document.write( "Question 299880: a cable that is 55 ft. long is to be cut into two pieces whose legnths have a ratio of 4 to 7. find the lenght of the two pices. \n" ); document.write( "

Algebra.Com's Answer #215311 by Fombitz(32388) $\"\"$ $\"About$

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Let's call the two length A and B.
\n" ); document.write( "1. $\"A%2BB=55\"$
\n" ); document.write( "2. $\"A%2FB=4%2F7\"$
\n" ); document.write( "From eq. 2,
\n" ); document.write( " $\"A%2FB=4%2F7\"$
\n" ); document.write( " $\"7A=4B\"$
\n" ); document.write( "Substitute into eq. 1,
\n" ); document.write( " $\"A%2BB=55\"$
\n" ); document.write( " $\"7A%2B7B=385\"$
\n" ); document.write( " $\"4B%2B7B=385\"$
\n" ); document.write( " $\"11B=385\"$
\n" ); document.write( " $\"highlight_green%28B=35%29\"$
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( " $\"A%2B35=55\"$
\n" ); document.write( " $\"highlight_green%28A=20%29\"$
\n" ); document.write( " \n" ); document.write( "

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