document.write( "Question 1189914: A family has two cars. The first car has a fuel efficiency of 35 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 1975 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week? \n" ); document.write( "

Algebra.Com's Answer #821419 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A family has two cars. The first car has a fuel efficiency of 35 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 1975 miles,
\n" ); document.write( "for a total gas consumption of 65 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 = # gallons consumed by one car.\r\n" );
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document.write( "Then the number of gallons consumed by the other car is (65-x).\r\n" );
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document.write( "The combined traveled distance  equation is\r\n" );
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document.write( "    35*x + 25*(65-x) = 1975   miles.\r\n" );
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document.write( "From this equation,  x =  = 35.\r\n" );
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document.write( "ANSWER.  First car consumed 35 gallons.  The second car consumed the rest  65 - 35 = 30 gallons.\r\n" );
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document.write( "CHECK.   35*35 + 25*30 = 1975  miles, the combined distance.   ! Correct !\r\n" );
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