Carl and Riordan were given some allowances each. If Carl spent $14 each day and Riordan spent $28 each day, Carl would still have $1220 left when Riordan spent all his allowance. If Carl spent $28 each day and Riordan spent $14 each day, Carl would still have $86 left when Riordan spent all his allowance.

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

	Case 1		Case 2
	Carl	Riordan	Carl	Riordan
Before	1 u + 1220	2 u	2 p + 86	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	1220	0	86	0

(a)
Simplify the ratio.
14 : 28 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 86 = 1 u + 1220
4 u - 1 u = 1220 - 86
3 u = 1134

1 u = 1134 ÷ 3 = 378

Allowance that Carl received
= 1 u + 1220
= 378 + 1220
= $1598

(b)
Allowance that Riordan received
= 2 u
= 2 x 378
= $756

Answers: (a) $1598; (b) $756