Peter and Eric were given some allowances each. If Peter spent $19 each day and Eric spent $38 each day, Peter would still have $493 left when Eric spent all his allowance. If Peter spent $38 each day and Eric spent $19 each day, Peter would still have $94 left when Eric spent all his allowance.

1. How much allowance did Peter receive?
2. How much allowance did Eric receive?

	Case 1		Case 2
	Peter	Eric	Peter	Eric
Before	1 u + 493	2 u	2 p + 94	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	493	0	94	0

(a)
Simplify the ratio.
19 : 38 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 94 = 1 u + 493
4 u - 1 u = 493 - 94
3 u = 399

1 u = 399 ÷ 3 = 133

Allowance that Peter received
= 1 u + 493
= 133 + 493
= $626

(b)
Allowance that Eric received
= 2 u
= 2 x 133
= $266

Answers: (a) $626; (b) $266