document.write( "Question 768574: A salesperson purchased an automobile that was advertised as averaging 27 mi/gal in the city and 38 mi/gal on the highway. A recent sales trip that covered 1706 miles required 53 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city? \n" ); document.write( "

Algebra.Com's Answer #468402 by ramkikk66(644) $\"\"$ $\"About$

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document.write( "A salesperson purchased an automobile that was advertised as averaging 27 mi/gal in the city and 38 mi/gal on the highway. A recent sales trip that covered 1706 miles required 53 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
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document.write( "Ans:
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document.write( "Let x miles be driven in the city.
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document.write( "Then miles driven in highway = 1706 - x
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document.write( "Gasolene required for city driving = x/27
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document.write( "Gasolene required for highway = (1706 - x)/38
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document.write( "Total gasoline = 
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document.write( "Multiplying by LCM of 27 and 38 which is 1026, to eliminate the denominator
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document.write( "Simplifying and grouping like terms
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document.write( "So miles driven in city = 756
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document.write( "Miles driven in highway = 1706 - 756 = 950\r
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document.write( "Hope you got it :) \n" );
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