Howard and Justin were given some allowances each. If Howard spent $21 each day and Justin spent $63 each day, Howard would still have $2060 left when Justin spent all his allowance. If Howard spent $63 each day and Justin spent $21 each day, Howard would still have $44 left when Justin spent all his allowance.

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

	Case 1		Case 2
	Howard	Justin	Howard	Justin
Before	1 u + 2060	3 u	3 p + 44	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2060	0	44	0

(a)
Simplify the ratio.
21 : 63 = 1 : 3

The allowance that Justin 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 + 44 = 1 u + 2060
9 u - 1 u = 2060 - 44
8 u = 2016

1 u = 2016 ÷ 8 = 252

Allowance that Howard received
= 1 u + 2060
= 252 + 2060
= $2312

(b)
Allowance that Justin received
= 3 u
= 3 x 252
= $756

Answers: (a) $2312; (b) $756