document.write( "Question 1168128: 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 25 miles per gallon of gas. During one particular week, the two cars went a combined total of 1575 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( "

Algebra.Com's Answer #792745 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas
\n" ); document.write( "and the second has a fuel efficiency of 25 miles per gallon of gas.
\n" ); document.write( "During one particular week, the two cars went a combined total of 1575 miles, for a total gas consumption of 45 gallons.
\n" ); document.write( "How many gallons were consumed by each of the two cars that week?
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document.write( "Let x be the number of gallons were consumed by the first car.\r\n" );
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document.write( "Then the number of gallons consumed by the second car is  (45-x).\r\n" );
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document.write( "The distance traveled by the first car is 40x miles.\r\n" );
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document.write( "The distance traveled by the second car is 25*(45-x) miles.\r\n" );
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document.write( "The total distance equation is\r\n" );
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document.write( "    40x + 25*(45-x) = 1575  miles.\r\n" );
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document.write( "From this equation, express x and calculate\r\n" );
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document.write( "    x =  = 30.\r\n" );
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document.write( "ANSWER.  The first car consumed 30 gallons of fuel.  The second car consumed the rest (45-30) = 15 gallons.\r\n" );
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