document.write( "Question 778224: the honda civic hybrid vehicle, powered by gasoline-electric technology, gets 49 mpg in city driving and 51mpg in highway driving. the car is driven 447 miles on 9 gallons of gasoline. how many miles were driven in the city and how many were driven on the highway? \n" ); document.write( "

Algebra.Com's Answer #474502 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+x+\"$ = number of miles driven in the city
\n" ); document.write( " $\"+447+-+x+\"$ = miles driven on highway
\n" ); document.write( "----------------
\n" ); document.write( "Note that:
\n" ); document.write( "( miles driven ) / ( miles / gallon ) = ( gallons used )
\n" ); document.write( "I can say:
\n" ); document.write( " $\"+x+%2F+49+%2B+%28+447+-+x+%29+%2F+51++=+9+\"$
\n" ); document.write( "Multiply both sides by $\"+49%2A51+\"$
\n" ); document.write( " $\"+51x+%2B+49%2A%28+447+-+x+%29+=+9%2A49%2A51+\"$
\n" ); document.write( " $\"+51x+%2B+21903+-+49x+=+22491+\"$
\n" ); document.write( " $\"+2x+=+22491+-+21903+\"$
\n" ); document.write( " $\"+2x+=+588+\"$
\n" ); document.write( " $\"+x+=+294+\"$
\n" ); document.write( " $\"+447+-+294+=+153+\"$
\n" ); document.write( "294 miles were driven in the city
\n" ); document.write( "153 miles were driven on highway
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+x+%2F+49+%2B+%28+447+-+x+%29+%2F+51++=+9+\"$
\n" ); document.write( " $\"+294+%2F+49+%2B+153+%2F+51++=+9+\"$
\n" ); document.write( " $\"++6+%2B+3+=+9+\"$
\n" ); document.write( " $\"+9+=+9+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );