Jeremy and Yoko has some money each. If Yoko gives Jeremy $13, he will have 3 times as much money as her. If Jeremy gives Yoko $10, he will have the same amount of money as her. How much money does each person have respectively?

1. Jeremy?
2. Yoko?

	Case 1		Case 2
	Jeremy	Yoko	Jeremy	Yoko
Before	3 u - 13	1 u + 13	2 u + 10	2 u - 10
Change	+ 13	- 13	- 10	+ 10
After	3 u	1 u	2 u	2 u

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

Total amount that Jeremy and Yoko have in the end for both cases
= 3 u + 1 u
= 4 u

Amount that Jeremy and Yoko each has in the end in Case 2
= 4 u ÷ 2
= 2 u

The amount that Jeremy has at first in Case 1 and Case 2 is the same.
3 u - 13 = 2 u + 10
3 u - 2 u = 10 + 13

1 u = 23

Amount that Jeremy has
= 2 u + 10
= 2 x 23 + 10
= 46 + 10
= $56

(b)
Amount that Yoko has
= 1 u + 13
= 23 + 13
= $36

Answer(s): (a) $56; (b) $36