Ahmad and Seth were given some allowances each. If Ahmad spent $12 each day and Seth spent $24 each day, Ahmad would still have $888 left when Seth spent all his allowance. If Ahmad spent $24 each day and Seth spent $12 each day, Ahmad would still have $96 left when Seth spent all his allowance.

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

	Case 1		Case 2
	Ahmad	Seth	Ahmad	Seth
Before	1 u + 888	2 u	2 p + 96	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	888	0	96	0

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

The allowance that Seth 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 + 96 = 1 u + 888
4 u - 1 u = 888 - 96
3 u = 792

1 u = 792 ÷ 3 = 264

Allowance that Ahmad received
= 1 u + 888
= 264 + 888
= $1152

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

Answers: (a) $1152; (b) $528