Bobby and Dylan were given some allowances each. If Bobby spent $12 each day and Dylan spent $24 each day, Bobby would still have $595 left when Dylan spent all his allowance. If Bobby spent $24 each day and Dylan spent $12 each day, Bobby would still have $91 left when Dylan spent all his allowance.

1. How much allowance did Bobby receive?
2. How much allowance did Dylan receive?

	Case 1		Case 2
	Bobby	Dylan	Bobby	Dylan
Before	1 u + 595	2 u	2 p + 91	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	595	0	91	0

(a)
Simplify the ratio.
12 : 24 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 91 = 1 u + 595
4 u - 1 u = 595 - 91
3 u = 504

1 u = 504 ÷ 3 = 168

Allowance that Bobby received
= 1 u + 595
= 168 + 595
= $763

(b)
Allowance that Dylan received
= 2 u
= 2 x 168
= $336

Answers: (a) $763; (b) $336