document.write( "Question 491642: a piece of lumber which is 55 inches long is cut into two parts such that 2 times the larger part will be 12 more than 5 times the smaller part. How large are each of the pieces of lumber? \n" ); document.write( "
Algebra.Com's Answer #334743 by ptaylor(2198)\"\" \"About 
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Let x=the smaller part
\n" ); document.write( "Then 55-x=the larger part
\n" ); document.write( "Now we are told the following:
\n" ); document.write( "2(55-x)=5x+12 simplify
\n" ); document.write( "110-2x=5x+12 add 2x to and subtract 12 from each side
\n" ); document.write( "110-2x+2x-12=5x+2x+12-12 collect like terms
\n" ); document.write( "98=7x
\n" ); document.write( "x=14 in--------------------smaller part
\n" ); document.write( "55-x=55-14=41 in-----------larger part\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "2 times larger part=2*41=82 in
\n" ); document.write( "5 times smaller part=5*14=70 in
\n" ); document.write( "70+12=82
\n" ); document.write( "82=82\r
\n" ); document.write( "\n" ); document.write( "Hope this helps -----ptaylor\r
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