Asher and Zane were given some allowances each. If Asher spent $14 each day and Zane spent $42 each day, Asher would still have $2532 left when Zane spent all his allowance. If Asher spent $42 each day and Zane spent $14 each day, Asher would still have $68 left when Zane spent all his allowance.

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

	Case 1		Case 2
	Asher	Zane	Asher	Zane
Before	1 u + 2532	3 u	3 p + 68	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2532	0	68	0

(a)
Simplify the ratio.
14 : 42 = 1 : 3

The allowance that Zane 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 + 68 = 1 u + 2532
9 u - 1 u = 2532 - 68
8 u = 2464

1 u = 2464 ÷ 8 = 308

Allowance that Asher received
= 1 u + 2532
= 308 + 2532
= $2840

(b)
Allowance that Zane received
= 3 u
= 3 x 308
= $924

Answers: (a) $2840; (b) $924