Mark and Caden were given some allowances each. If Mark spent $25 each day and Caden spent $50 each day, Mark would still have $352 left when Caden spent all his allowance. If Mark spent $50 each day and Caden spent $25 each day, Mark would still have $52 left when Caden spent all his allowance.

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

	Case 1		Case 2
	Mark	Caden	Mark	Caden
Before	1 u + 352	2 u	2 p + 52	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	352	0	52	0

(a)
Simplify the ratio.
25 : 50 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 52 = 1 u + 352
4 u - 1 u = 352 - 52
3 u = 300

1 u = 300 ÷ 3 = 100

Allowance that Mark received
= 1 u + 352
= 100 + 352
= $452

(b)
Allowance that Caden received
= 2 u
= 2 x 100
= $200

Answers: (a) $452; (b) $200