document.write( "Question 944923: 8) During a road trip, Tony drove one-third the distance that Lana drove. Mark drives 12 more miles than Lana
\n" ); document.write( "drove. The total distance they drove on the trip was 369 miles. How many miles did each person drive? \n" ); document.write( "

Algebra.Com's Answer #576186 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = distance Tony drove
\n" ); document.write( "Let $\"+b+\"$ = distance that Mark drove
\n" ); document.write( "Let $\"+c+\"$ = distance that Lana drove
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) $\"+a+=+%281%2F3%29%2Ac+\"$
\n" ); document.write( "(2) $\"+b+=+c+%2B+12+\"$
\n" ); document.write( "(3) $\"+a+%2B+b+%2B+c+=+369+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) and (2) into (3)
\n" ); document.write( "(3) $\"+%281%2F3%29%2Ac+%2B+c+%2B+12+%2B+c+=+369+\"$
\n" ); document.write( "(3) $\"+c+%2B+3c+%2B+36+%2B+3c+=+1107+\"$
\n" ); document.write( "(3) $\"+7c+=+1071+\"$
\n" ); document.write( "(3) $\"+c+=+153+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+%281%2F3%29%2Ac+\"$
\n" ); document.write( "(1) $\"+a+=+51+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+b+=+c+%2B+12+\"$
\n" ); document.write( "(2) $\"+b+=+153+%2B+12+\"$
\n" ); document.write( "(2) $\"+b+=+165+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Tony drove 51 mi
\n" ); document.write( "Mark drove 165 mi
\n" ); document.write( "Lana drove 153 mi
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+a+%2B+b+%2B+c+=+369+\"$
\n" ); document.write( "(3) $\"+51+%2B+165+%2B+153+=+369+\"$
\n" ); document.write( "(3) $\"+369+=+369+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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