Luis and Warren were given some allowances each. If Luis spent $29 each day and Warren spent $58 each day, Luis would still have $771 left when Warren spent all his allowance. If Luis spent $58 each day and Warren spent $29 each day, Luis would still have $75 left when Warren spent all his allowance.

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

	Case 1		Case 2
	Luis	Warren	Luis	Warren
Before	1 u + 771	2 u	2 p + 75	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	771	0	75	0

(a)
Simplify the ratio.
29 : 58 = 1 : 2

The allowance that Warren 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 + 75 = 1 u + 771
4 u - 1 u = 771 - 75
3 u = 696

1 u = 696 ÷ 3 = 232

Allowance that Luis received
= 1 u + 771
= 232 + 771
= $1003

(b)
Allowance that Warren received
= 2 u
= 2 x 232
= $464

Answers: (a) $1003; (b) $464