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
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document.write( "write linear equation and solve \n" );
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Algebra.Com's Answer #112912 by stanbon(75887)![]() ![]() ![]() 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( " |