Wesley and Sean were given some allowances each. If Wesley spent $14 each day and Sean spent $28 each day, Wesley would still have $798 left when Sean spent all his allowance. If Wesley spent $28 each day and Sean spent $14 each day, Wesley would still have $42 left when Sean spent all his allowance.

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

	Case 1		Case 2
	Wesley	Sean	Wesley	Sean
Before	1 u + 798	2 u	2 p + 42	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	798	0	42	0

(a)
Simplify the ratio.
14 : 28 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 42 = 1 u + 798
4 u - 1 u = 798 - 42
3 u = 756

1 u = 756 ÷ 3 = 252

Allowance that Wesley received
= 1 u + 798
= 252 + 798
= $1050

(b)
Allowance that Sean received
= 2 u
= 2 x 252
= $504

Answers: (a) $1050; (b) $504