document.write( "Question 1021617: A 45-foot rope is cut into 2 pieces. Seven less than three times the length of the longer rope piece x is five times the length of the shorter piece, which is (45 − x) ft. Find the length of the longer rope piece x (in ft). (Enter an exact number.) \n" ); document.write( "
Algebra.Com's Answer #637431 by macston(5194)\"\" \"About 
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S=shorter piece; L=longer piece
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\n" ); document.write( "S=45-L
\n" ); document.write( "L=45-S
\n" ); document.write( ".
\n" ); document.write( "3L-7=5S
\n" ); document.write( "(3L-7)/5=S
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "L=45-S
\n" ); document.write( "L=45-((3L-7)/5)
\n" ); document.write( "5L=225-(3L-7)
\n" ); document.write( "5L=225-3L+7
\n" ); document.write( "8L=232
\n" ); document.write( "L=29
\n" ); document.write( ".
\n" ); document.write( "S=45-L=45-29=16
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\n" ); document.write( "ANSWER: The long piece is 29 feet and the short piece is 16 feet.
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\n" ); document.write( "CHECK:
\n" ); document.write( "3L-7=5S
\n" ); document.write( "3(29)-7=5(16)
\n" ); document.write( "87-7=80
\n" ); document.write( "80=80
\n" ); document.write( ".\r
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