document.write( "Question 770732: A family has two cars. The first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 2100 miles, for a total gas consumption of 60 gallons. How many gallons were consumed by each of the two cars that week? \n" ); document.write( "
Algebra.Com's Answer #469719 by oscargut(2103)![]() ![]() You can put this solution on YOUR website! Let x = fuel consumed by the first car \n" ); document.write( "Let y = fuel consumed by the second car\r \n" ); document.write( "\n" ); document.write( "Then:\r \n" ); document.write( "\n" ); document.write( "x+y = 60 \n" ); document.write( "25x+40y = 2100\r \n" ); document.write( "\n" ); document.write( "Then:\r \n" ); document.write( "\n" ); document.write( "25x+40(60-x)=2100\r \n" ); document.write( "\n" ); document.write( "-15x+2400 = 2100\r \n" ); document.write( "\n" ); document.write( "15x = 300\r \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( "\n" ); document.write( "x = 20 \n" ); document.write( "y = 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can ask me more at: mthman@gmail.com\r \n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( " \n" ); document.write( " |