Glen and Sam were given some allowances each. If Glen spent $10 each day and Sam spent $20 each day, Glen would still have $589 left when Sam spent all his allowance. If Glen spent $20 each day and Sam spent $10 each day, Glen would still have $49 left when Sam spent all his allowance.

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

	Case 1		Case 2
	Glen	Sam	Glen	Sam
Before	1 u + 589	2 u	2 p + 49	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	589	0	49	0

(a)
Simplify the ratio.
10 : 20 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 49 = 1 u + 589
4 u - 1 u = 589 - 49
3 u = 540

1 u = 540 ÷ 3 = 180

Allowance that Glen received
= 1 u + 589
= 180 + 589
= $769

(b)
Allowance that Sam received
= 2 u
= 2 x 180
= $360

Answers: (a) $769; (b) $360