Brandon and Bryan were given some allowances each. If Brandon spent $14 each day and Bryan spent $28 each day, Brandon would still have $1107 left when Bryan spent all his allowance. If Brandon spent $28 each day and Bryan spent $14 each day, Brandon would still have $99 left when Bryan spent all his allowance.

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

	Case 1		Case 2
	Brandon	Bryan	Brandon	Bryan
Before	1 u + 1107	2 u	2 p + 99	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1107	0	99	0

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

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

1 p = 2 u
2 p = 4 u

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

4 u + 99 = 1 u + 1107
4 u - 1 u = 1107 - 99
3 u = 1008

1 u = 1008 ÷ 3 = 336

Allowance that Brandon received
= 1 u + 1107
= 336 + 1107
= $1443

(b)
Allowance that Bryan received
= 2 u
= 2 x 336
= $672

Answers: (a) $1443; (b) $672