Lee and Xavier were given some allowances each. If Lee spent $18 each day and Xavier spent $36 each day, Lee would still have $635 left when Xavier spent all his allowance. If Lee spent $36 each day and Xavier spent $18 each day, Lee would still have $95 left when Xavier spent all his allowance.

1. How much allowance did Lee receive?
2. How much allowance did Xavier receive?

	Case 1		Case 2
	Lee	Xavier	Lee	Xavier
Before	1 u + 635	2 u	2 p + 95	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	635	0	95	0

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

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

1 p = 2 u
2 p = 4 u

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

4 u + 95 = 1 u + 635
4 u - 1 u = 635 - 95
3 u = 540

1 u = 540 ÷ 3 = 180

Allowance that Lee received
= 1 u + 635
= 180 + 635
= $815

(b)
Allowance that Xavier received
= 2 u
= 2 x 180
= $360

Answers: (a) $815; (b) $360