document.write( "Question 1082652: Starting with a full tank of gas, if you use 9 gallons of gasoline, your car can go another 315 miles before running out of fuel. After using 14 gallons, your car can go another 240 miles.\r
\n" ); document.write( "\n" ); document.write( "What is your average fuel efficiency? miles per gallon \r
\n" ); document.write( "\n" ); document.write( "How many miles could you drive in this car on a full tank of gas? miles
\n" ); document.write( "

Algebra.Com's Answer #696717 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+x+\" = the number of gallons in a full tank
\n" ); document.write( "The fuel efficiency is:
\n" ); document.write( "\"+315+%2F+%28+x-9+%29+\"
\n" ); document.write( "and, also:
\n" ); document.write( "\"+240+%2F+%28+x+-+14+%29+\"
\n" ); document.write( "---------------------
\n" ); document.write( "The fuel efficiency doesn't change, so:
\n" ); document.write( "\"+315+%2F+%28+x+-+9+%29+=+240+%2F+%28+x+-+14+%29+\"
\n" ); document.write( "Multiply both sides by \"+%28+x+-+9+%29%2A%28+x+-+14+%29+\"
\n" ); document.write( "\"+315%2A%28+x+-+14+%29+=+240%2A%28+x+-+9+%29+\"
\n" ); document.write( "\"+21%2A%28+x+-+14+%29+=+16%2A%28+x+-+9+%29+\"
\n" ); document.write( "\"+21x+-+294+=+16x+-+144+\"
\n" ); document.write( "\"+5x+=+150+\"
\n" ); document.write( "\"+x+=+30+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "The fuel efficiency is:
\n" ); document.write( "\"+315+%2F+%28+x+-+9+%29+\"
\n" ); document.write( "\"+315+%2F+%28+30+-+9+%29+\"
\n" ); document.write( "\"+315+%2F+21+=+15+\"
\n" ); document.write( "15 miles/gallon
\n" ); document.write( "---------------------------
\n" ); document.write( "The miles you could drive on a full tank:
\n" ); document.write( "\"+15x+=+15%2A30+\"
\n" ); document.write( "\"+15x+=+450+\"
\n" ); document.write( "450 miles
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+240+%2F+%28+x+-+14+%29+\"
\n" ); document.write( "\"+240+%2F+%28+30+-+14+%29+\"
\n" ); document.write( "\"+240+%2F+16+=+15+\"
\n" ); document.write( "15 miles/gallon
\n" ); document.write( "OK
\n" ); document.write( "
\n" );