Luis and Fabian were given some allowances each. If Luis spent $20 each day and Fabian spent $40 each day, Luis would still have $1163 left when Fabian spent all his allowance. If Luis spent $40 each day and Fabian spent $20 each day, Luis would still have $23 left when Fabian spent all his allowance.

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

	Case 1		Case 2
	Luis	Fabian	Luis	Fabian
Before	1 u + 1163	2 u	2 p + 23	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1163	0	23	0

(a)
Simplify the ratio.
20 : 40 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 23 = 1 u + 1163
4 u - 1 u = 1163 - 23
3 u = 1140

1 u = 1140 ÷ 3 = 380

Allowance that Luis received
= 1 u + 1163
= 380 + 1163
= $1543

(b)
Allowance that Fabian received
= 2 u
= 2 x 380
= $760

Answers: (a) $1543; (b) $760