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 May 1st, 2013, 10:57 AM #1 Newbie   Joined: May 2013 Posts: 2 Thanks: 0 Real world problem. Hi, I am trying to distribute a figure using percentages. Imagine I have a certain amount of money to share between 6 people, but I want 5 of the people to have the same amount and one of the people to have half the amount of the others. Is there a concise method that I can use to calculate what percentage of the original figure to give them each? Thanks!
May 1st, 2013, 12:28 PM   #2
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Re: Real world problem.

Quote:
 Originally Posted by TeRr0rP1n Hi, I am trying to distribute a figure using percentages. Imagine I have a certain amount of money to share between 6 people, but I want 5 of the people to have the same amount and one of the people to have half the amount of the others. Is there a concise method that I can use to calculate what percentage of the original figure to give them each? Thanks!
You are dividing the money into 5.5 parts, with 5 people each getting 1/5.5 and the other person getting .5/5.5.

May 1st, 2013, 07:33 PM   #3
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Re: Real world problem.

Hello, TeRr0rP1n!

Quote:
 Hi, I am trying to distribute a figure using percentages. Imagine I have a certain amount of money to share between 6 people, but I want 5 of the people to have the same amount and one of the people to have half the amount of the others. Is there a concise method to calculate the percentage to give each of them?

$\text{Let }M\:=\:\text{the amount of money in dollars.}$

$\text{Give }x\text{ dollars to the one person.}
\text{Then the other five people get }2x\text{ dollars each.}$

$\text{So we have: }\\,+\,2x\,+\,2x\,+\,2x\,+\,2x\,+\,2x\:=\:M" />

[color=beige]. . . . . . . . . . [/color]$11x\:=\:M \;\;\;\Rightarrow\;\;\;x \:=\:\frac{1}{11}M$

$\text{The one person gets: }\frac{1}{11}M\,\text{dollars.}$
$\text{The other 5 people get: }\frac{2}{11}M\,\text{dollars each.}$

 May 2nd, 2013, 01:40 AM #4 Newbie   Joined: May 2013 Posts: 2 Thanks: 0 Re: Real world problem. Thanks for the help chaps/ chapesses! Seems so obvious when you put it like that!

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