Harry and Henry were given some allowances each. If Harry spent $27 each day and Henry spent $81 each day, Harry would still have $2190 left when Henry spent all his allowance. If Harry spent $81 each day and Henry spent $27 each day, Harry would still have $30 left when Henry spent all his allowance.

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

	Case 1		Case 2
	Harry	Henry	Harry	Henry
Before	1 u + 2190	3 u	3 p + 30	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2190	0	30	0

(a)
Simplify the ratio.
27 : 81 = 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 Harry had at first is the same for Case 1 and Case 2.

9 u + 30 = 1 u + 2190
9 u - 1 u = 2190 - 30
8 u = 2160

1 u = 2160 ÷ 8 = 270

Allowance that Harry received
= 1 u + 2190
= 270 + 2190
= $2460

(b)
Allowance that Henry received
= 3 u
= 3 x 270
= $810

Answers: (a) $2460; (b) $810