Jack and Vaidev were given some allowances each. If Jack spent $18 each day and Vaidev spent $36 each day, Jack would still have $869 left when Vaidev spent all his allowance. If Jack spent $36 each day and Vaidev spent $18 each day, Jack would still have $59 left when Vaidev spent all his allowance.

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

	Case 1		Case 2
	Jack	Vaidev	Jack	Vaidev
Before	1 u + 869	2 u	2 p + 59	1 p
Change	- 1 u	- 2 u	- 2 p	- 1 p
After	869	0	59	0

(a)
Simplify the ratio.
18 : 36 = 1 : 2

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

1 p = 2 u
2 p = 4 u

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

4 u + 59 = 1 u + 869
4 u - 1 u = 869 - 59
3 u = 810

1 u = 810 ÷ 3 = 270

Allowance that Jack received
= 1 u + 869
= 270 + 869
= $1139

(b)
Allowance that Vaidev received
= 2 u
= 2 x 270
= $540

Answers: (a) $1139; (b) $540