George and Carl were given some allowances each. If George spent $22 each day and Carl spent $44 each day, George would still have $1045 left when Carl spent all his allowance. If George spent $44 each day and Carl spent $22 each day, George would still have $55 left when Carl spent all his allowance.

1. How much allowance did George receive?
2. How much allowance did Carl receive?

	Case 1		Case 2
	George	Carl	George	Carl
Before	1 u + 1045	2 u	2 p + 55	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1045	0	55	0

(a)
Simplify the ratio.
22 : 44 = 1 : 2

The allowance that Carl had at first is the same for Case 1 and Case 2.

1 p = 2 u
2 p = 4 u

The allowance that George had at first is the same for Case 1 and Case 2.

4 u + 55 = 1 u + 1045
4 u - 1 u = 1045 - 55
3 u = 990

1 u = 990 ÷ 3 = 330

Allowance that George received
= 1 u + 1045
= 330 + 1045
= $1375

(b)
Allowance that Carl received
= 2 u
= 2 x 330
= $660

Answers: (a) $1375; (b) $660