Will and Jack were given some allowances each. If Will spent $20 each day and Jack spent $40 each day, Will would still have $984 left when Jack spent all his allowance. If Will spent $40 each day and Jack spent $20 each day, Will would still have $24 left when Jack spent all his allowance.

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

	Case 1		Case 2
	Will	Jack	Will	Jack
Before	1 u + 984	2 u	2 p + 24	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	984	0	24	0

(a)
Simplify the ratio.
20 : 40 = 1 : 2

The allowance that Jack 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 + 24 = 1 u + 984
4 u - 1 u = 984 - 24
3 u = 960

1 u = 960 ÷ 3 = 320

Allowance that Will received
= 1 u + 984
= 320 + 984
= $1304

(b)
Allowance that Jack received
= 2 u
= 2 x 320
= $640

Answers: (a) $1304; (b) $640