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

1. Vincent?
2. Ivory?

	Case 1		Case 2
	Vincent	Ivory	Vincent	Ivory
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 Ivory gives Vincent some money or Vincent gives Ivory some money, the total amount of money remains the same.  

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

Amount that Vincent and Ivory each has in the end in Case 2
= 6 u ÷ 2
= 3 u

The amount that Vincent 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 Vincent has
= 3 u + 11
= 3 x 27 + 11
= 81 + 11
= $92

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

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