Brandon and Jenson were given some allowances each. If Brandon spent $26 each day and Jenson spent $78 each day, Brandon would still have $2127 left when Jenson spent all his allowance. If Brandon spent $78 each day and Jenson spent $26 each day, Brandon would still have $47 left when Jenson spent all his allowance.

1. How much allowance did Brandon receive?
2. How much allowance did Jenson receive?

	Case 1		Case 2
	Brandon	Jenson	Brandon	Jenson
Before	1 u + 2127	3 u	3 p + 47	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	2127	0	47	0

(a)
Simplify the ratio.
26 : 78 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 47 = 1 u + 2127
9 u - 1 u = 2127 - 47
8 u = 2080

1 u = 2080 ÷ 8 = 260

Allowance that Brandon received
= 1 u + 2127
= 260 + 2127
= $2387

(b)
Allowance that Jenson received
= 3 u
= 3 x 260
= $780

Answers: (a) $2387; (b) $780