Fabian and Dylan were given some allowances each. If Fabian spent $11 each day and Dylan spent $22 each day, Fabian would still have $806 left when Dylan spent all his allowance. If Fabian spent $22 each day and Dylan spent $11 each day, Fabian would still have $80 left when Dylan spent all his allowance.

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

	Case 1		Case 2
	Fabian	Dylan	Fabian	Dylan
Before	1 u + 806	2 u	2 p + 80	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	806	0	80	0

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

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

1 p = 2 u
2 p = 4 u

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

4 u + 80 = 1 u + 806
4 u - 1 u = 806 - 80
3 u = 726

1 u = 726 ÷ 3 = 242

Allowance that Fabian received
= 1 u + 806
= 242 + 806
= $1048

(b)
Allowance that Dylan received
= 2 u
= 2 x 242
= $484

Answers: (a) $1048; (b) $484