document.write( "Question 703427: Hi. I don't know how to set this up and solve it. Thank you.\r
\n" ); document.write( "\n" ); document.write( "There are 38 animals in a farmyard. Some are cows and some are chickens. In total there are 104 legs. How many chickens are there?
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Algebra.Com's Answer #433509 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "There are \"38\" animals in a farmyard. Some are \"cows=x\" and some are \"chickens=y\". In total there are \"104\" legs.\r
\n" ); document.write( "\n" ); document.write( "cows have four legs, so it will be \"4x\" cows' legs \r
\n" ); document.write( "\n" ); document.write( "chickens have two legs, so it will be \"2y\" chickens' legs \r
\n" ); document.write( "\n" ); document.write( "since there are \"104\" legs, we have\r
\n" ); document.write( "\n" ); document.write( "\"4x%2B2y=104\"......eq. 1\r
\n" ); document.write( "\n" ); document.write( "since given that there are \"38\" animals in a farmyard, we have\r
\n" ); document.write( "\n" ); document.write( "\"x%2By=38\".........eq. 2\r
\n" ); document.write( "\n" ); document.write( "now solve this system:\r
\n" ); document.write( "\n" ); document.write( "\"4x%2B2y=104\"......eq. 1
\n" ); document.write( "\"x%2By=38\".........eq. 2
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\n" ); document.write( "\n" ); document.write( "start with \"x%2By=38\".........eq. 2 and solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=38-y\".....substitute it in eq. 1\r
\n" ); document.write( "\n" ); document.write( "\"4%2838-y%29%2B2y=104\"......eq. 1...solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"152-4y%2B2y=104\"\r
\n" ); document.write( "\n" ); document.write( "\"152-2y=104\"\r
\n" ); document.write( "\n" ); document.write( "\"152-104=2y\"\r
\n" ); document.write( "\n" ); document.write( "\"48=2y\"\r
\n" ); document.write( "\n" ); document.write( "\"48%2F2=y\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%2824=y%29\"....so, there are \"24\" chickens\r
\n" ); document.write( "\n" ); document.write( "go back to \"x=38-y\" and find \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=38-24\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=14%29\"\r
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