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Nine Chickens, Ten Days

Date: 02/26/2002 at 20:33:10
From: Gewel
Subject: Algebra II

If a chicken and a half lays an egg and a half in a day and a half, 
how many eggs will nine chickens lay in ten days?


Date: 02/27/2002 at 01:43:56
From: Doctor Ian
Subject: Re: Algebra II

Hi Gewel,

Let's start from the fact that

  1 1/2 chickens will lay 1 1/2 eggs in 1 1/2 days

Then twice the chickens will lay twice the eggs in the same amount of 
time: 

   3 chickens will lay 3 eggs in 1 1/2 days

And those same chickens will lay twice the eggs in twice the time:

   3 chickens will lay 6 eggs in 3 days

And they'll lay 1/3 the eggs in 1/3 the time:

   3 chickens will lay 2 eggs in 1 day

And so on.  Can you take it from here? 

- Doctor Ian, The Math Forum
  http://mathforum.org/dr.math/ 
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