Flynn and Jeremy were given some allowances each. If Flynn spent $12 each day and Jeremy spent $36 each day, Flynn would still have $2142 left when Jeremy spent all his allowance. If Flynn spent $36 each day and Jeremy spent $12 each day, Flynn would still have $30 left when Jeremy spent all his allowance.

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

	Case 1		Case 2
	Flynn	Jeremy	Flynn	Jeremy
Before	1 u + 2142	3 u	3 p + 30	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2142	0	30	0

(a)
Simplify the ratio.
12 : 36 = 1 : 3

The allowance that Jeremy 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 + 30 = 1 u + 2142
9 u - 1 u = 2142 - 30
8 u = 2112

1 u = 2112 ÷ 8 = 264

Allowance that Flynn received
= 1 u + 2142
= 264 + 2142
= $2406

(b)
Allowance that Jeremy received
= 3 u
= 3 x 264
= $792

Answers: (a) $2406; (b) $792