document.write( "Question 1084852: Need this Linear Mat Question answered: TODAY! \r
\n" ); document.write( "\n" ); document.write( "A police academy is training 14 new recruits. Some are working dogs and others are police officers. There are 38 legs in all. How many of each type of recruit are there?
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Algebra.Com's Answer #698905 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "A police academy is training \"14\" new recruits.
\n" ); document.write( "Some are working dogs and others are police officers.
\n" ); document.write( "let dogs be \"d\" and police officers \"p\"\r
\n" ); document.write( "\n" ); document.write( "so, \"d%2Bp=14\"........eq.1\r
\n" ); document.write( "\n" ); document.write( "There are \"38\" legs in all.\r
\n" ); document.write( "\n" ); document.write( " dogs have \"4\" legs; so, the number of dogs legs is \"4d\"
\n" ); document.write( " police officer have \"2\" legs; so, the number of police officers legs is \"2p\" \r
\n" ); document.write( "\n" ); document.write( "then, \"4d%2B2p=38\" ........eq.2\r
\n" ); document.write( "\n" ); document.write( "solve the system:
\n" ); document.write( "\"d%2Bp=14\"........eq.1
\n" ); document.write( " \"4d%2B2p=38\" ........eq.2....both sides divide by \"2\"
\n" ); document.write( "--------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "\"d%2Bp=14\"........eq.1
\n" ); document.write( " \"2d%2Bp=19\".......eq.2
\n" ); document.write( "-----------------------------------------subtract eq1 from eq2\r
\n" ); document.write( "\n" ); document.write( " \"2d%2Bp-%28d%2Bp%29=19-14\".......eq.2\r
\n" ); document.write( "\n" ); document.write( " \"2d%2Bp-d-p=5\"\r
\n" ); document.write( "\n" ); document.write( " \"d=5\"-> there was \"5\" dogs\r
\n" ); document.write( "\n" ); document.write( "\"5%2Bp=14\"........eq.1
\n" ); document.write( "\"p=14-5\"
\n" ); document.write( "\"p=9\"-> there was \"9\" police officers\r
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