 u	1 u	4 u	4 u

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

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

Amount that Zeph and Jaslyn each has in the end in Case 2
= 8 u ÷ 2
= 4 u

The amount that Zeph has at first in Case 1 and Case 2 is the same.
7 u - 19 = 4 u + 17
7 u - 4 u = 17 + 19

1 u = 36

Amount that Zeph has
= 4 u + 17
= 4 x 36 + 17
= 144 + 17
= $161

(b)
Amount that Jaslyn has
= 1 u + 19
= 36 + 19
= $55

Answer(s): (a) $161; (b) $55