document.write( "Question 375837: A board 21 ft long is cut into two pieces. Five times the length of the shorter piece is 1 ft more than three times the length of the longer piece. Find the length of the two pieces \n" ); document.write( "

Algebra.Com's Answer #267281 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "Let x represent length of the shorter piece
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document.write( "then (21ft -x) would represent the lomger piece
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document.write( "Question states***
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document.write( "5x = 3(21ft-x) +1ft
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document.write( "solving for x
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document.write( "5x = 63ft - 3x + 1ft
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document.write( "8x = 64ft
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document.write( "x = 8 ft, the length of the shorter piece
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document.write( "Longer piece is 13ft  (21ft-8ft)
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document.write( "CHECKING our Answer***
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document.write( "5*8ft = 3*13ft + 1ft = 40ft \n" );
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