Ben and Zeph were given some allowances each. If Ben spent $20 each day and Zeph spent $40 each day, Ben would still have $925 left when Zeph spent all his allowance. If Ben spent $40 each day and Zeph spent $20 each day, Ben would still have $85 left when Zeph spent all his allowance.

1. How much allowance did Ben receive?
2. How much allowance did Zeph receive?

	Case 1		Case 2
	Ben	Zeph	Ben	Zeph
Before	1 u + 925	2 u	2 p + 85	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	925	0	85	0

(a)
Simplify the ratio.
20 : 40 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 85 = 1 u + 925
4 u - 1 u = 925 - 85
3 u = 840

1 u = 840 ÷ 3 = 280

Allowance that Ben received
= 1 u + 925
= 280 + 925
= $1205

(b)
Allowance that Zeph received
= 2 u
= 2 x 280
= $560

Answers: (a) $1205; (b) $560