Cody and Ahmad were given some allowances each. If Cody spent $14 each day and Ahmad spent $28 each day, Cody would still have $1270 left when Ahmad spent all his allowance. If Cody spent $28 each day and Ahmad spent $14 each day, Cody would still have $94 left when Ahmad spent all his allowance.

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

	Case 1		Case 2
	Cody	Ahmad	Cody	Ahmad
Before	1 u + 1270	2 u	2 p + 94	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1270	0	94	0

(a)
Simplify the ratio.
14 : 28 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 94 = 1 u + 1270
4 u - 1 u = 1270 - 94
3 u = 1176

1 u = 1176 ÷ 3 = 392

Allowance that Cody received
= 1 u + 1270
= 392 + 1270
= $1662

(b)
Allowance that Ahmad received
= 2 u
= 2 x 392
= $784

Answers: (a) $1662; (b) $784