Mark and Dylan were given some allowances each. If Mark spent $22 each day and Dylan spent $66 each day, Mark would still have $1429 left when Dylan spent all his allowance. If Mark spent $66 each day and Dylan spent $22 each day, Mark would still have $21 left when Dylan spent all his allowance.

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

	Case 1		Case 2
	Mark	Dylan	Mark	Dylan
Before	1 u + 1429	3 u	3 p + 21	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1429	0	21	0

(a)
Simplify the ratio.
22 : 66 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 21 = 1 u + 1429
9 u - 1 u = 1429 - 21
8 u = 1408

1 u = 1408 ÷ 8 = 176

Allowance that Mark received
= 1 u + 1429
= 176 + 1429
= $1605

(b)
Allowance that Dylan received
= 3 u
= 3 x 176
= $528

Answers: (a) $1605; (b) $528