David and Daniel were given some allowances each. If David spent $28 each day and Daniel spent $56 each day, David would still have $952 left when Daniel spent all his allowance. If David spent $56 each day and Daniel spent $28 each day, David would still have $28 left when Daniel spent all his allowance.

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

	Case 1		Case 2
	David	Daniel	David	Daniel
Before	1 u + 952	2 u	2 p + 28	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	952	0	28	0

(a)
Simplify the ratio.
28 : 56 = 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 David had at first is the same for Case 1 and Case 2.

4 u + 28 = 1 u + 952
4 u - 1 u = 952 - 28
3 u = 924

1 u = 924 ÷ 3 = 308

Allowance that David received
= 1 u + 952
= 308 + 952
= $1260

(b)
Allowance that Daniel received
= 2 u
= 2 x 308
= $616

Answers: (a) $1260; (b) $616