document.write( "Question 475294: the distance around one circular track is three times as far as the distance around a second circular track.if the sum of the distances around both tracks is 80 pie yards, what is the distance around the larger track? \n" ); document.write( "

Algebra.Com's Answer #325912 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+d%5B1%5D+\"$ = diameter of 1st track
\n" ); document.write( "Let $\"+d%5B2%5D+\"$ = diameter of 2nd track
\n" ); document.write( "Distance around 1st track = $\"+pi%2Ad%5B1%5D+\"$
\n" ); document.write( "Distance around 2nd track = $\"+pi%2Ad%5B2%5D+\"$
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+pi%2Ad%5B1%5D+=+3%2Api%2Ad%5B2%5D+\"$
\n" ); document.write( "(2) $\"+pi%2Ad%5B1%5D+%2B+pi%2Ad%5B2%5D+=+pi%2A80+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+3%2Api%2Ad%5B2%5D+%2B+pi%2Ad%5B2%5D+=+pi%2A80+\"$
\n" ); document.write( "(2) $\"+4%2Ad%5B2%5D+=+80+\"$
\n" ); document.write( "(2) $\"+d%5B2%5D+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+pi%2Ad%5B1%5D+=+3%2Api%2Ad%5B2%5D+\"$
\n" ); document.write( "(1) $\"+pi%2Ad%5B1%5D+=+60%2Api+\"$
\n" ); document.write( "(1) $\"+d%5B1%5D+=+60+\"$
\n" ); document.write( "The distance around the larger track is $\"+60%2Api+\"$ yds \n" ); document.write( "

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