Flynn and Jack were given some allowances each. If Flynn spent $22 each day and Jack spent $66 each day, Flynn would still have $2540 left when Jack spent all his allowance. If Flynn spent $66 each day and Jack spent $22 each day, Flynn would still have $76 left when Jack spent all his allowance.

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

	Case 1		Case 2
	Flynn	Jack	Flynn	Jack
Before	1 u + 2540	3 u	3 p + 76	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2540	0	76	0

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

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

1 p = 3 u
3 p = 9 u

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

9 u + 76 = 1 u + 2540
9 u - 1 u = 2540 - 76
8 u = 2464

1 u = 2464 ÷ 8 = 308

Allowance that Flynn received
= 1 u + 2540
= 308 + 2540
= $2848

(b)
Allowance that Jack received
= 3 u
= 3 x 308
= $924

Answers: (a) $2848; (b) $924