Cole and Jenson were given some allowances each. If Cole spent $20 each day and Jenson spent $40 each day, Cole would still have $562 left when Jenson spent all his allowance. If Cole spent $40 each day and Jenson spent $20 each day, Cole would still have $22 left when Jenson spent all his allowance.

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

	Case 1		Case 2
	Cole	Jenson	Cole	Jenson
Before	1 u + 562	2 u	2 p + 22	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	562	0	22	0

(a)
Simplify the ratio.
20 : 40 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 22 = 1 u + 562
4 u - 1 u = 562 - 22
3 u = 540

1 u = 540 ÷ 3 = 180

Allowance that Cole received
= 1 u + 562
= 180 + 562
= $742

(b)
Allowance that Jenson received
= 2 u
= 2 x 180
= $360

Answers: (a) $742; (b) $360