Neave and Daniel were given some allowances each. If Neave spent $14 each day and Daniel spent $28 each day, Neave would still have $1234 left when Daniel spent all his allowance. If Neave spent $28 each day and Daniel spent $14 each day, Neave would still have $58 left when Daniel spent all his allowance.

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

	Case 1		Case 2
	Neave	Daniel	Neave	Daniel
Before	1 u + 1234	2 u	2 p + 58	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1234	0	58	0

(a)
Simplify the ratio.
14 : 28 = 1 : 2

The allowance that Daniel 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 + 58 = 1 u + 1234
4 u - 1 u = 1234 - 58
3 u = 1176

1 u = 1176 ÷ 3 = 392

Allowance that Neave received
= 1 u + 1234
= 392 + 1234
= $1626

(b)
Allowance that Daniel received
= 2 u
= 2 x 392
= $784

Answers: (a) $1626; (b) $784