Zeph and Glen were given some allowances each. If Zeph spent $25 each day and Glen spent $75 each day, Zeph would still have $2860 left when Glen spent all his allowance. If Zeph spent $75 each day and Glen spent $25 each day, Zeph would still have $60 left when Glen spent all his allowance.

1. How much allowance did Zeph receive?
2. How much allowance did Glen receive?

	Case 1		Case 2
	Zeph	Glen	Zeph	Glen
Before	1 u + 2860	3 u	3 p + 60	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2860	0	60	0

(a)
Simplify the ratio.
25 : 75 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 60 = 1 u + 2860
9 u - 1 u = 2860 - 60
8 u = 2800

1 u = 2800 ÷ 8 = 350

Allowance that Zeph received
= 1 u + 2860
= 350 + 2860
= $3210

(b)
Allowance that Glen received
= 3 u
= 3 x 350
= $1050

Answers: (a) $3210; (b) $1050