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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |