document.write( "Question 829809: A car gets 17 mpg in the city & 30 mpg on the highway. Say I used 10.636 gallons of gas and got an average of 19 mpg for the trip. How many miles were driven in city and how many in highway? \n" ); document.write( "
Algebra.Com's Answer #500116 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! Recognize this as uniform rates and R*v=u where R is fuel efficiency miles per gallon, v is gallons, u is miles.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " _____________Rate____________gallons volume____________miles distance \n" ); document.write( "City__________17______________(____)____________________(____) \n" ); document.write( "HWay__________30______________(____)____________________(____) \n" ); document.write( "Total____avg, 19_______________10.636___________________(____)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Begin fillin in what you can:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " _____________Rate____________gallons volume____________miles distance \n" ); document.write( "City__________17______________(____)____________________(____) \n" ); document.write( "HWay__________30______________(____)____________________(____) \n" ); document.write( "Total____avg, 19_______________10.636___________________(19*10.636=202.084)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Obviously two sums should be formed for the two \"totals\". Let us use x and y for the gallon volumes as shown next:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " _____________Rate____________gallons volume____________miles distance \n" ); document.write( "City__________17______________(x)____________________(17x) \n" ); document.write( "HWay__________30______________(y)____________________(30y) \n" ); document.write( "Total____avg, 19_______________10.636___________________(19*10.636=202.084)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "SYSTEM OF EQUATIONS: \n" ); document.write( "------------------------------ \n" ); document.write( " \n" ); document.write( "------------------------------ \n" ); document.write( " \n" ); document.write( "------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve that system and you will have the volume of fuel used in each of City and Highway driving for the trip, and from x and y, compute the miles for City and Highway.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Choose whichever method you like for solving the system. \n" ); document.write( " |