Neave and Roshel has some money each. If Roshel gives Neave $17, he will have 3 times as much money as her. If Neave gives Roshel $10, he will have the same amount of money as her. How much money does each person have respectively?

1. Neave?
2. Roshel?

	Case 1		Case 2
	Neave	Roshel	Neave	Roshel
Before	3 u - 17	1 u + 17	2 u + 10	2 u - 10
Change	+ 17	- 17	- 10	+ 10
After	3 u	1 u	2 u	2 u

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

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

Amount that Neave and Roshel each has in the end in Case 2
= 4 u ÷ 2
= 2 u

The amount that Neave has at first in Case 1 and Case 2 is the same.
3 u - 17 = 2 u + 10
3 u - 2 u = 10 + 17

1 u = 27

Amount that Neave has
= 2 u + 10
= 2 x 27 + 10
= 54 + 10
= $64

(b)
Amount that Roshel has
= 1 u + 17
= 27 + 17
= $44

Answer(s): (a) $64; (b) $44