Reggie and Nicole has some money each. If Nicole gives Reggie $16, he will have 5 times as much money as her. If Reggie gives Nicole $11, he will have the same amount of money as her. How much money does each person have respectively?

1. Reggie?
2. Nicole?

	Case 1		Case 2
	Reggie	Nicole	Reggie	Nicole
Before	5 u - 16	1 u + 16	3 u + 11	3 u - 11
Change	+ 16	- 16	- 11	+ 11
After	5 u	1 u	3 u	3 u

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

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

Amount that Reggie and Nicole each has in the end in Case 2
= 6 u ÷ 2
= 3 u

The amount that Reggie has at first in Case 1 and Case 2 is the same.
5 u - 16 = 3 u + 11
5 u - 3 u = 11 + 16

1 u = 27

Amount that Reggie has
= 3 u + 11
= 3 x 27 + 11
= 81 + 11
= $92

(b)
Amount that Nicole has
= 1 u + 16
= 27 + 16
= $43

Answer(s): (a) $92; (b) $43