Bobby and Lee were given some allowances each. If Bobby spent $20 each day and Lee spent $40 each day, Bobby would still have $1165 left when Lee spent all his allowance. If Bobby spent $40 each day and Lee spent $20 each day, Bobby would still have $25 left when Lee spent all his allowance.

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

	Case 1		Case 2
	Bobby	Lee	Bobby	Lee
Before	1 u + 1165	2 u	2 p + 25	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1165	0	25	0

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

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

1 p = 2 u
2 p = 4 u

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

4 u + 25 = 1 u + 1165
4 u - 1 u = 1165 - 25
3 u = 1140

1 u = 1140 ÷ 3 = 380

Allowance that Bobby received
= 1 u + 1165
= 380 + 1165
= $1545

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

Answers: (a) $1545; (b) $760