document.write( "Question 796982: If a sheep and cow and eat a pile of grass in 30 days
\n" ); document.write( "and the same sheep and goat can eat the same pile of grass in 45 days
\n" ); document.write( "and the same cow and goat can eat the same pile of grass in 60 days\r
\n" ); document.write( "\n" ); document.write( "So how many days will it take the sheep, cow and goat to finnish same pile of grass??
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Algebra.Com's Answer #481632 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Express their rates of eating as:
\n" ); document.write( "( 1 pile of grass ) / ( time to eat the pile in days )
\n" ); document.write( "-----------------------------------
\n" ); document.write( "Let \"+r%5Bs%5D+\" = sheep's rate of eating grass
\n" ); document.write( "Let \"+r%5Bc%5D+\" = cow's rate of eating grass
\n" ); document.write( "Let \"+r%5Bg%5D+\" = goat's rate of eating grass
\n" ); document.write( "-----------------------------------
\n" ); document.write( "(1) \"+r%5Bs%5D+%2B+r%5Bc%5D+=+1%2F30+\"
\n" ); document.write( "(2) \"+r%5Bs%5D+%2B+r%5Bg%5D+=+1%2F45+\"
\n" ); document.write( "(3) \"+r%5Bc%5D+%2B+r%5Bg%5D+=+1%2F60+\"
\n" ); document.write( "----------------------
\n" ); document.write( "Subtract (3) from (2)
\n" ); document.write( "(2) \"+r%5Bs%5D+%2B+r%5Bg%5D+=+1%2F45+\"
\n" ); document.write( "(3) \"+-r%5Bc%5D+-+r%5Bg%5D+=+-1%2F60+\"
\n" ); document.write( "\"+r%5Bs%5D+-+r%5Bc%5D+=+1%2F45+-+1%2F60+\"
\n" ); document.write( "\"+r%5Bs%5D+-+r%5Bc%5D+=+4%2F180+-+3%2F180+\"
\n" ); document.write( "\"+r%5Bs%5D+-+r%5Bc%5D+=+1%2F180+\"
\n" ); document.write( "Add this equation to (1)
\n" ); document.write( "(1) \"+r%5Bs%5D+%2B+r%5Bc%5D+=+1%2F30+\"
\n" ); document.write( "\"+r%5Bs%5D+-+r%5Bc%5D+=+1%2F180+\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"+2r%5Bs%5D+=+1%2F30+%2B+1%2F180+\"
\n" ); document.write( "\"+2r%5Bs%5D+=+6%2F180+%2B+1%2F180+\"
\n" ); document.write( "\"+2r%5Bs%5D+=+7%2F180+\"
\n" ); document.write( "\"+r%5Bs%5D+=+7%2F360+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+r%5Bs%5D+%2B+r%5Bc%5D+=+1%2F30+\"
\n" ); document.write( "(1) \"+7%2F360+%2B+r%5Bc%5D+=+1%2F30+\"
\n" ); document.write( "(1) \"+r%5Bc%5D+=+12%2F360+-+7%2F360+\"
\n" ); document.write( "(1) \"+r%5Bc%5D+=+5%2F360+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+5%2F360+%2B+r%5Bg%5D+=+1%2F60+\"
\n" ); document.write( "(3) \"+5%2F360+%2B+r%5Bg%5D+=+6%2F360+\"
\n" ); document.write( "(3) \"+r%5Bg%5D+=+1%2F360+\"
\n" ); document.write( "------------------
\n" ); document.write( "\"+7%2F360+%2B+5%2F360+%2B+1%2F360+=+1%2Fd+\"
\n" ); document.write( "\"+7+%2B+5+%2B+1+=+360%2Fd+\"
\n" ); document.write( "\"+13+=+360%2Fd+\"
\n" ); document.write( "\"+d+=+360%2F13+\"
\n" ); document.write( "\"+d+=+2.71+\"
\n" ); document.write( "The sheep, cow and goat will take 2.71 days to finish the pile of grass
\n" ); document.write( "You can check the math- my method should be OK\r
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