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Mathematical Formula Help!

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Posted by Jools
It's quite a long time since I did any 'proper' maths, so I'm having trouble working out a formula for the following:

----

Person (A) and (B) earn different amounts, and they share the household bills (Z).

How can you work out what each persons proportionate share of the bills should be based on what they earn.

For example:-

(A) earns $2000 a month
(B) earns $1000 a month, 50% of what (A) earns
Their total monthly bills (Z) are $900

So, (B) should pay 50% of what (A) pays.

In this example, (A) would pay $600 and (B) would pay $300 (50%)

----

What mathematical formula would do this calculation for different values of (A), (B) and (Z) ?

When the values are easy, as in the example above, I can work it out, but not for very different values!! It's probably very easy... but...

Help!


Posted by blackspot
Ratio and proportion should work -- base it on the total of A & B's salaries.

Something like this should work:

A=salary of A
B=salary of B
Z=total monthly bill
SA = A's share of the monthly bill
SB = B's share of the monthly bill

SA=Z*A/(A+B)
SB=Z*B/(A+B)

Posted by *Jojo*
My share:


Share of A: Share of B:

A (Z) B (Z)
_____ + ______ = Z

(A+B) (A+B)

(*)
A = salary of A
B = salary of B
Z = total monthly bill
SA = A's share of the monthly bill
SB = B's share of the monthly bill

(*) - same with Blackspot

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[ This Message was edited by: JN on 2006-02-24 02:26 ]

Posted by Jools
Thanks guys! That's great! I don't actually understand how it works out right, but it does - perfectly!

You've saved me a lot of head scratching!!

Cheers!

Posted by Krubach
Now you can tell your wife/girlfriend how much is her share...

Posted by Jools



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