document.write( "Question 515265: A 21-inch rope is to be cut into two pieces so that one piece is 5 inches longer than twice the other. How long is each piece, if a = 2, b = 5, and l = 21? \n" ); document.write( "

Algebra.Com's Answer #343879 by Maths68(1474) $\"\"$ $\"About$

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Let
\n" ); document.write( "One Piece = x inches
\n" ); document.write( "Other Piece = 21-x inches
\n" ); document.write( "one piece is 5 inches longer than twice the other
\n" ); document.write( "x=2(21-x)+5
\n" ); document.write( "x=42-2x+5
\n" ); document.write( "x=47-2x
\n" ); document.write( "x+2x=47
\n" ); document.write( "3x=47
\n" ); document.write( "3x/3=47/3
\n" ); document.write( "x=15.66 \r
\n" ); document.write( "\n" ); document.write( "One Piece = x = 15.66 inches
\n" ); document.write( "Other Piece = 21-x = 21-15.66 = 5.33 inches\r
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\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "x=2(21-x)+5
\n" ); document.write( "15.66=2(21-15.66)+5
\n" ); document.write( "15.66=(42-31.32)+5
\n" ); document.write( "15.66=10.68+5
\n" ); document.write( "15.66=15.68
\n" ); document.write( "round it off to 1 dp
\n" ); document.write( "15.7=15.7\r
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