Sam and Anna has some money each. If Anna gives Sam $16, he will have 5 times as much money as her. If Sam gives Anna $19, he will have the same amount of money as her. How much money does each person have respectively?

1. Sam?
2. Anna?

	Case 1		Case 2
	Sam	Anna	Sam	Anna
Before	5 u - 16	1 u + 16	3 u + 19	3 u - 19
Change	+ 16	- 16	- 19	+ 19
After	5 u	1 u	3 u	3 u

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

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

Amount that Sam and Anna each has in the end in Case 2
= 6 u ÷ 2
= 3 u

The amount that Sam has at first in Case 1 and Case 2 is the same.
5 u - 16 = 3 u + 19
5 u - 3 u = 19 + 16

1 u = 35

Amount that Sam has
= 3 u + 19
= 3 x 35 + 19
= 105 + 19
= $124

(b)
Amount that Anna has
= 1 u + 16
= 35 + 16
= $51

Answer(s): (a) $124; (b) $51