Cody and Will were given some allowances each. If Cody spent $11 each day and Will spent $33 each day, Cody would still have $2196 left when Will spent all his allowance. If Cody spent $33 each day and Will spent $11 each day, Cody would still have $84 left when Will spent all his allowance.

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

	Case 1		Case 2
	Cody	Will	Cody	Will
Before	1 u + 2196	3 u	3 p + 84	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2196	0	84	0

(a)
Simplify the ratio.
11 : 33 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 84 = 1 u + 2196
9 u - 1 u = 2196 - 84
8 u = 2112

1 u = 2112 ÷ 8 = 264

Allowance that Cody received
= 1 u + 2196
= 264 + 2196
= $2460

(b)
Allowance that Will received
= 3 u
= 3 x 264
= $792

Answers: (a) $2460; (b) $792