Perry and Eva has some money each. If Eva gives Perry $10, he will have 5 times as much money as her. If Perry gives Eva $11, he will have the same amount of money as her. How much money does each person have respectively?

1. Perry?
2. Eva?

	Case 1		Case 2
	Perry	Eva	Perry	Eva
Before	5 u - 10	1 u + 10	3 u + 11	3 u - 11
Change	+ 10	- 10	- 11	+ 11
After	5 u	1 u	3 u	3 u

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

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

Amount that Perry and Eva each has in the end in Case 2
= 6 u ÷ 2
= 3 u

The amount that Perry has at first in Case 1 and Case 2 is the same.
5 u - 10 = 3 u + 11
5 u - 3 u = 11 + 10

1 u = 21

Amount that Perry has
= 3 u + 11
= 3 x 21 + 11
= 63 + 11
= $74

(b)
Amount that Eva has
= 1 u + 10
= 21 + 10
= $31

Answer(s): (a) $74; (b) $31