Vaidev and Carl were given some allowances each. If Vaidev spent $16 each day and Carl spent $32 each day, Vaidev would still have $516 left when Carl spent all his allowance. If Vaidev spent $32 each day and Carl spent $16 each day, Vaidev would still have $84 left when Carl spent all his allowance.

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

	Case 1		Case 2
	Vaidev	Carl	Vaidev	Carl
Before	1 u + 516	2 u	2 p + 84	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	516	0	84	0

(a)
Simplify the ratio.
16 : 32 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 84 = 1 u + 516
4 u - 1 u = 516 - 84
3 u = 432

1 u = 432 ÷ 3 = 144

Allowance that Vaidev received
= 1 u + 516
= 144 + 516
= $660

(b)
Allowance that Carl received
= 2 u
= 2 x 144
= $288

Answers: (a) $660; (b) $288