Brandon and Flynn were given some allowances each. If Brandon spent $23 each day and Flynn spent $69 each day, Brandon would still have $1380 left when Flynn spent all his allowance. If Brandon spent $69 each day and Flynn spent $23 each day, Brandon would still have $92 left when Flynn spent all his allowance.

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

	Case 1		Case 2
	Brandon	Flynn	Brandon	Flynn
Before	1 u + 1380	3 u	3 p + 92	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1380	0	92	0

(a)
Simplify the ratio.
23 : 69 = 1 : 3

The allowance that Flynn 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 + 92 = 1 u + 1380
9 u - 1 u = 1380 - 92
8 u = 1288

1 u = 1288 ÷ 8 = 161

Allowance that Brandon received
= 1 u + 1380
= 161 + 1380
= $1541

(b)
Allowance that Flynn received
= 3 u
= 3 x 161
= $483

Answers: (a) $1541; (b) $483