Flynn and Tommy were given some allowances each. If Flynn spent $24 each day and Tommy spent $72 each day, Flynn would still have $1406 left when Tommy spent all his allowance. If Flynn spent $72 each day and Tommy spent $24 each day, Flynn would still have $62 left when Tommy spent all his allowance.

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

	Case 1		Case 2
	Flynn	Tommy	Flynn	Tommy
Before	1 u + 1406	3 u	3 p + 62	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1406	0	62	0

(a)
Simplify the ratio.
24 : 72 = 1 : 3

The allowance that Tommy 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 + 62 = 1 u + 1406
9 u - 1 u = 1406 - 62
8 u = 1344

1 u = 1344 ÷ 8 = 168

Allowance that Flynn received
= 1 u + 1406
= 168 + 1406
= $1574

(b)
Allowance that Tommy received
= 3 u
= 3 x 168
= $504

Answers: (a) $1574; (b) $504