SOLUTION: A salesperson purchased an automobile that was advertised as averaging 25 mi/gal in the city and 40 mi/gal on the highway. A recent sales trip that covered 1800 miles required 51 g

Question 346965: A salesperson purchased an automobile that was advertised as averaging 25 mi/gal in the city and 40 mi/gal on the highway. A recent sales trip that covered 1800 miles required 51 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
A recent sales trip that covered 1800 miles required 51 gallons of gasoline.
Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
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Let x be the city miles.
Then 1800-x are the highway miles.
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distance/miles per gallon = gallons
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Equation:
gallons + gallons = 51 gallons
x/25 + (1800-x)/40 = 51 gallons
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Multiply thru by 25*40 to get:
40x + 25*1800 - 25x = 51*25*40
15x = 6000
x = 400 (miles of city driving)

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