Harry and Riordan were given some allowances each. If Harry spent $11 each day and Riordan spent $33 each day, Harry would still have $1360 left when Riordan spent all his allowance. If Harry spent $33 each day and Riordan spent $11 each day, Harry would still have $40 left when Riordan spent all his allowance.

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

	Case 1		Case 2
	Harry	Riordan	Harry	Riordan
Before	1 u + 1360	3 u	3 p + 40	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1360	0	40	0

(a)
Simplify the ratio.
11 : 33 = 1 : 3

The allowance that Riordan 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 + 40 = 1 u + 1360
9 u - 1 u = 1360 - 40
8 u = 1320

1 u = 1320 ÷ 8 = 165

Allowance that Harry received
= 1 u + 1360
= 165 + 1360
= $1525

(b)
Allowance that Riordan received
= 3 u
= 3 x 165
= $495

Answers: (a) $1525; (b) $495