document.write( "Question 375952: A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1650 miles, for a total gas consumption of 45 gallons. How many gallons were consumed by each of the two cars that week? \n" ); document.write( "

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A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1650 miles, for a total gas consumption of 45 gallons. How many gallons were consumed by each of the two cars that week?
\n" ); document.write( "-------
\n" ); document.write( "Equation:
\n" ); document.write( "1st car DATA:
\n" ); document.write( "rate = 40 mi/gal ; # of gallons = x gal ; distance = 40x miles
\n" ); document.write( "-----
\n" ); document.write( "2nd car DATA:
\n" ); document.write( "30 mi/gal ; # of gallons = 45-x gal ; distance = 30(45-x) miles
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "40x + 30*45-30x = 1650
\n" ); document.write( "-----
\n" ); document.write( "10x = -1350+1650
\n" ); document.write( "---
\n" ); document.write( "x = 30 gallons (gas consumed by 1st car)
\n" ); document.write( "45-x = 15 gallons (gas consumed by 2nd car)
\n" ); document.write( "------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "

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