David and Glen were given some allowances each. If David spent $22 each day and Glen spent $66 each day, David would still have $2516 left when Glen spent all his allowance. If David spent $66 each day and Glen spent $22 each day, David would still have $52 left when Glen spent all his allowance.

1. How much allowance did David receive?
2. How much allowance did Glen receive?

	Case 1		Case 2
	David	Glen	David	Glen
Before	1 u + 2516	3 u	3 p + 52	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2516	0	52	0

(a)
Simplify the ratio.
22 : 66 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 52 = 1 u + 2516
9 u - 1 u = 2516 - 52
8 u = 2464

1 u = 2464 ÷ 8 = 308

Allowance that David received
= 1 u + 2516
= 308 + 2516
= $2824

(b)
Allowance that Glen received
= 3 u
= 3 x 308
= $924

Answers: (a) $2824; (b) $924