Albert and Wesley were given some allowances each. If Albert spent $12 each day and Wesley spent $24 each day, Albert would still have $1018 left when Wesley spent all his allowance. If Albert spent $24 each day and Wesley spent $12 each day, Albert would still have $46 left when Wesley spent all his allowance.

1. How much allowance did Albert receive?
2. How much allowance did Wesley receive?

	Case 1		Case 2
	Albert	Wesley	Albert	Wesley
Before	1 u + 1018	2 u	2 p + 46	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1018	0	46	0

(a)
Simplify the ratio.
12 : 24 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 46 = 1 u + 1018
4 u - 1 u = 1018 - 46
3 u = 972

1 u = 972 ÷ 3 = 324

Allowance that Albert received
= 1 u + 1018
= 324 + 1018
= $1342

(b)
Allowance that Wesley received
= 2 u
= 2 x 324
= $648

Answers: (a) $1342; (b) $648