Bryan and Erika has some money each. If Erika gives Bryan $19, he will have 5 times as much money as her. If Bryan gives Erika $14, he will have the same amount of money as her. How much money does each person have respectively?

1. Bryan?
2. Erika?

	Case 1		Case 2
	Bryan	Erika	Bryan	Erika
Before	5 u - 19	1 u + 19	3 u + 14	3 u - 14
Change	+ 19	- 19	- 14	+ 14
After	5 u	1 u	3 u	3 u

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

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

Amount that Bryan and Erika each has in the end in Case 2
= 6 u ÷ 2
= 3 u

The amount that Bryan has at first in Case 1 and Case 2 is the same.
5 u - 19 = 3 u + 14
5 u - 3 u = 14 + 19

1 u = 33

Amount that Bryan has
= 3 u + 14
= 3 x 33 + 14
= 99 + 14
= $113

(b)
Amount that Erika has
= 1 u + 19
= 33 + 19
= $52

Answer(s): (a) $113; (b) $52