Warren and Tom were given some allowances each. If Warren spent $13 each day and Tom spent $26 each day, Warren would still have $802 left when Tom spent all his allowance. If Warren spent $26 each day and Tom spent $13 each day, Warren would still have $22 left when Tom spent all his allowance.

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

	Case 1		Case 2
	Warren	Tom	Warren	Tom
Before	1 u + 802	2 u	2 p + 22	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	802	0	22	0

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

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

1 p = 2 u
2 p = 4 u

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

4 u + 22 = 1 u + 802
4 u - 1 u = 802 - 22
3 u = 780

1 u = 780 ÷ 3 = 260

Allowance that Warren received
= 1 u + 802
= 260 + 802
= $1062

(b)
Allowance that Tom received
= 2 u
= 2 x 260
= $520

Answers: (a) $1062; (b) $520