Mark and Will were given some allowances each. If Mark spent $22 each day and Will spent $66 each day, Mark would still have $2539 left when Will spent all his allowance. If Mark spent $66 each day and Will spent $22 each day, Mark would still have $75 left when Will spent all his allowance.

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

	Case 1		Case 2
	Mark	Will	Mark	Will
Before	1 u + 2539	3 u	3 p + 75	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2539	0	75	0

(a)
Simplify the ratio.
22 : 66 = 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 Mark had at first is the same for Case 1 and Case 2.

9 u + 75 = 1 u + 2539
9 u - 1 u = 2539 - 75
8 u = 2464

1 u = 2464 ÷ 8 = 308

Allowance that Mark received
= 1 u + 2539
= 308 + 2539
= $2847

(b)
Allowance that Will received
= 3 u
= 3 x 308
= $924

Answers: (a) $2847; (b) $924