Neave and David were given some allowances each. If Neave spent $12 each day and David spent $24 each day, Neave would still have $520 left when David spent all his allowance. If Neave spent $24 each day and David spent $12 each day, Neave would still have $88 left when David spent all his allowance.

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

	Case 1		Case 2
	Neave	David	Neave	David
Before	1 u + 520	2 u	2 p + 88	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	520	0	88	0

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

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

1 p = 2 u
2 p = 4 u

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

4 u + 88 = 1 u + 520
4 u - 1 u = 520 - 88
3 u = 432

1 u = 432 ÷ 3 = 144

Allowance that Neave received
= 1 u + 520
= 144 + 520
= $664

(b)
Allowance that David received
= 2 u
= 2 x 144
= $288

Answers: (a) $664; (b) $288