Carl and Nora has some money each. If Nora gives Carl $16, he will have 7 times as much money as her. If Carl gives Nora $11, he will have the same amount of money as her. How much money does each person have respectively?

1. Carl?
2. Nora?

	Case 1		Case 2
	Carl	Nora	Carl	Nora
Before	7 u - 16	1 u + 16	4 u + 11	4 u - 11
Change	+ 16	- 16	- 11	+ 11
After	7 u	1 u	4 u	4 u

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

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

Amount that Carl and Nora each has in the end in Case 2
= 8 u ÷ 2
= 4 u

The amount that Carl has at first in Case 1 and Case 2 is the same.
7 u - 16 = 4 u + 11
7 u - 4 u = 11 + 16

1 u = 27

Amount that Carl has
= 4 u + 11
= 4 x 27 + 11
= 108 + 11
= $119

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

Answer(s): (a) $119; (b) $43