Warren and Perry were given some allowances each. If Warren spent $30 each day and Perry spent $90 each day, Warren would still have $1228 left when Perry spent all his allowance. If Warren spent $90 each day and Perry spent $30 each day, Warren would still have $28 left when Perry spent all his allowance.

1. How much allowance did Warren receive?
2. How much allowance did Perry receive?

	Case 1		Case 2
	Warren	Perry	Warren	Perry
Before	1 u + 1228	3 u	3 p + 28	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1228	0	28	0

(a)
Simplify the ratio.
30 : 90 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 28 = 1 u + 1228
9 u - 1 u = 1228 - 28
8 u = 1200

1 u = 1200 ÷ 8 = 150

Allowance that Warren received
= 1 u + 1228
= 150 + 1228
= $1378

(b)
Allowance that Perry received
= 3 u
= 3 x 150
= $450

Answers: (a) $1378; (b) $450