Nick and Cody were given some allowances each. If Nick spent $13 each day and Cody spent $26 each day, Nick would still have $435 left when Cody spent all his allowance. If Nick spent $26 each day and Cody spent $13 each day, Nick would still have $84 left when Cody spent all his allowance.

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

	Case 1		Case 2
	Nick	Cody	Nick	Cody
Before	1 u + 435	2 u	2 p + 84	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	435	0	84	0

(a)
Simplify the ratio.
13 : 26 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 84 = 1 u + 435
4 u - 1 u = 435 - 84
3 u = 351

1 u = 351 ÷ 3 = 117

Allowance that Nick received
= 1 u + 435
= 117 + 435
= $552

(b)
Allowance that Cody received
= 2 u
= 2 x 117
= $234

Answers: (a) $552; (b) $234