Lee and Carl were given some allowances each. If Lee spent $13 each day and Carl spent $39 each day, Lee would still have $2052 left when Carl spent all his allowance. If Lee spent $39 each day and Carl spent $13 each day, Lee would still have $76 left when Carl spent all his allowance.

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

	Case 1		Case 2
	Lee	Carl	Lee	Carl
Before	1 u + 2052	3 u	3 p + 76	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2052	0	76	0

(a)
Simplify the ratio.
13 : 39 = 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 Lee had at first is the same for Case 1 and Case 2.

9 u + 76 = 1 u + 2052
9 u - 1 u = 2052 - 76
8 u = 1976

1 u = 1976 ÷ 8 = 247

Allowance that Lee received
= 1 u + 2052
= 247 + 2052
= $2299

(b)
Allowance that Carl received
= 3 u
= 3 x 247
= $741

Answers: (a) $2299; (b) $741