document.write( "Question 303513: In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 65. The first car has consumed 25 gallons during that week, and the second has consumed 35 gallons, for a total of 2025 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars in that week? \n" ); document.write( "
Algebra.Com's Answer #217560 by mananth(16946)![]() ![]() You can put this solution on YOUR website! In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 65. The first car has consumed 25 gallons during that week, and the second has consumed 35 gallons, for a total of 2025 miles driven by the two cars combined. What was the average gas mileage obtained by each of the two cars in that week?\r \n" ); document.write( "\n" ); document.write( "Let the first car travel x miles in the week\r \n" ); document.write( "\n" ); document.write( "Average of first car = x/25 \r \n" ); document.write( "\n" ); document.write( "The second car travesl 2025-x miles in that week\r \n" ); document.write( "\n" ); document.write( "The average of second car = 2025-x / 35\r \n" ); document.write( "\n" ); document.write( "x/25 + 2025-x / 35 = 65\r \n" ); document.write( "\n" ); document.write( "35x+25*2025 -25x / 35*25* 65\r \n" ); document.write( "\n" ); document.write( "10x+50625 = 56875\r \n" ); document.write( "\n" ); document.write( "10x= 56875-50625\r \n" ); document.write( "\n" ); document.write( "10x=6250\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x= 625 miles distance traveled by first car\r \n" ); document.write( "\n" ); document.write( "2025-625= 1400 miles second car\r \n" ); document.write( "\n" ); document.write( "Ananth\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |