Fred and Flynn were given some allowances each. If Fred spent $15 each day and Flynn spent $45 each day, Fred would still have $2368 left when Flynn spent all his allowance. If Fred spent $45 each day and Flynn spent $15 each day, Fred would still have $88 left when Flynn spent all his allowance.

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

	Case 1		Case 2
	Fred	Flynn	Fred	Flynn
Before	1 u + 2368	3 u	3 p + 88	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2368	0	88	0

(a)
Simplify the ratio.
15 : 45 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 88 = 1 u + 2368
9 u - 1 u = 2368 - 88
8 u = 2280

1 u = 2280 ÷ 8 = 285

Allowance that Fred received
= 1 u + 2368
= 285 + 2368
= $2653

(b)
Allowance that Flynn received
= 3 u
= 3 x 285
= $855

Answers: (a) $2653; (b) $855