Cody and Albert were given some allowances each. If Cody spent $25 each day and Albert spent $50 each day, Cody would still have $546 left when Albert spent all his allowance. If Cody spent $50 each day and Albert spent $25 each day, Cody would still have $21 left when Albert spent all his allowance.

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

	Case 1		Case 2
	Cody	Albert	Cody	Albert
Before	1 u + 546	2 u	2 p + 21	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	546	0	21	0

(a)
Simplify the ratio.
25 : 50 = 1 : 2

The allowance that Albert 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 + 21 = 1 u + 546
4 u - 1 u = 546 - 21
3 u = 525

1 u = 525 ÷ 3 = 175

Allowance that Cody received
= 1 u + 546
= 175 + 546
= $721

(b)
Allowance that Albert received
= 2 u
= 2 x 175
= $350

Answers: (a) $721; (b) $350