Asher and Harry were given some allowances each. If Asher spent $16 each day and Harry spent $48 each day, Asher would still have $1593 left when Harry spent all his allowance. If Asher spent $48 each day and Harry spent $16 each day, Asher would still have $57 left when Harry spent all his allowance.

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

	Case 1		Case 2
	Asher	Harry	Asher	Harry
Before	1 u + 1593	3 u	3 p + 57	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1593	0	57	0

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

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

1 p = 3 u
3 p = 9 u

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

9 u + 57 = 1 u + 1593
9 u - 1 u = 1593 - 57
8 u = 1536

1 u = 1536 ÷ 8 = 192

Allowance that Asher received
= 1 u + 1593
= 192 + 1593
= $1785

(b)
Allowance that Harry received
= 3 u
= 3 x 192
= $576

Answers: (a) $1785; (b) $576