document.write( "Question 1042189: Cut a 12-ft beam into two pieces so that one piece is 18 in. longer than the other. Find the length of each piece. \n" ); document.write( "

Algebra.Com's Answer #657144 by josmiceli(19441) $\"\"$ $\"About$

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Convert all dimensions to inches
\n" ); document.write( "[ ft ] x [ in/ft ] = [ in ]
\n" ); document.write( " $\"+12%2A12+=+144+\"$ in
\n" ); document.write( "-------------------
\n" ); document.write( "Let $\"+x+\"$ = the length in inches of the shorter piece
\n" ); document.write( " $\"+x+%2B+18+\"$ = the length of the longer piece in inches
\n" ); document.write( " $\"+x+%2B+x+%2B+18+=+144+\"$
\n" ); document.write( " $\"+2x+=+144+-+18+\"$
\n" ); document.write( " $\"+2x+=+126+\"$
\n" ); document.write( " $\"+x+=+63+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+%2B+18+=+81+\"$
\n" ); document.write( "----------------
\n" ); document.write( "The pieces are 63 inches and 81 inches long
\n" ); document.write( "check:
\n" ); document.write( " $\"+63+%2B+81+=+144+\"$
\n" ); document.write( " $\"+144+=+144+\"$
\n" ); document.write( "OK \n" ); document.write( "

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