Howard and Andy were given some allowances each. If Howard spent $16 each day and Andy spent $48 each day, Howard would still have $2379 left when Andy spent all his allowance. If Howard spent $48 each day and Andy spent $16 each day, Howard would still have $75 left when Andy spent all his allowance.

1. How much allowance did Howard receive?
2. How much allowance did Andy receive?

	Case 1		Case 2
	Howard	Andy	Howard	Andy
Before	1 u + 2379	3 u	3 p + 75	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2379	0	75	0

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

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

1 p = 3 u
3 p = 9 u

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

9 u + 75 = 1 u + 2379
9 u - 1 u = 2379 - 75
8 u = 2304

1 u = 2304 ÷ 8 = 288

Allowance that Howard received
= 1 u + 2379
= 288 + 2379
= $2667

(b)
Allowance that Andy received
= 3 u
= 3 x 288
= $864

Answers: (a) $2667; (b) $864