SOLUTION: 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 1978 miles required 59 g

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Question 831511: 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 1978 miles required 59 gallons of gasoline. Assuming that the advertised mileage estimates were correct, how many miles were driven in the city?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform rates, fuel efficiency a rate.

Let R= fuel efficiency, miles per gallon.
v volume and m d distance;
highlight_green%28Rv=d%29

_____________rate______________volume___________distance
City_________27_________________x_______________27x
Highway______38_________________y_______________38y
Total___________________________59_____________1978

Make the two equations and solve for x and y.
Compute the distances.