Xavier and Cole were given some allowances each. If Xavier spent $14 each day and Cole spent $28 each day, Xavier would still have $750 left when Cole spent all his allowance. If Xavier spent $28 each day and Cole spent $14 each day, Xavier would still have $36 left when Cole spent all his allowance.

1. How much allowance did Xavier receive?
2. How much allowance did Cole receive?

	Case 1		Case 2
	Xavier	Cole	Xavier	Cole
Before	1 u + 750	2 u	2 p + 36	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	750	0	36	0

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

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

1 p = 2 u
2 p = 4 u

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

4 u + 36 = 1 u + 750
4 u - 1 u = 750 - 36
3 u = 714

1 u = 714 ÷ 3 = 238

Allowance that Xavier received
= 1 u + 750
= 238 + 750
= $988

(b)
Allowance that Cole received
= 2 u
= 2 x 238
= $476

Answers: (a) $988; (b) $476