SOLUTION: A salesperson purchased a car 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 used 51 gallons of g

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Question 629928: A salesperson purchased a car 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 used 51 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

A salesperson purchased a car 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 used 51 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many mileshighlight%28x%29 were driven in the city?

Question states*** 51 gal used

 x%2F25+%2B+%281800-x%29%2F40+=+51   |Multiplying thru by 200 so as all denominators = 1

 8x + 5(1800-x) = 10200     | Solve for x