Pierre and Harry were given some allowances each. If Pierre spent $10 each day and Harry spent $20 each day, Pierre would still have $388 left when Harry spent all his allowance. If Pierre spent $20 each day and Harry spent $10 each day, Pierre would still have $88 left when Harry spent all his allowance.

1. How much allowance did Pierre receive?
2. How much allowance did Harry receive?

	Case 1		Case 2
	Pierre	Harry	Pierre	Harry
Before	1 u + 388	2 u	2 p + 88	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	388	0	88	0

(a)
Simplify the ratio.
10 : 20 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 88 = 1 u + 388
4 u - 1 u = 388 - 88
3 u = 300

1 u = 300 ÷ 3 = 100

Allowance that Pierre received
= 1 u + 388
= 100 + 388
= $488

(b)
Allowance that Harry received
= 2 u
= 2 x 100
= $200

Answers: (a) $488; (b) $200