Carl and Bryan were given some allowances each. If Carl spent $11 each day and Bryan spent $33 each day, Carl would still have $1885 left when Bryan spent all his allowance. If Carl spent $33 each day and Bryan spent $11 each day, Carl would still have $37 left when Bryan spent all his allowance.

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

	Case 1		Case 2
	Carl	Bryan	Carl	Bryan
Before	1 u + 1885	3 u	3 p + 37	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1885	0	37	0

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

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

1 p = 3 u
3 p = 9 u

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

9 u + 37 = 1 u + 1885
9 u - 1 u = 1885 - 37
8 u = 1848

1 u = 1848 ÷ 8 = 231

Allowance that Carl received
= 1 u + 1885
= 231 + 1885
= $2116

(b)
Allowance that Bryan received
= 3 u
= 3 x 231
= $693

Answers: (a) $2116; (b) $693