Vincent and Daniel were given some allowances each. If Vincent spent $24 each day and Daniel spent $48 each day, Vincent would still have $606 left when Daniel spent all his allowance. If Vincent spent $48 each day and Daniel spent $24 each day, Vincent would still have $30 left when Daniel spent all his allowance.

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

	Case 1		Case 2
	Vincent	Daniel	Vincent	Daniel
Before	1 u + 606	2 u	2 p + 30	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	606	0	30	0

(a)
Simplify the ratio.
24 : 48 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 30 = 1 u + 606
4 u - 1 u = 606 - 30
3 u = 576

1 u = 576 ÷ 3 = 192

Allowance that Vincent received
= 1 u + 606
= 192 + 606
= $798

(b)
Allowance that Daniel received
= 2 u
= 2 x 192
= $384

Answers: (a) $798; (b) $384