SOLUTION: A farmer goes to market and buys a hundred animals at a total cost of $1,000.00. The price of cows being $50.00 each, sheep $10.00 each, and rabbits $0.50 each, how many of each ki

Question 542348: A farmer goes to market and buys a hundred animals at a total cost of $1,000.00. The price of cows being $50.00 each, sheep $10.00 each, and rabbits $0.50 each, how many of each kind does he buy? Most people will solve this, if they succeed at all, by more or lee laborious trail, but there are several direct ways of getting the solution
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A farmer goes to market and buys a hundred animals at a total cost of $1,000.00.
The price of cows being $50.00 each, sheep $10.00 each, and rabbits $0.50 each, how many of each kind does he buy?
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Value Equation:
50c + 10s + 0.5r = 1,000
c + s + c = 100
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50c + 10s + 0.5r = 1000
10c + 10s + 10r = 1000
----
Subtract to get:
40c - 9.5r = 0
40c = 9.5r
c/r = 9.5/40
c/r = 19/80
----
# of chickens = 19
# of rabbits = 80
# of sheep = 1
==================
Cheers,
Stan H.

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