Bobby and Brandon were given some allowances each. If Bobby spent $18 each day and Brandon spent $36 each day, Bobby would still have $1169 left when Brandon spent all his allowance. If Bobby spent $36 each day and Brandon spent $18 each day, Bobby would still have $89 left when Brandon spent all his allowance.

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

	Case 1		Case 2
	Bobby	Brandon	Bobby	Brandon
Before	1 u + 1169	2 u	2 p + 89	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1169	0	89	0

(a)
Simplify the ratio.
18 : 36 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 89 = 1 u + 1169
4 u - 1 u = 1169 - 89
3 u = 1080

1 u = 1080 ÷ 3 = 360

Allowance that Bobby received
= 1 u + 1169
= 360 + 1169
= $1529

(b)
Allowance that Brandon received
= 2 u
= 2 x 360
= $720

Answers: (a) $1529; (b) $720