Fabian and Warren were given some allowances each. If Fabian spent $13 each day and Warren spent $26 each day, Fabian would still have $1006 left when Warren spent all his allowance. If Fabian spent $26 each day and Warren spent $13 each day, Fabian would still have $70 left when Warren spent all his allowance.

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

	Case 1		Case 2
	Fabian	Warren	Fabian	Warren
Before	1 u + 1006	2 u	2 p + 70	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1006	0	70	0

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

The allowance that Warren 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 + 70 = 1 u + 1006
4 u - 1 u = 1006 - 70
3 u = 936

1 u = 936 ÷ 3 = 312

Allowance that Fabian received
= 1 u + 1006
= 312 + 1006
= $1318

(b)
Allowance that Warren received
= 2 u
= 2 x 312
= $624

Answers: (a) $1318; (b) $624