document.write( "Question 509686: 3 chickens and a duck sold for as much as 2 geese;1chicken, 2 ducks, and 3 geese were sold for $25.00. What was the price of each bird in exact number of dollars? \n" ); document.write( "

Algebra.Com's Answer #341578 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(1) $\"+3c+%2B+d+=+2g+\"$
\n" ); document.write( "(2) $\"+c+%2B+2d+%2B+3g+=+25+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "(1) $\"+3c+%2B+d+-+2g+=+0+\"$
\n" ); document.write( "(2) $\"+c+%2B+2d+%2B+3g+=+25+\"$
\n" ); document.write( "Add the equations:
\n" ); document.write( "(3) $\"+4c+%2B+3d+%2B+g+=+25+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "There are 3 unknowns and only 2 equations, so it isn't
\n" ); document.write( "directly solvable, but trial and error might work
\n" ); document.write( "Suppose
\n" ); document.write( "g = 6
\n" ); document.write( "d = 1
\n" ); document.write( "c = 4
\n" ); document.write( "Almost
\n" ); document.write( "(2) $\"+24+=+25+\"$
\n" ); document.write( "(3) $\"+25+=+25+\"$
\n" ); document.write( "Suppose
\n" ); document.write( "g = 5
\n" ); document.write( "d = 4
\n" ); document.write( "c = 2
\n" ); document.write( "I think this works!
\n" ); document.write( "(1) $\"+3c+%2B+d+=+2g+\"$
\n" ); document.write( "(1) $\"+3%2A2+%2B+4+=+2%2A5+\"$
\n" ); document.write( "(1) $\"+6+%2B+4+=+10+\"$
\n" ); document.write( "(1) $\"+10+=+10+\"$
\n" ); document.write( "OK
\n" ); document.write( "(2) $\"+c+%2B+2d+%2B+3g+=+25+\"$
\n" ); document.write( "(2) $\"+2+%2B+2%2A4+%2B+3%2A5+=+25+\"$
\n" ); document.write( "(2) $\"+2+%2B+8+%2B+15+=+25+\"$
\n" ); document.write( "(2) $\"+25+=+25+\"$
\n" ); document.write( "OK
\n" ); document.write( "Ducks cost $4 ea
\n" ); document.write( "Chickens cost $2 ea
\n" ); document.write( "Geese cost $5 ea \n" ); document.write( "

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