document.write( "Question 1153241: 1. When it is assembled, a flute is 27 inches long. The middle piece is 5 inches longer than the first piece. The last piece is 2 inches less than two-thirds as long as the first piece. Find the length of each piece of the flute.
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\n" ); document.write( " Having trouble with this question. I have tried numerous ways to solve for the length of each piece and am coming up empty. Thanks Mayra
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Algebra.Com's Answer #775430 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "1. When it is assembled, a flute is 27 inches long. The middle piece is 5 inches longer than the first piece. The last piece is 2 inches less than two-thirds as long as the first piece. Find the length of each piece of the flute.
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\n" ); document.write( " Having trouble with this question. I have tried numerous ways to solve for the length of each piece and am coming up empty. Thanks Mayra
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Let length of 1st piece be F
\n" ); document.write( "Then length of middle piece = F + 5
\n" ); document.write( "Also, length of last piece = \"2F%2F3+-+2\"
\n" ); document.write( "We then get: \"matrix%281%2C3%2C+F+%2B+F+%2B+5+%2B+2F%2F3+-+2%2C+%22=%22%2C+27%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+2F+%2B+2F%2F3%2C+%22=%22%2C+24%29\" ------ Subtracting 3 from each side, after combining like-terms
\n" ); document.write( "6F + 2F = 72 ----- Multiplying by LCD, 3
\n" ); document.write( "8F = 72
\n" ); document.write( "F, or length of 1st piece = \"highlight_green%28matrix%281%2C4%2C+72%2F8%2C+%22=%22%2C+9%2C+inches%29%29\"
\n" ); document.write( "You should be able to find the lengths of the other 2 pieces now! \n" ); document.write( "
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