document.write( "Question 659735: A 64 -centimeter-long board is cut into 3 pieces. The longest piece is twice as long as the shortest piece. The other piece piece is 4 cm longer that the shortest piece. How long is each piece?
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Algebra.Com's Answer #410910 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! x = longest piece \n" ); document.write( "y = shortest piece \n" ); document.write( "z = 3rd piece\r \n" ); document.write( "\n" ); document.write( "x + y + z = 64cm \n" ); document.write( "x = 2y \n" ); document.write( "z = y + 4\r \n" ); document.write( "\n" ); document.write( "Substitute the second and third equations into the first equation \n" ); document.write( "2y + y + y + 4 = 64 \n" ); document.write( "Combine like terms \n" ); document.write( "4y + 4 = 64 \n" ); document.write( "4y + 4 - 4 = 64 - 4 \n" ); document.write( "4y = 60 \n" ); document.write( "y = 15 cm is the shortest piece \n" ); document.write( "x = 2y = 2(15) = 30cm is the longest piece \n" ); document.write( "z = y + 4 = 15 + 4 = 19cm is the third piece \n" ); document.write( " |