Zeph and Fred were given some allowances each. If Zeph spent $11 each day and Fred spent $33 each day, Zeph would still have $960 left when Fred spent all his allowance. If Zeph spent $33 each day and Fred spent $11 each day, Zeph would still have $80 left when Fred spent all his allowance.

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

	Case 1		Case 2
	Zeph	Fred	Zeph	Fred
Before	1 u + 960	3 u	3 p + 80	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	960	0	80	0

(a)
Simplify the ratio.
11 : 33 = 1 : 3

The allowance that Fred 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 + 80 = 1 u + 960
9 u - 1 u = 960 - 80
8 u = 880

1 u = 880 ÷ 8 = 110

Allowance that Zeph received
= 1 u + 960
= 110 + 960
= $1070

(b)
Allowance that Fred received
= 3 u
= 3 x 110
= $330

Answers: (a) $1070; (b) $330