Cody and Archie were given some allowances each. If Cody spent $10 each day and Archie spent $30 each day, Cody would still have $2377 left when Archie spent all his allowance. If Cody spent $30 each day and Archie spent $10 each day, Cody would still have $57 left when Archie spent all his allowance.

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

	Case 1		Case 2
	Cody	Archie	Cody	Archie
Before	1 u + 2377	3 u	3 p + 57	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2377	0	57	0

(a)
Simplify the ratio.
10 : 30 = 1 : 3

The allowance that Archie 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 + 57 = 1 u + 2377
9 u - 1 u = 2377 - 57
8 u = 2320

1 u = 2320 ÷ 8 = 290

Allowance that Cody received
= 1 u + 2377
= 290 + 2377
= $2667

(b)
Allowance that Archie received
= 3 u
= 3 x 290
= $870

Answers: (a) $2667; (b) $870