document.write( "Question 884126: When it is assembled, a flute is 29 inches long. The middle piece is 4 inches less than twice as long as the first piece. The last piece is two-thirds as long as the first piece. Find the length of each piece of the flute. \n" ); document.write( "
Algebra.Com's Answer #534686 by JulietG(1812)\"\" \"About 
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A + B + C = 29
\n" ); document.write( "B = 2A-4
\n" ); document.write( "C = \"2%2F3\"A
\n" ); document.write( "Substitute the known values of B & C into the first equation.
\n" ); document.write( "A + B + C = 29
\n" ); document.write( "A + (2A-4) + \"2%2F3\"A = 29
\n" ); document.write( "Add
\n" ); document.write( "3\"2%2F3\"A - 4 = 29
\n" ); document.write( "Add 4 to each side
\n" ); document.write( "3\"2%2F3\"A = 33
\n" ); document.write( "\"11%2F3\"A = 33
\n" ); document.write( "Let's get rid of that pesky fraction; multiply each side by 3
\n" ); document.write( "11A = 99
\n" ); document.write( "Divide each side by 11
\n" ); document.write( "A = 9
\n" ); document.write( ".
\n" ); document.write( "Now that we have A, we can find the other lengths.
\n" ); document.write( "B is (2*9) - 4, or 18-4, or 14
\n" ); document.write( "C is \"2%2F3\"of 9, or 6
\n" ); document.write( "Add them all together to prove -- 9 + 14 + 6 = 29
\n" ); document.write( "Success!
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