Oscar and Asher were given some allowances each. If Oscar spent $26 each day and Asher spent $52 each day, Oscar would still have $525 left when Asher spent all his allowance. If Oscar spent $52 each day and Asher spent $26 each day, Oscar would still have $57 left when Asher spent all his allowance.

1. How much allowance did Oscar receive?
2. How much allowance did Asher receive?

	Case 1		Case 2
	Oscar	Asher	Oscar	Asher
Before	1 u + 525	2 u	2 p + 57	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	525	0	57	0

(a)
Simplify the ratio.
26 : 52 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 57 = 1 u + 525
4 u - 1 u = 525 - 57
3 u = 468

1 u = 468 ÷ 3 = 156

Allowance that Oscar received
= 1 u + 525
= 156 + 525
= $681

(b)
Allowance that Asher received
= 2 u
= 2 x 156
= $312

Answers: (a) $681; (b) $312