Lee and Bryan were given some allowances each. If Lee spent $21 each day and Bryan spent $42 each day, Lee would still have $1247 left when Bryan spent all his allowance. If Lee spent $42 each day and Bryan spent $21 each day, Lee would still have $50 left when Bryan spent all his allowance.

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

	Case 1		Case 2
	Lee	Bryan	Lee	Bryan
Before	1 u + 1247	2 u	2 p + 50	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1247	0	50	0

(a)
Simplify the ratio.
21 : 42 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 50 = 1 u + 1247
4 u - 1 u = 1247 - 50
3 u = 1197

1 u = 1197 ÷ 3 = 399

Allowance that Lee received
= 1 u + 1247
= 399 + 1247
= $1646

(b)
Allowance that Bryan received
= 2 u
= 2 x 399
= $798

Answers: (a) $1646; (b) $798