George and Lee were given some allowances each. If George spent $25 each day and Lee spent $50 each day, George would still have $1260 left when Lee spent all his allowance. If George spent $50 each day and Lee spent $25 each day, George would still have $60 left when Lee spent all his allowance.

1. How much allowance did George receive?
2. How much allowance did Lee receive?

	Case 1		Case 2
	George	Lee	George	Lee
Before	1 u + 1260	2 u	2 p + 60	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1260	0	60	0

(a)
Simplify the ratio.
25 : 50 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 60 = 1 u + 1260
4 u - 1 u = 1260 - 60
3 u = 1200

1 u = 1200 ÷ 3 = 400

Allowance that George received
= 1 u + 1260
= 400 + 1260
= $1660

(b)
Allowance that Lee received
= 2 u
= 2 x 400
= $800

Answers: (a) $1660; (b) $800