Ahmad and Ben were given some allowances each. If Ahmad spent $28 each day and Ben spent $84 each day, Ahmad would still have $2328 left when Ben spent all his allowance. If Ahmad spent $84 each day and Ben spent $28 each day, Ahmad would still have $88 left when Ben spent all his allowance.

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

	Case 1		Case 2
	Ahmad	Ben	Ahmad	Ben
Before	1 u + 2328	3 u	3 p + 88	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2328	0	88	0

(a)
Simplify the ratio.
28 : 84 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 88 = 1 u + 2328
9 u - 1 u = 2328 - 88
8 u = 2240

1 u = 2240 ÷ 8 = 280

Allowance that Ahmad received
= 1 u + 2328
= 280 + 2328
= $2608

(b)
Allowance that Ben received
= 3 u
= 3 x 280
= $840

Answers: (a) $2608; (b) $840