Carl and George were given some allowances each. If Carl spent $22 each day and George spent $66 each day, Carl would still have $1660 left when George spent all his allowance. If Carl spent $66 each day and George spent $22 each day, Carl would still have $76 left when George spent all his allowance.

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

	Case 1		Case 2
	Carl	George	Carl	George
Before	1 u + 1660	3 u	3 p + 76	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1660	0	76	0

(a)
Simplify the ratio.
22 : 66 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 76 = 1 u + 1660
9 u - 1 u = 1660 - 76
8 u = 1584

1 u = 1584 ÷ 8 = 198

Allowance that Carl received
= 1 u + 1660
= 198 + 1660
= $1858

(b)
Allowance that George received
= 3 u
= 3 x 198
= $594

Answers: (a) $1858; (b) $594