Oliver and Anna has some money each. If Anna gives Oliver $10, he will have 7 times as much money as her. If Oliver gives Anna $17, he will have the same amount of money as her. How much money does each person have respectively?

1. Oliver?
2. Anna?

	Case 1		Case 2
	Oliver	Anna	Oliver	Anna
Before	7 u - 10	1 u + 10	4 u + 17	4 u - 17
Change	+ 10	- 10	- 17	+ 17
After	7 u	1 u	4 u	4 u

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

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

Amount that Oliver and Anna each has in the end in Case 2
= 8 u ÷ 2
= 4 u

The amount that Oliver has at first in Case 1 and Case 2 is the same.
7 u - 10 = 4 u + 17
7 u - 4 u = 17 + 10

1 u = 27

Amount that Oliver has
= 4 u + 17
= 4 x 27 + 17
= 108 + 17
= $125

(b)
Amount that Anna has
= 1 u + 10
= 27 + 10
= $37

Answer(s): (a) $125; (b) $37