SOLUTION: A car gets 18 MPG in city driving and 24 MPG in highway driving. The car is driven 465 miles on 23 gallons of gasoline. How may miles were driven in the city and how many miles w

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A car gets 18 MPG in city driving and 24 MPG in highway driving. The car is driven 465 miles on 23 gallons of gasoline. How may miles were driven in the city and how many miles w      Log On


   

Question 220016: A car gets 18 MPG in city driving and 24 MPG in highway driving. The car is driven 465 miles on 23 gallons of gasoline. How may miles were driven in the city and how many miles were driven on the highway?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A car gets 18 MPG in city driving and 24 MPG in highway driving. The car is driven 465 miles on 23 gallons of gasoline. How may miles were driven in the city and how many miles were driven on the highway?
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Equation:
miles + miles = miles
18x + 24(23-x) = 465 miles
18x + 24*23 - 24x = 465
-6x = 465-24*23
-6x = -87
x = 14.5 gallons
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highway distance = 24(23-14.5) = 204 miles
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Cheers,
Stan H.