Ryan and Bobby were given some allowances each. If Ryan spent $14 each day and Bobby spent $28 each day, Ryan would still have $528 left when Bobby spent all his allowance. If Ryan spent $28 each day and Bobby spent $14 each day, Ryan would still have $66 left when Bobby spent all his allowance.

1. How much allowance did Ryan receive?
2. How much allowance did Bobby receive?

	Case 1		Case 2
	Ryan	Bobby	Ryan	Bobby
Before	1 u + 528	2 u	2 p + 66	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	528	0	66	0

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

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

1 p = 2 u
2 p = 4 u

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

4 u + 66 = 1 u + 528
4 u - 1 u = 528 - 66
3 u = 462

1 u = 462 ÷ 3 = 154

Allowance that Ryan received
= 1 u + 528
= 154 + 528
= $682

(b)
Allowance that Bobby received
= 2 u
= 2 x 154
= $308

Answers: (a) $682; (b) $308