SOLUTION: A farmer goes to market and buys a hundred animals for $1,000. Cows cost $50 each, sheep $10 each, and rabbits $0.50 each. How many of each kind does he buy?

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Question 543816: A farmer goes to market and buys a hundred animals for $1,000. Cows cost $50 each, sheep $10 each, and rabbits $0.50 each. How many of each kind does he buy?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The easy answer is for him to buy 100 sheep for $1000.

But the answer you want is

 19 cows    × $50.00 =  $950.00
  1 sheep   × $10.00 =    10.00
 80 rabbits × $  .50 =    40.00
-------------------------------
100 animals          = $1000.00

I got the answer using number theory.  Are you studying
number theory?  That's a university mathematics course.
If so, let me know in the thank-you note and I'll show you
how to solve it using number theory, in the
topic of linear Diophantine equations.

Edwin
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