Ahmad and Mark were given some allowances each. If Ahmad spent $25 each day and Mark spent $50 each day, Ahmad would still have $1183 left when Mark spent all his allowance. If Ahmad spent $50 each day and Mark spent $25 each day, Ahmad would still have $58 left when Mark spent all his allowance.

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

	Case 1		Case 2
	Ahmad	Mark	Ahmad	Mark
Before	1 u + 1183	2 u	2 p + 58	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1183	0	58	0

(a)
Simplify the ratio.
25 : 50 = 1 : 2

The allowance that Mark 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 + 58 = 1 u + 1183
4 u - 1 u = 1183 - 58
3 u = 1125

1 u = 1125 ÷ 3 = 375

Allowance that Ahmad received
= 1 u + 1183
= 375 + 1183
= $1558

(b)
Allowance that Mark received
= 2 u
= 2 x 375
= $750

Answers: (a) $1558; (b) $750