Flynn and Jeremy were given some allowances each. If Flynn spent $20 each day and Jeremy spent $40 each day, Flynn would still have $749 left when Jeremy spent all his allowance. If Flynn spent $40 each day and Jeremy spent $20 each day, Flynn would still have $89 left when Jeremy spent all his allowance.

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

	Case 1		Case 2
	Flynn	Jeremy	Flynn	Jeremy
Before	1 u + 749	2 u	2 p + 89	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	749	0	89	0

(a)
Simplify the ratio.
20 : 40 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 89 = 1 u + 749
4 u - 1 u = 749 - 89
3 u = 660

1 u = 660 ÷ 3 = 220

Allowance that Flynn received
= 1 u + 749
= 220 + 749
= $969

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

Answers: (a) $969; (b) $440