Cole and Charlie were given some allowances each. If Cole spent $12 each day and Charlie spent $36 each day, Cole would still have $1330 left when Charlie spent all his allowance. If Cole spent $36 each day and Charlie spent $12 each day, Cole would still have $82 left when Charlie spent all his allowance.

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

	Case 1		Case 2
	Cole	Charlie	Cole	Charlie
Before	1 u + 1330	3 u	3 p + 82	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1330	0	82	0

(a)
Simplify the ratio.
12 : 36 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 82 = 1 u + 1330
9 u - 1 u = 1330 - 82
8 u = 1248

1 u = 1248 ÷ 8 = 156

Allowance that Cole received
= 1 u + 1330
= 156 + 1330
= $1486

(b)
Allowance that Charlie received
= 3 u
= 3 x 156
= $468

Answers: (a) $1486; (b) $468