document.write( "Question 1062642: A piece of rope was cut into 2 parts such that the lengths of the two are in the ratio 5:6.If one piece was linger by 10m,how long was each piece? \n" ); document.write( "

Algebra.Com's Answer #677608 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+x+\"$ = the length of the shorter piece in meters
\n" ); document.write( " $\"+x+%2B+10+\"$ = the length of the longer piece in meters
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+5%2F6+=+x%2F%28+x+%2B+10+%29+\"$
\n" ); document.write( " $\"+5%2A%28+x+%2B+10+%29+=+x%2A6+\"$
\n" ); document.write( " $\"+5x+%2B+50+=+6x+\"$
\n" ); document.write( " $\"+x+=+50+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x%2B+10+=+60+\"$
\n" ); document.write( "The shorter piece is 50 m
\n" ); document.write( "The longer piece is 60 m
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+5%2F6+=+50%2F60+\"$
\n" ); document.write( " $\"+5%2F6+=+5%2F6+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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