document.write( "Question 638453: A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During one particular week, the two cars went a combined total of 925 miles, for a total gas consumption of 40 gallons. How many gallons were consumed by each of the two cars that week? \n" ); document.write( "
Algebra.Com's Answer #402202 by lwsshak3(11628) ![]() You can put this solution on YOUR website! A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During one particular week, the two cars went a combined total of 925 miles, for a total gas consumption of 40 gallons. How many gallons were consumed by each of the two cars that week? \n" ); document.write( "** \n" ); document.write( "let x=gas consumed by 1st car \n" ); document.write( "40-x =gas consumed by 2nd car \n" ); document.write( "distance traveled=fuel efficiency*gas consumed \n" ); document.write( ".. \n" ); document.write( "20x+25(40-x)=925 \n" ); document.write( "20x+1000-25x=925 \n" ); document.write( "5x=75 \n" ); document.write( "x=15 \n" ); document.write( "40-x=25 \n" ); document.write( "gas consumed by 1st car=15 gal \n" ); document.write( "gas consumed by 2nd car=25 gal \n" ); document.write( " |