Seth and John were given some allowances each. If Seth spent $28 each day and John spent $56 each day, Seth would still have $359 left when John spent all his allowance. If Seth spent $56 each day and John spent $28 each day, Seth would still have $23 left when John spent all his allowance.

1. How much allowance did Seth receive?
2. How much allowance did John receive?

	Case 1		Case 2
	Seth	John	Seth	John
Before	1 u + 359	2 u	2 p + 23	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	359	0	23	0

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

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

1 p = 2 u
2 p = 4 u

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

4 u + 23 = 1 u + 359
4 u - 1 u = 359 - 23
3 u = 336

1 u = 336 ÷ 3 = 112

Allowance that Seth received
= 1 u + 359
= 112 + 359
= $471

(b)
Allowance that John received
= 2 u
= 2 x 112
= $224

Answers: (a) $471; (b) $224