Wesley and Caden were given some allowances each. If Wesley spent $17 each day and Caden spent $51 each day, Wesley would still have $1841 left when Caden spent all his allowance. If Wesley spent $51 each day and Caden spent $17 each day, Wesley would still have $73 left when Caden spent all his allowance.

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

	Case 1		Case 2
	Wesley	Caden	Wesley	Caden
Before	1 u + 1841	3 u	3 p + 73	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1841	0	73	0

(a)
Simplify the ratio.
17 : 51 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 73 = 1 u + 1841
9 u - 1 u = 1841 - 73
8 u = 1768

1 u = 1768 ÷ 8 = 221

Allowance that Wesley received
= 1 u + 1841
= 221 + 1841
= $2062

(b)
Allowance that Caden received
= 3 u
= 3 x 221
= $663

Answers: (a) $2062; (b) $663