Cole and Neave were given some allowances each. If Cole spent $12 each day and Neave spent $24 each day, Cole would still have $741 left when Neave spent all his allowance. If Cole spent $24 each day and Neave spent $12 each day, Cole would still have $93 left when Neave spent all his allowance.

1. How much allowance did Cole receive?
2. How much allowance did Neave receive?

	Case 1		Case 2
	Cole	Neave	Cole	Neave
Before	1 u + 741	2 u	2 p + 93	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	741	0	93	0

(a)
Simplify the ratio.
12 : 24 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 93 = 1 u + 741
4 u - 1 u = 741 - 93
3 u = 648

1 u = 648 ÷ 3 = 216

Allowance that Cole received
= 1 u + 741
= 216 + 741
= $957

(b)
Allowance that Neave received
= 2 u
= 2 x 216
= $432

Answers: (a) $957; (b) $432