Cody and George were given some allowances each. If Cody spent $11 each day and George spent $22 each day, Cody would still have $1136 left when George spent all his allowance. If Cody spent $22 each day and George spent $11 each day, Cody would still have $47 left when George spent all his allowance.

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

	Case 1		Case 2
	Cody	George	Cody	George
Before	1 u + 1136	2 u	2 p + 47	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1136	0	47	0

(a)
Simplify the ratio.
11 : 22 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 47 = 1 u + 1136
4 u - 1 u = 1136 - 47
3 u = 1089

1 u = 1089 ÷ 3 = 363

Allowance that Cody received
= 1 u + 1136
= 363 + 1136
= $1499

(b)
Allowance that George received
= 2 u
= 2 x 363
= $726

Answers: (a) $1499; (b) $726