document.write( "Question 1057508: Jim drove a total of 200 miles on a trip to visit his parents. The return route was 8 miles longer than the route he took on the way to his parents house. How many miles did Jim drive on the way to his parent’s house?
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Algebra.Com's Answer #672536 by solve_for_x(190)![]() ![]() ![]() You can put this solution on YOUR website! Let x represent the length of the route on the initial leg of the journey.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The return trip, since it was 8 miles longer, can be represented by x + 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then, since the total distance traveled is 200 miles, we can write the following \n" ); document.write( "equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + (x + 8) = 200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Collecting the x terms on the left side gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 8 = 200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtracting 8 from both sides leaves:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 192\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dividing by 2 then leaves:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 96\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus, the trip TO his parent's house was 96 miles long. \n" ); document.write( " |