Flynn and Elijah were given some allowances each. If Flynn spent $11 each day and Elijah spent $33 each day, Flynn would still have $2945 left when Elijah spent all his allowance. If Flynn spent $33 each day and Elijah spent $11 each day, Flynn would still have $41 left when Elijah spent all his allowance.

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

	Case 1		Case 2
	Flynn	Elijah	Flynn	Elijah
Before	1 u + 2945	3 u	3 p + 41	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2945	0	41	0

(a)
Simplify the ratio.
11 : 33 = 1 : 3

The allowance that Elijah 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 + 41 = 1 u + 2945
9 u - 1 u = 2945 - 41
8 u = 2904

1 u = 2904 ÷ 8 = 363

Allowance that Flynn received
= 1 u + 2945
= 363 + 2945
= $3308

(b)
Allowance that Elijah received
= 3 u
= 3 x 363
= $1089

Answers: (a) $3308; (b) $1089