Albert and Oscar were given some allowances each. If Albert spent $24 each day and Oscar spent $72 each day, Albert would still have $2914 left when Oscar spent all his allowance. If Albert spent $72 each day and Oscar spent $24 each day, Albert would still have $34 left when Oscar spent all his allowance.

1. How much allowance did Albert receive?
2. How much allowance did Oscar receive?

	Case 1		Case 2
	Albert	Oscar	Albert	Oscar
Before	1 u + 2914	3 u	3 p + 34	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2914	0	34	0

(a)
Simplify the ratio.
24 : 72 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 34 = 1 u + 2914
9 u - 1 u = 2914 - 34
8 u = 2880

1 u = 2880 ÷ 8 = 360

Allowance that Albert received
= 1 u + 2914
= 360 + 2914
= $3274

(b)
Allowance that Oscar received
= 3 u
= 3 x 360
= $1080

Answers: (a) $3274; (b) $1080