Perry and Carl were given some allowances each. If Perry spent $10 each day and Carl spent $30 each day, Perry would still have $1481 left when Carl spent all his allowance. If Perry spent $30 each day and Carl spent $10 each day, Perry would still have $41 left when Carl spent all his allowance.

1. How much allowance did Perry receive?
2. How much allowance did Carl receive?

	Case 1		Case 2
	Perry	Carl	Perry	Carl
Before	1 u + 1481	3 u	3 p + 41	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1481	0	41	0

(a)
Simplify the ratio.
10 : 30 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 41 = 1 u + 1481
9 u - 1 u = 1481 - 41
8 u = 1440

1 u = 1440 ÷ 8 = 180

Allowance that Perry received
= 1 u + 1481
= 180 + 1481
= $1661

(b)
Allowance that Carl received
= 3 u
= 3 x 180
= $540

Answers: (a) $1661; (b) $540