Tommy and Andy were given some allowances each. If Tommy spent $12 each day and Andy spent $36 each day, Tommy would still have $1037 left when Andy spent all his allowance. If Tommy spent $36 each day and Andy spent $12 each day, Tommy would still have $77 left when Andy spent all his allowance.

1. How much allowance did Tommy receive?
2. How much allowance did Andy receive?

	Case 1		Case 2
	Tommy	Andy	Tommy	Andy
Before	1 u + 1037	3 u	3 p + 77	1 p
Change	- 1 u	- 3 u	- 3 p	- 1 p
After	1037	0	77	0

(a)
Simplify the ratio.
12 : 36 = 1 : 3

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

1 p = 3 u
3 p = 9 u

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

9 u + 77 = 1 u + 1037
9 u - 1 u = 1037 - 77
8 u = 960

1 u = 960 ÷ 8 = 120

Allowance that Tommy received
= 1 u + 1037
= 120 + 1037
= $1157

(b)
Allowance that Andy received
= 3 u
= 3 x 120
= $360

Answers: (a) $1157; (b) $360