Ken and Sean were given some allowances each. If Ken spent $28 each day and Sean spent $56 each day, Ken would still have $939 left when Sean spent all his allowance. If Ken spent $56 each day and Sean spent $28 each day, Ken would still have $99 left when Sean spent all his allowance.

1. How much allowance did Ken receive?
2. How much allowance did Sean receive?

	Case 1		Case 2
	Ken	Sean	Ken	Sean
Before	1 u + 939	2 u	2 p + 99	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	939	0	99	0

(a)
Simplify the ratio.
28 : 56 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 99 = 1 u + 939
4 u - 1 u = 939 - 99
3 u = 840

1 u = 840 ÷ 3 = 280

Allowance that Ken received
= 1 u + 939
= 280 + 939
= $1219

(b)
Allowance that Sean received
= 2 u
= 2 x 280
= $560

Answers: (a) $1219; (b) $560