Andy and Henry were given some allowances each. If Andy spent $22 each day and Henry spent $66 each day, Andy would still have $1976 left when Henry spent all his allowance. If Andy spent $66 each day and Henry spent $22 each day, Andy would still have $40 left when Henry spent all his allowance.

1. How much allowance did Andy receive?
2. How much allowance did Henry receive?

	Case 1		Case 2
	Andy	Henry	Andy	Henry
Before	1 u + 1976	3 u	3 p + 40	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1976	0	40	0

(a)
Simplify the ratio.
22 : 66 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 40 = 1 u + 1976
9 u - 1 u = 1976 - 40
8 u = 1936

1 u = 1936 ÷ 8 = 242

Allowance that Andy received
= 1 u + 1976
= 242 + 1976
= $2218

(b)
Allowance that Henry received
= 3 u
= 3 x 242
= $726

Answers: (a) $2218; (b) $726