Andy and Neave were given some allowances each. If Andy spent $29 each day and Neave spent $58 each day, Andy would still have $1221 left when Neave spent all his allowance. If Andy spent $58 each day and Neave spent $29 each day, Andy would still have $90 left when Neave spent all his allowance.

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

	Case 1		Case 2
	Andy	Neave	Andy	Neave
Before	1 u + 1221	2 u	2 p + 90	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1221	0	90	0

(a)
Simplify the ratio.
29 : 58 = 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 Andy had at first is the same for Case 1 and Case 2.

4 u + 90 = 1 u + 1221
4 u - 1 u = 1221 - 90
3 u = 1131

1 u = 1131 ÷ 3 = 377

Allowance that Andy received
= 1 u + 1221
= 377 + 1221
= $1598

(b)
Allowance that Neave received
= 2 u
= 2 x 377
= $754

Answers: (a) $1598; (b) $754