document.write( "Question 153398: a car used 14 gal. of gas an traveled a total distance of 550 mi. the car's fuel efficiency is 40 mi./gal on the highway and 35 mi/gal in the city. how many gal of gasoline were used on the highway? \r
\n" ); document.write( "\n" ); document.write( "write linear equation and solve
\n" ); document.write( "

Algebra.Com's Answer #112912 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
a car used 14 gal. of gas and traveled a total distance of 550 mi. the car's fuel efficiency is 40 mi./gal on the highway and 35 mi/gal in the city. how many gal of gasoline were used on the highway?
\n" ); document.write( "------------------------
\n" ); document.write( "Let h be distance on highway ; Let c be distance in city.
\n" ); document.write( "--------------
\n" ); document.write( "EQUATIONS:
\n" ); document.write( "distance equation: h + c = 550
\n" ); document.write( "gas use equation : (h/40 + c/35) = 14
\n" ); document.write( "Simplifying the 2nd equation:
\n" ); document.write( "7h + 8c = 3920
\n" ); document.write( "----------------------------------
\n" ); document.write( "EQUATIONS:
\n" ); document.write( "h + c = 550
\n" ); document.write( "7h+8c = 3920
\n" ); document.write( "---------------------
\n" ); document.write( "Modify:
\n" ); document.write( "8h + 8c = 4400
\n" ); document.write( "7h + 8c = 3920
\n" ); document.write( "-----------------
\n" ); document.write( "h = 480 miles (distance traveled on the highway)
\n" ); document.write( "480/40 = 12 gallons (# of gallons of gas used in highway travel)
\n" ); document.write( "===========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );