Brandon and Dylan were given some allowances each. If Brandon spent $22 each day and Dylan spent $66 each day, Brandon would still have $2873 left when Dylan spent all his allowance. If Brandon spent $66 each day and Dylan spent $22 each day, Brandon would still have $57 left when Dylan spent all his allowance.

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

	Case 1		Case 2
	Brandon	Dylan	Brandon	Dylan
Before	1 u + 2873	3 u	3 p + 57	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2873	0	57	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 Brandon had at first is the same for Case 1 and Case 2.

9 u + 57 = 1 u + 2873
9 u - 1 u = 2873 - 57
8 u = 2816

1 u = 2816 ÷ 8 = 352

Allowance that Brandon received
= 1 u + 2873
= 352 + 2873
= $3225

(b)
Allowance that Dylan received
= 3 u
= 3 x 352
= $1056

Answers: (a) $3225; (b) $1056