Fabian and Flynn were given some allowances each. If Fabian spent $18 each day and Flynn spent $54 each day, Fabian would still have $900 left when Flynn spent all his allowance. If Fabian spent $54 each day and Flynn spent $18 each day, Fabian would still have $36 left when Flynn spent all his allowance.

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

	Case 1		Case 2
	Fabian	Flynn	Fabian	Flynn
Before	1 u + 900	3 u	3 p + 36	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	900	0	36	0

(a)
Simplify the ratio.
18 : 54 = 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 Fabian had at first is the same for Case 1 and Case 2.

9 u + 36 = 1 u + 900
9 u - 1 u = 900 - 36
8 u = 864

1 u = 864 ÷ 8 = 108

Allowance that Fabian received
= 1 u + 900
= 108 + 900
= $1008

(b)
Allowance that Flynn received
= 3 u
= 3 x 108
= $324

Answers: (a) $1008; (b) $324