Wesley and Eric were given some allowances each. If Wesley spent $14 each day and Eric spent $42 each day, Wesley would still have $950 left when Eric spent all his allowance. If Wesley spent $42 each day and Eric spent $14 each day, Wesley would still have $54 left when Eric spent all his allowance.

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

	Case 1		Case 2
	Wesley	Eric	Wesley	Eric
Before	1 u + 950	3 u	3 p + 54	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	950	0	54	0

(a)
Simplify the ratio.
14 : 42 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 54 = 1 u + 950
9 u - 1 u = 950 - 54
8 u = 896

1 u = 896 ÷ 8 = 112

Allowance that Wesley received
= 1 u + 950
= 112 + 950
= $1062

(b)
Allowance that Eric received
= 3 u
= 3 x 112
= $336

Answers: (a) $1062; (b) $336