Fabian and Cody were given some allowances each. If Fabian spent $10 each day and Cody spent $30 each day, Fabian would still have $2437 left when Cody spent all his allowance. If Fabian spent $30 each day and Cody spent $10 each day, Fabian would still have $37 left when Cody spent all his allowance.

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

	Case 1		Case 2
	Fabian	Cody	Fabian	Cody
Before	1 u + 2437	3 u	3 p + 37	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2437	0	37	0

(a)
Simplify the ratio.
10 : 30 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 37 = 1 u + 2437
9 u - 1 u = 2437 - 37
8 u = 2400

1 u = 2400 ÷ 8 = 300

Allowance that Fabian received
= 1 u + 2437
= 300 + 2437
= $2737

(b)
Allowance that Cody received
= 3 u
= 3 x 300
= $900

Answers: (a) $2737; (b) $900