Riordan and Flynn were given some allowances each. If Riordan spent $11 each day and Flynn spent $22 each day, Riordan would still have $750 left when Flynn spent all his allowance. If Riordan spent $22 each day and Flynn spent $11 each day, Riordan would still have $90 left when Flynn spent all his allowance.

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

	Case 1		Case 2
	Riordan	Flynn	Riordan	Flynn
Before	1 u + 750	2 u	2 p + 90	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	750	0	90	0

(a)
Simplify the ratio.
11 : 22 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 90 = 1 u + 750
4 u - 1 u = 750 - 90
3 u = 660

1 u = 660 ÷ 3 = 220

Allowance that Riordan received
= 1 u + 750
= 220 + 750
= $970

(b)
Allowance that Flynn received
= 2 u
= 2 x 220
= $440

Answers: (a) $970; (b) $440