Jeremy and Wesley were given some allowances each. If Jeremy spent $29 each day and Wesley spent $58 each day, Jeremy would still have $1141 left when Wesley spent all his allowance. If Jeremy spent $58 each day and Wesley spent $29 each day, Jeremy would still have $97 left when Wesley spent all his allowance.

1. How much allowance did Jeremy receive?
2. How much allowance did Wesley receive?

	Case 1		Case 2
	Jeremy	Wesley	Jeremy	Wesley
Before	1 u + 1141	2 u	2 p + 97	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1141	0	97	0

(a)
Simplify the ratio.
29 : 58 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 97 = 1 u + 1141
4 u - 1 u = 1141 - 97
3 u = 1044

1 u = 1044 ÷ 3 = 348

Allowance that Jeremy received
= 1 u + 1141
= 348 + 1141
= $1489

(b)
Allowance that Wesley received
= 2 u
= 2 x 348
= $696

Answers: (a) $1489; (b) $696