Charlie and Will were given some allowances each. If Charlie spent $11 each day and Will spent $33 each day, Charlie would still have $2680 left when Will spent all his allowance. If Charlie spent $33 each day and Will spent $11 each day, Charlie would still have $40 left when Will spent all his allowance.

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

	Case 1		Case 2
	Charlie	Will	Charlie	Will
Before	1 u + 2680	3 u	3 p + 40	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2680	0	40	0

(a)
Simplify the ratio.
11 : 33 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 40 = 1 u + 2680
9 u - 1 u = 2680 - 40
8 u = 2640

1 u = 2640 ÷ 8 = 330

Allowance that Charlie received
= 1 u + 2680
= 330 + 2680
= $3010

(b)
Allowance that Will received
= 3 u
= 3 x 330
= $990

Answers: (a) $3010; (b) $990