Ahmad and Bryan were given some allowances each. If Ahmad spent $24 each day and Bryan spent $48 each day, Ahmad would still have $847 left when Bryan spent all his allowance. If Ahmad spent $48 each day and Bryan spent $24 each day, Ahmad would still have $55 left when Bryan spent all his allowance.

1. How much allowance did Ahmad receive?
2. How much allowance did Bryan receive?

	Case 1		Case 2
	Ahmad	Bryan	Ahmad	Bryan
Before	1 u + 847	2 u	2 p + 55	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	847	0	55	0

(a)
Simplify the ratio.
24 : 48 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 55 = 1 u + 847
4 u - 1 u = 847 - 55
3 u = 792

1 u = 792 ÷ 3 = 264

Allowance that Ahmad received
= 1 u + 847
= 264 + 847
= $1111

(b)
Allowance that Bryan received
= 2 u
= 2 x 264
= $528

Answers: (a) $1111; (b) $528