Wesley and Daniel were given some allowances each. If Wesley spent $16 each day and Daniel spent $48 each day, Wesley would still have $1318 left when Daniel spent all his allowance. If Wesley spent $48 each day and Daniel spent $16 each day, Wesley would still have $38 left when Daniel spent all his allowance.

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

	Case 1		Case 2
	Wesley	Daniel	Wesley	Daniel
Before	1 u + 1318	3 u	3 p + 38	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1318	0	38	0

(a)
Simplify the ratio.
16 : 48 = 1 : 3

The allowance that Daniel 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 + 38 = 1 u + 1318
9 u - 1 u = 1318 - 38
8 u = 1280

1 u = 1280 ÷ 8 = 160

Allowance that Wesley received
= 1 u + 1318
= 160 + 1318
= $1478

(b)
Allowance that Daniel received
= 3 u
= 3 x 160
= $480

Answers: (a) $1478; (b) $480