Eric and Zeph were given some allowances each. If Eric spent $11 each day and Zeph spent $22 each day, Eric would still have $607 left when Zeph spent all his allowance. If Eric spent $22 each day and Zeph spent $11 each day, Eric would still have $79 left when Zeph spent all his allowance.

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

	Case 1		Case 2
	Eric	Zeph	Eric	Zeph
Before	1 u + 607	2 u	2 p + 79	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	607	0	79	0

(a)
Simplify the ratio.
11 : 22 = 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 Eric had at first is the same for Case 1 and Case 2.

4 u + 79 = 1 u + 607
4 u - 1 u = 607 - 79
3 u = 528

1 u = 528 ÷ 3 = 176

Allowance that Eric received
= 1 u + 607
= 176 + 607
= $783

(b)
Allowance that Zeph received
= 2 u
= 2 x 176
= $352

Answers: (a) $783; (b) $352