Warren and Cole were given some allowances each. If Warren spent $10 each day and Cole spent $20 each day, Warren would still have $1187 left when Cole spent all his allowance. If Warren spent $20 each day and Cole spent $10 each day, Warren would still have $47 left when Cole spent all his allowance.

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

	Case 1		Case 2
	Warren	Cole	Warren	Cole
Before	1 u + 1187	2 u	2 p + 47	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1187	0	47	0

(a)
Simplify the ratio.
10 : 20 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 47 = 1 u + 1187
4 u - 1 u = 1187 - 47
3 u = 1140

1 u = 1140 ÷ 3 = 380

Allowance that Warren received
= 1 u + 1187
= 380 + 1187
= $1567

(b)
Allowance that Cole received
= 2 u
= 2 x 380
= $760

Answers: (a) $1567; (b) $760