Jenson and Mark were given some allowances each. If Jenson spent $18 each day and Mark spent $54 each day, Jenson would still have $2104 left when Mark spent all his allowance. If Jenson spent $54 each day and Mark spent $18 each day, Jenson would still have $88 left when Mark spent all his allowance.

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

	Case 1		Case 2
	Jenson	Mark	Jenson	Mark
Before	1 u + 2104	3 u	3 p + 88	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2104	0	88	0

(a)
Simplify the ratio.
18 : 54 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 88 = 1 u + 2104
9 u - 1 u = 2104 - 88
8 u = 2016

1 u = 2016 ÷ 8 = 252

Allowance that Jenson received
= 1 u + 2104
= 252 + 2104
= $2356

(b)
Allowance that Mark received
= 3 u
= 3 x 252
= $756

Answers: (a) $2356; (b) $756