Lee and Bryan were given some allowances each. If Lee spent $13 each day and Bryan spent $26 each day, Lee would still have $1149 left when Bryan spent all his allowance. If Lee spent $26 each day and Bryan spent $13 each day, Lee would still have $96 left when Bryan spent all his allowance.

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

	Case 1		Case 2
	Lee	Bryan	Lee	Bryan
Before	1 u + 1149	2 u	2 p + 96	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1149	0	96	0

(a)
Simplify the ratio.
13 : 26 = 1 : 2

The allowance that Bryan 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 + 96 = 1 u + 1149
4 u - 1 u = 1149 - 96
3 u = 1053

1 u = 1053 ÷ 3 = 351

Allowance that Lee received
= 1 u + 1149
= 351 + 1149
= $1500

(b)
Allowance that Bryan received
= 2 u
= 2 x 351
= $702

Answers: (a) $1500; (b) $702