Will and Lee were given some allowances each. If Will spent $11 each day and Lee spent $22 each day, Will would still have $505 left when Lee spent all his allowance. If Will spent $22 each day and Lee spent $11 each day, Will would still have $76 left when Lee spent all his allowance.

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

	Case 1		Case 2
	Will	Lee	Will	Lee
Before	1 u + 505	2 u	2 p + 76	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	505	0	76	0

(a)
Simplify the ratio.
11 : 22 = 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 Will had at first is the same for Case 1 and Case 2.

4 u + 76 = 1 u + 505
4 u - 1 u = 505 - 76
3 u = 429

1 u = 429 ÷ 3 = 143

Allowance that Will received
= 1 u + 505
= 143 + 505
= $648

(b)
Allowance that Lee received
= 2 u
= 2 x 143
= $286

Answers: (a) $648; (b) $286