Eric and Glen were given some allowances each. If Eric spent $27 each day and Glen spent $54 each day, Eric would still have $484 left when Glen spent all his allowance. If Eric spent $54 each day and Glen spent $27 each day, Eric would still have $79 left when Glen spent all his allowance.

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

	Case 1		Case 2
	Eric	Glen	Eric	Glen
Before	1 u + 484	2 u	2 p + 79	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	484	0	79	0

(a)
Simplify the ratio.
27 : 54 = 1 : 2

The allowance that Glen 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 + 484
4 u - 1 u = 484 - 79
3 u = 405

1 u = 405 ÷ 3 = 135

Allowance that Eric received
= 1 u + 484
= 135 + 484
= $619

(b)
Allowance that Glen received
= 2 u
= 2 x 135
= $270

Answers: (a) $619; (b) $270