Flynn and Ryan were given some allowances each. If Flynn spent $28 each day and Ryan spent $84 each day, Flynn would still have $1156 left when Ryan spent all his allowance. If Flynn spent $84 each day and Ryan spent $28 each day, Flynn would still have $36 left when Ryan spent all his allowance.

1. How much allowance did Flynn receive?
2. How much allowance did Ryan receive?

	Case 1		Case 2
	Flynn	Ryan	Flynn	Ryan
Before	1 u + 1156	3 u	3 p + 36	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1156	0	36	0

(a)
Simplify the ratio.
28 : 84 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 36 = 1 u + 1156
9 u - 1 u = 1156 - 36
8 u = 1120

1 u = 1120 ÷ 8 = 140

Allowance that Flynn received
= 1 u + 1156
= 140 + 1156
= $1296

(b)
Allowance that Ryan received
= 3 u
= 3 x 140
= $420

Answers: (a) $1296; (b) $420