Oliver and Cody were given some allowances each. If Oliver spent $20 each day and Cody spent $40 each day, Oliver would still have $797 left when Cody spent all his allowance. If Oliver spent $40 each day and Cody spent $20 each day, Oliver would still have $77 left when Cody spent all his allowance.

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

	Case 1		Case 2
	Oliver	Cody	Oliver	Cody
Before	1 u + 797	2 u	2 p + 77	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	797	0	77	0

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

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

1 p = 2 u
2 p = 4 u

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

4 u + 77 = 1 u + 797
4 u - 1 u = 797 - 77
3 u = 720

1 u = 720 ÷ 3 = 240

Allowance that Oliver received
= 1 u + 797
= 240 + 797
= $1037

(b)
Allowance that Cody received
= 2 u
= 2 x 240
= $480

Answers: (a) $1037; (b) $480