Flynn and Seth were given some allowances each. If Flynn spent $14 each day and Seth spent $28 each day, Flynn would still have $1242 left when Seth spent all his allowance. If Flynn spent $28 each day and Seth spent $14 each day, Flynn would still have $66 left when Seth spent all his allowance.

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

	Case 1		Case 2
	Flynn	Seth	Flynn	Seth
Before	1 u + 1242	2 u	2 p + 66	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1242	0	66	0

(a)
Simplify the ratio.
14 : 28 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 66 = 1 u + 1242
4 u - 1 u = 1242 - 66
3 u = 1176

1 u = 1176 ÷ 3 = 392

Allowance that Flynn received
= 1 u + 1242
= 392 + 1242
= $1634

(b)
Allowance that Seth received
= 2 u
= 2 x 392
= $784

Answers: (a) $1634; (b) $784